Reference

9°*eAv o*

NBS

PUBLICATIONS

NAT'L INST. OF STAND & TECH

A 1 1 1 b 3 M fl 3 7

PACKAGE CHECKING

FIELD MANUAL

U.S. DEPARTMENT OF COMMERCE/National Bureau of Standards

To Accompany

NBS Handbook 133:

CHECKING THE

NET CONTENTS

OF PACKAGED GOODS

[ - oc —; NBSIR 85-3172

^ 100 I .1156

85=3172

1985

£ / (NATIONAL BUREAU

XQF STANDARDS Xlibrary

Alg;

/?£r

PACKAGE CHECKING FIELD MANUAL

TO ACCOMPANY NBS HANDBOOK 133

"CHECKING THE NET CONTENTS OF PACKAGED GOODS"

Carroll S. Brickenkamp

Stephen Hasko

Mary G. Natrella

NATIONAL BUREAU OF STANDARDS

i INDEX

Page

INTRODUCTION 1

SECTION 1. TEST PROCEDURE OUTLINES 3

Outline of Package Test-Core Method 5

Category A or B, Standard Pack by Weight 6

Random Pack, Category B, Dry Tare 9

Packages Labeled by Liquid Volume 11

Packages Labeled by Count 14

SECTION 2. SAMPLING PLANS 17

Table 2-5. Sampling Plans of Category B 19

Table 2-2. Sampling Plans of Category A 20

Table 2-3. Values of 0.8598/-/H for Sample

Size n 21

Table 2-4. Values of f for Percent of Lot

Sampled 21

Appendix H. Calculation of the Average

Range 22

Table 5-1. Sampling Plans for Packages

Labeled by Low Count 24

Table 5-2. Sampling Plans for Packages

Given Tolerances 25

SECTION 3.. VARIABLE TARE 27

Table 2-6. Initial Tare Sample Size for

Alternative Tare Procedure 29

Table 2-7. Total Number of Packages to be

Opened for Tare 30

Table 3-2. Test Allowances for Foam Products 32
SECTION 4. WEIGHING RULES 33

Table 3-1. Recommended Maximum Units of Measure

to be Used in Recording

Package Weights 35

Table 4-1. Weighing Devices Appropriate to Use

to Check Common Consumer Products

Labeled by Liquid Volume 36

Table 4-2. Recommended Maximum Units of Measure

to be Used for Recording the

Weights of Packaged Goods

Labeled by Liquid Volume 37

Table 4-3. Permitted Difference in Weights of Two

Equal Quantities According to the

Type of Scale Used to Weigh 38

SECTION 5. MAV's 39

Table 2-8. MAV's for an Individual Package

Labeled by Weight 41

Table 2-9. MAV's for an Individual Package

Labeled by Volume 43

Table 2-10. MAV's for an Individual Package

Labeled by Count 45

Table 2-11. MAV's for an Individual Package

Labeled by Length, Width,

or Area 46

Table 2-12. USDA Lower Limits for Individual

Packages 47

SECTION 6. REPORT FORMS AND WORKSHEETS 49

Table 2-1. Guide to Locations on the Report

Form 51

Standard Pack Report Form 53

Standard Pack Report Form-Weight Only 55

Random Pack Report Form 57

Worksheet for Packages Labeled by Liquid

Volume 59

Worksheet for Packages Labeled by Count 61
m

Worksheet for Checking Paint 63

Table 4-4. Thickness of Paint Can Walls

and Labels 64

Worksheet for Checking Polyethylene

Sheeting 65

SECTION 7. EXAMPLES 67

Category B, Standard Pack Packages Labeled by Weight

Using an Equal-Arm Package

Checking Scale 69

Category B, Standard Pack, Weight, Using an Electronic

Single Pan Balance 70

Category A, Standard Pack, Weight, Using an Equal-Arm

Package Checking Scale 71

Category B, Standard Pack, Volume 72

Category B, Random Pack, Weight 75

Category B, Standard Pack, Volume,

Alternative Tare 78

Category B, Standard Pack, Count 82

SECTION 8. RANDOM NUMBER TABLE 85

1

INTRODUCTION

The Second Edition of NBS Handbook 133, "Checking the Net Contents of

Packaged Goods" (1984) was written to meet several needs of weights and

measures regulatory programs (package testing procedural guide, textbook

for new inspectors, and reference book for unusual types of packages).

This field manual is intended to be an adjunct to Handbook 133 (H-133),

not a substitute for it. It may serve well as a checklist and quick

reference guide, but H-133 remains the source of detailed explanations

and procedures.

This manual has been assembled by extracting tables and report forms

from H-133, rearranging the material, and adding tabbed dividers for

convenient reference. Test procedure outlines and examples of completed

report forms and worksheets have been added. A variation on the

"Standard Pack Report Form" for packages labeled by weight only has also

been included.

Page numbers for the field manual are printed at the top of each page.

Page numbers from H-133 are printed at the bottom of each applicable

table or chart for ease of reference back to the handbook.

The field manual is comprised of eight sections: Test Procedure Outlines,

Sampling Plans, Variable Tare, Weighing Rules, MAV's, Report Forms and

Worksheets, Examples, and a Random Number Table. A description of

each section appears on the first page after each tab divider.

3

SECTION 1. TEST PROCEDURE OUTLINES

Each outline describes the steps that are necessary to determine whether

or not packages are in compliance and where to record information on the

report form or worksheet. The outlines do not describe how to carry out

each step; for this information, the inspector will have to consult H-133.

The outlines for packages labeled by volume and count are abbreviated in

their descriptions of how to determine lot conformance after an average

net contents for the sample has been obtained. These latter outlines

assume the inspector is familiar with these procedures. If necessary, the

inspector should study the outline for standard pack packages labeled by

weight.

The outlines are presented in the following order:

o Outline of Package Test — Core Method

o

o

o

o

Category A or B, Standard Pack by Weight

Random Pack, Category B, Dry Tare

Packages Labeled by Liquid Volume

Packages Labeled by Count (can by used as a model

for packages labeled by length, area, and dry volume)
.
5

FIGURE 3-4.

OUTLINE OF PACKAGE TEST

Standard Pack Packages Labeled by Weight

1. Fill in pertinent data on report form: what is being tested, UNIT OF MEASURE,

MAV, INSPECTION LOT SIZE, SAMPLING PLAN information.

2. Select RANDOM SAMPLE and RANDOM TARE SAMPLE

3. Determine AVERAGE TARE WEIGHT

4. Determine NOMINAL GROSS WEIGHT (labeled weight + average tare weight)

i 5. Determine PACKAGE ERRORS by comparing sample packages with nominal

gross weight

6. Determine UNREASONABLE ERRORS by comparing minus package

errors with MAV

If number of unreasonable errors is greater than allowed by sampling plan,

inspection lot fails test. No further testing is necessary.

7.

Determine AVERAGE PACKAGE ERROR.

If average package error is zero or plus, inspection lot passes test. No further testing is necessary.

If CATEGORY B plan is being used, and average package error is a minus value, inspection lot fails test. No further testing is necessary.

8.

If a CATEGORY A plan is being used and average package error is minus,

determine T.

If average minus package error is larger in magnitude (disregarding the sign)

than T, inspection lot fails test. If average error is smaller, inspection lot passes.

3-8
6

CATEGORY A OR B, STANDARD PACK BY WEIGHT

PROCEDURE

LOCATION

ON THE

REPORT FORM

Fill out report form heading, including PRODUCT IDENTITY, BRAND,

LOT CODE. CONTAINER DESCRIPTION.

LABELED CONTENTS

UNIT OF MEASURE 0

Look up MAV in Table 2-8 (poge 41) 0

Convert MAV to DIMENSIONLESS UNITS by dividing 3 * 2 0

Determine inspection LOT SIZE (N) 0

Look, up sampling plan from Category A or B (page 20 or IQ)

Check whether A or B 6

Record SAMPLE SIZE (n) 0

Record TARE SAMPLE SIZE 0

Record

If DRY

ALLOWED

TARE, select

NUMBER

random

OF UNREASONABLE

sample from

ERRORS

inspection lot and random

0n

tare sample from unused tare stock.

Weigh tare units, record tare weights 0

If WET TARE, select random sample from inspection lot, and select

random tare sample from the random sample.

Gross weigh individual packages in tare sample, record 0

Empty tare sample packages, determine tare weights, record 0

If ALTERNATIVE TARE procedure is followed, check "alternative" 0

Look Up INITIAL TARE SAMPLE SIZE In Table 2-6 (p. 29), record 113
7 CATEGORY A OR B, STANDARD PACK BY WEIGHT

PROCEDURE

LOCATION

ON THE

REPORT FORH

Select initial tare sample from sample, determine gross weights 0

Determine tare weights 0

Calculate net weights tor initial, tare sample 0

Determine range of net weights (Rc) 0

Determine range of tare weights (Rt) 10

Determine Rc t Rt by dividing 9 t 10 11

Look up how many packages must be opened tor average tare (nt)

in Table 2-7. Record

Open additional packages for tare if necessary

12

Average tare weights and record 13

If moisture allowance is to be applied,

ur if foam aerosol or vacuum pack coffee being checked,

record TARE CORRECTION 0

Compute NOMINAL GROSS WEIGHT by adding: [T] +

[ 13] - 13a Record. 14

Compute PACKAGE ERRORS for packages opened for tare by subtracting:

| a ] - 14 Record 0

Compute PACKAGE ERRORS in DIMENSIONLESS UNITS by dividing:

0 ' 0 Kecord 0

Enter these package errors in cross hatched area of form

10

Compare unopened packages in sample with NOMINAL GROSS WEIGHT to

determine remaining package errors; record in cross hatched area \

^

Count number of minus package errors larger than MAV in 4 [Record. 1G
8

CATEGORY A OR B, STANDARD PACK BY WEIGHT

PROCEDURE

LOCATION

ON THE

REPORT FORM

If the number in

check YES: LOT FA

16 is larger than number in 8

ILS . No further testing is necessary. 17

If number in 16

check NO—CONTINL

is equal or less than number in 8

E. 17

Sum package errors, record TOTAL ERROR 15

Average package errors, record AVERAGE ERROR 18

Convert AVERAGE ERROR in D

by multiplying: 18 x

IMENSIONLESS UNITS to units of weight

2 19

If 10 is zero or plus, check YES GO TO 20 No further testing. 20

If 18 is minus: check NO 20

If CATEGORY B, check "Cat. B, Lot Fails". No further testing. 20

If CATEGORY A, check "Cat A, go Lo 21 ". Determine RANGES RANGES

Calculate AVERAGE RANGE, record 21

Use 6 to look up value in Table 2-3, column 2, (p. ZO), record 22

Calculate d by multiplying: 21 X 22 23

Calc

6

Ulc te (n/N x 100) by dividing and multiplying:

5 x 100 24

Use 2‘4 to look up f in Table 2-4 (page 21). 25

Calculate T by multiplying: 23 X 25 26

If 1 8 i s larger than 26 check YES LOT FAILS 27

If 18 is smaller than 26 check NO LOT PASSES 27

Record DISPOSITION OF LOT,

Check APPROVED only if [17

APPROVED or

] is NO AND

RE Jf 20ICTED

is YES

28
9

RANDOM PACK, CATEGORY B, DRY TARE

PROCEDURE

LOCATION

ON THE

REPORT FORM

Fill out report form heading, including:

LOT SIZE E

From LOT SIZE, look up in Table 2-5 (p. 19) : SAMPLE SIZE (n) and record 2

check CATEGORY B El|

Look up in Table 2-5 the TARE SAMPLE SIZE and record E

Look up in Table 2-5 the ALLOWED NUMBER OF UNREASONABLE ERRORS B

Record UNIT OF MEASURE and check whether "lb" or "oz" E

Check DRY TARE on right hand side of form TARE DRY

Select RANDOM SATPLE from INSPECTION LOT. Rearrange packages from lightest to heaviest.

Select RANDOM TARE SAMPLE from unused tare stock. Have at

least two complete tare units (boat, soaker, label, shrink wrap)

prepared for each boat size.

Compare two tare units to determine whether tare weights vary.

If tare weiqhts vary, record each tare weiaht on riaht hand

side of form

PACKAGE 1 TARE 1

Average tare weights

1B

If tare weiqhts do not vary, record "actual dry unit used" TARE 0 DRY

actual dry unit tart

Record PRODUCT DESCRIPTION, LOT CODE, UNIT PRICE

1E

Record LABELED WEIGHT for each package arranged from

lightest to heaviest

10

If tare weiqht.s do not vary, compare each unoDenod packaae with:

Actual dry tare unit + weights equal to LABELED WEIGHT of each

package.

Record package errors for each package

10
10

RANDOM PACK, CAT EGORY B, DRY TARE

PROCEDURE

LOCATION

ON THE

REPORT FORM

If dry tare weiahts vary, compare each unopened packaqe with:

Weights equal to: AVERAGE TARE + LABELED WEIGHT; by adding

6 [¥]

Record package errors for each package 9

Look up MAV in Table 2-8 (p. 41) for lightest package; record 10

Convert MAV to DIMENSIONLESS UNITS by dividing: 10 ,0 11

If any minus package errors are larger than MAV in

[77] look up MAV's for those package labeled weights. Record 10 & 11

Circle minus package errors in 9 that are larger than MAV in 11

Count circled package errors and record how many 0

If the number recorded in 13

check YES LOT FAILS

is more than zero

14

If the number recorded in 13 is zero, check NO CONTINUE 14

Sum the package errors. Record TOTAL ERROR 12

Calculate AVERAGE ERROR by dividing: 12 * 2 0

Convert AVERAGE ERROR in

by multiplying: IS x

DIM! 5ENSIONLESS UNITS to units of weight

16

If AVERAGE ERROR in 16 is zero or plus , check YES GO TO 18 17

If AVERAGE ERROR in 16 is minus , check NO LOT FAILS 17

Record DISPOSITION OF LOT, APPROVED or REJECTED

Check APPROVED if [u]is NO and 17 is YES ; REJECTED if 14 is

YES or 17 is NO.

18
11

PACKAGES LABELED BY LIQUID VOLUME

LOCATION LOCATION

PROCEDURE ON TIE ON THE

S1EP NUMBERS REFER TO WORKSHEET; BOXES TO REPORT FORM WORKSHEET REPORT FORM

Fil] out report form heading, including

PRODUCT IDENTITY, BRAND, LOT CODE,

CONIAINER DESCRIPTION, and

LABELED CONTENTS m

UNIT OF MEASURE a

Determine inspection LOT SIZE (N), Record E

Look up sampling plan Category A or B, Table

2-?(p,19) or Table 2-5(p.20); check A or B B

Record SAMPLE SIZE (n) E

Record TARE SAMPLE SIZE

Record ALLOWED NUMBER OF UNREASONABLE ERRORS B

Select sample and from it, tare sample.

Cross weigh first package in tare sample 1. Gross Weight

Select appropriate flask, wet it down. Record 6. Volune of Flask

Weigh empty flask; record weight 4. Flask Weight(empty)

Open first package, pour liquid into flask

Set liquid level to mark on flask neck

Weigh flask and liquid 3. Flask Weight(full)

Take liquid's temperature; record 7. Temp of Liquid

Empty remaining liquid from package, clean

container, weigh tare; record tare weight 2. Tare Weight
12

PACKAGES LABELED BY LIQUID VOLUME

PROCEDURE

LOCATION

ON THE

WORKSHEET

LOCATION

ON THE

RETORT FORM

Subtract empty flask weight from full flask

weight (Step 3 - Step 4 on worksheet) 5. Weight of Liquid

Repeat procedure from measuring the gross

weight through finding the weight of the

liquid for second package selected for

tare; record all measurements.

Steps 1. through 7. marked "(2nd Pkg)"

If the weights recorded in Step 5 do not vary

frcm each other, check NO Step 8.

If the weights recorded in Step 5 DO vary

frcm each other, look up how much they are allowed to vary in Table 4-3 (page 38).

If weights vary by more than Table 4-3,

check YES : ALL PACKAGES I1UST BE OPENED Step 8.

If weights vary by less than Table 4-3,

check NO and continue Step 8.

Average weights recorded in Step 5 Step 9.

Coirpute AVERAGE WEIGHT OF LABELED V0LUI1E

by the following arithtnetic:

[7

] x Step 9 -r Step 6 Step 10.

Determine AVERAGE TARE by averaging weights

recorded in Step 2 Step 12. 13

Determine NOMINAL GROSS WEIGHT by adding:

Step 12 + Step 10

Record Step 13. 14

Determine PACKAGE ERRORS for packages opened

for tare by subtracting:

Step 1 - Step 13 Step 14.
13

PACKAGES LABELED BY LIQUID VOLUME

PROCEDURE

LOCATION

ON THE

WORKSHEET

LOCATION

ON THE

REPORT FORM

Determine PACKAGE ERRORS for these

packages in D HENSIONLESS UNITS by dividing

Step 14 t 2

Record on worksheet and in crosshatched area

of report form. Step 15 \

Look up NAV in Table 2-9 (page 43). Step 16 3

Convert NAV in volume units to weight

by the following arithmetic:

Step 16 x Step 10 t

j~~1~| Step 17

Convert MAV to DIMENSIONLESS UNITS dividing

Step 17 t 2 Step 18

Coirpare unopened packages in sample with

NOMINAL GROSS WEIGHT, record PACKAGE ERRORS

in crosshatched area of report form \

Count number

than MAV in

of minus package errors larger

4 16

Continue filling out report form 17 and 18

Convert AVER^

by the follou

@ * 2

>100 ERROR to units of volume

jing arithmetic: x | 1 | t Item 10 Step 19 19

ConpLete report form to indicate

DISPOSITION OR LOT as APPROVED or REJECTED

20 through [?8| as applicable
14

PACKAGES LABELED BY COUNT

PROCEDURE

STEP NUMBERS REFER TO WORKSHEET; BOXES TO REPORT FORM

LOCATION

ON THE

WORKSHEET

LOCATION

ON THE

REPORT FORM

Fill out report form heading, including

PRODUCT IDENTITY, BRAND, LOT CODE,

CONTAINER DESCRIPTION, and

LABELED CONTENTS 0

UNIT OF MEASURE E

Determine inspection LOT SIZE (N), Record 5

Look up sampling plan Category A or B Table

2-2 (p. 20) or Table 2-5 (p. 19); check A or B 6

Record SAMPLE SIZE (n) E

Record TARE SAMPLE SIZE E

Record ALLOWED NUI BER OF UNREASONABLE ERRORS E

Select sample and from it, tare sample

Gross weight first package in tare sample 1. Gross Weight

Weigh empty container and record tare weight 2. Tare Weight

Open first package and count items in package 3. Count in Package

Weigh counted items in first package 4. Weight of Counted

Items

Calculate weight of labeled count by

the following arithmetic:

| 1| x step 4 t step 3

5. Weight of Labeled

Count

Repeat procedure, from measuring the gross

weight through calculating the weight of

the labeled count, for second package

selected for tare; record Steps 1. through 5.
15

PACKAGES LABELED BY COUNT

PROCEDURE

STEP NUMBERS REFER TO WORKSHEET; BOXES TO REPORT FORM

LOCATION

ON THE

WORKSHEET

LOCATION

ON THE

REPORT FORM

Look up MAV in Table 2-10 (p. 45); record Step 6. 3

Calculate MAV/6 by the following arithmetic

Step 6 x Step 4 -f 6 * Step 3 Step 7.

If the value in Step 7 is smaller than the

scale division, ALL PACKAGES MUST BE OPENED;

deck NO Step 8.

If the value in Step 7 is equal to or larger

than the scale division, check YES Step 8.

If the weights recorded in Step 5 do not vary

from each other, check NO; record weight from

Step 5 Step 9.

If the weights recorded in Step 5 DO vary

from each other, look up how much they are

allowed to vary in Table 4-3 (p. 38).

Step 9.

If weights. in Step 5 vary by more than Table

4-3, check YES; ALL PACKAGES MUST BE OPENED

If weights in Step 5 vary less than Table

4-3, check NO and average weights in Step 5. Step 9.

Determine AVERAGE TARE by averaging weights

recorded in Step 2 Step 10. 13

Determine NOMINAL GROSS WEIGHT by adding:

Step 10 + Step 9; record Step 11. 14

Determine PACKAGE ERRORS for packages opened

for tare by subtracting:

Step 1 - Step 1

1

Step 12.
16

PACKAGES LABELED BY COUNT

PROCEDURE

SfEP NUMBERS REFER TO WORKSHEET; BOXES TO REPORT FORM

LOCATION

ON TI E

WORKSHEET

LOCATION

ON THE

REPORT FORM

Determine Pi0

in DIMENSION

Step 12 -r

CKP

LES

2

GE ERRORS for these packages

S UNITS by dividing:

Step 12.

Record on worksheet and in crosshatched area

of report form. Step 13. \

Convert MAV in count to units of weight by

the following arithmetic:

Step 6 x Step 9 t

| 1 [ Step 14.

Convert MA

Step 14 -r

/ t

2

o DIMENSIONLESS UNITS dividing:

Step 15. 0

Coinpare unopened packages in sample with

NOMINAL GROSS WEIGHT record PACKAGE ERRORS

in crosshatched area of report form 0

Count number

than MAV in

of

0

minus package errors larger

0

Continue filling out report form fl7] and [Ts]

Convert AV

following

H ><

ERA! ari

2

3E ERROR back to count by the

Ihmetic: x [T] t Step 9 Step 16. 19

Complete report form to indicate

DISPOSITION OF LOT as APPROVED or REJECTED

20 through 28

as applicable
17

SECTION 2. SAMPLING PLANS

In this section tables from H-133 describe the various types of sampling

plans and associated look-up values. The tables are in the most likely

order of use:

o Sampling plans of Category B (Table 2-5)

o Sampling plans of Category A (Table 2-2)

o Values of 0.8598/Vn for sample size n (Table 2-3)

o Values of f for percent of lot sampled (Table 2-4)

o Calculation of the average range (Appendix H)

o Sampling plans for packages labeled by low count

(Table 5-1)

o Sampling plans for packages given tolerances (Table

5-2)
.
19

Table 2-5. Sampling plans of Category B.

1 Lot size2

Sample size

3

Tare sample sizea

4

(number of packages

in lot)

(number of packages

in sample)

(number of packages

chosen for

tare determination)

Number of minus

package errors allowed to ex- ceed the MAV b

N n n t Up to and

including 250 10 2 0

251 and greater 30 2 0

aSpecial rules for tare sampling apply when Section 2.11.4. is used (glass or aerosol packages).

bSee Tables 2-8 through 2-11 (pages B~9 to B-14), Sections 2.12. and 2.13.

B-5
20

Table 2“2. Sampling plans of Category A.

1 2 3 4 Lot size Sample size Tare sample sizea Number of minus

(number of packages (number of packages (number of packages package errors

in lot)

N

in sample)

n

chosen for tare

determination)

nt

allowed to exceed

the MAVb

30 or less all 2 0

31-800 30 2 1 801-2,000 50 5 2

2,001-5,000 80 5 3

5,001-15,000 125 5 5

15,001 and greater 200 10 7

aSpecial rules for tare sampling apply when Section 2.11.4. is followed (this

is the tare procedure for variable tare and must be used for glass or aerosol packages).

bSee Tables 2-8 through 2-11 (pages B~9 to B— 14), and Sections 2.12. and

2.13.

Table 2~3. Values of 0.8598 and 2 for sample size n. 7n 7£

1 2 3

n 0.8598 2

sample size /n 7n

used only when R used only when s is calculated is calculated

30 0.1570 0.3652

50 0.1216 0.2828

80 0.09613 0.2236

125 0.07691 0.1789

200 0.06080 0.1414

B-3
21

Table 2-M. Values of f for percent of lot sampled *

Percent of

lot sampled f

Percent of

lot sampled f

Percent of

lot sampled f

1 .99 36 .80 71 .54

2 .99 37 .79 72 .53

3 .98 38 .79 73 .52

4 .98 39 .78 74 .51

5 .97 40 .77 75 .50

6 .97 41 .77 76 .49

7 .96 42 .76 77 .48

8 .96 1 43 .75 78 .47

9 .95 1 44 .75 79 .46

10 .95

; 45 .74 80 .45

1

1

.94

| 46 .73 81 .44

12 .94 47 .73 82 .42

13 .93 ; 48 .72 83 .41

14 .93 49 .71 84 .40

15 .92

i 50 .71 85 .39

16 .92 51 .70 86 .37

17 .91 52 .69 87 .36

18 .91 53 .69 88 .35

19 .90 54 .68 89 .33

20 .89 55 .67 90 .32

21 .89 56 .66 91 .30

22 .88 57 .66 92 .28

23 .88 58 .65 93 .26

24 .87 59 .64 94 .24

25 .87 60 .63 95 .22

26 .86 61 .62 96 .20

27 .85 62 .62 97 .17

28 .85 63 .61 98 .14

29 .84 64 .60 99 .10

30 .84 65 .59 100 0

31 .83 66 .58

32 .82 67 .57

33 .82 68 .57

34 .81 69 .56

35 .81 70 .55

^Percent of lot sampled = sample size x 100 = £ x 100

lot size N

B-4
22

APPENDIX H. CALCULATION OF THE AVERAGE RANGE

To calculate the average range of package errors for groups of 5

packages:

1. Record the package errors in successive groups of five packages in

the order of weighing. (See Figure 2-5, page 2-19, and page A-l.)

For example, the following package errors were recorded on the

report form (only the first three columns are shown):

pkg. pkg. pkg. pkg. pkg. pkg.

number error number error number error

(1) +2 (6) -2 (11) +2

(2) +4 (7) -4 (12) -4

(3) +5 (8) -5 (13) +5

(4) +10 (9) -10 (14) +10

(5) +3 (10) -3 (15) -3

Calculate the range (R) of package errors for each group of five.

R does not have a sign.

The range is obtained as follows:

o If there are only plus errors in a group of five, subtract the

smallest plus error from the largest plus error. This is the range

(R) for the group.

For example for the first group of five packages:

+2

+4

+5

+ 10

+3

R = +10 - (+2) = 8

o If there are only minus errors in the group, subtract the largest

number with a minus sign from the smallest number with a minus

sign. This is the range (R) for the group.

For example for the second group of five packages:

-2

-4

-5

-10

-3

R = -2 - (-10) = 8

H-l
23

o If there are both plus and minus errors in the group of five, add

the largest error which has a plus sign to the largest error which

has a minus sign (but ignore the minus sign). This is the range

(R) of the group.

For example for the third group of five packages:

+2

-4

+5

+10

-3

R = +10 + 4 = 14

3. Calculate the sum of all R and note the number of groups. For

example, let us consider the previous three examples as one set of

sample data. For these examples the sum of R = 8 + 8 + 14 = 30

and the number of groups is 3.

4. Calculate the average R, called R, as follows:

r = sum of all R (step 3)

number of groups

In the example above, R = 3£ = 10

3

When calculating the range in net weights or range in tare weights for

the alternative tare procedure, the range is the difference between the

largest and smallest weights.

For example, the following tare weights are recorded:

0.201 lb

0.200 lb

0.204 lb

0.199 lb

0.201 lb

The range in tare weights is 0.204 lb - 0.199 lb = 0.005 lb.

H-2
24

Table 5~1 . Sampling plans for packages labeled by low count3

1 2 3

4

Lot size

(number of packages

in lot)

N

Sample size

(number of

packages in

sample)

n

Tare sample size

(number of packages

chosen for tare

determination)

n t

Number of packages

allowed to contain

fewer than the

labeled count.

Up to and including 500 10 2 1

501-5000 30 2 2

5001 and greater 50 5 3

a Labeled count is 50 or fewer units.

B-22
25

Table 5-2. Sampling plans for packages given tolerances.

1 2 3 4

Lot size Sample size Tare sample size Number of package

N n nt errors which may

exceed allowable

difference

Up to and including 500 10 2 0

501-5,000 30 2 1 5,0001 and over 50 5 2

B-23

27

SECTION 3. VARIABLE TARE

This section provides three tables needed to determine the average tare

of glass, aerosol, or other variable tare packages. (This procedure is called the "Alternative Tare Method" in H-133.) The tables:

o Specify the number of packages to open initially as a

function of the sampling plan category (A or B) and

lot size (Table 2-6. Initial tare sample size for

alternative procedure.)

o Specify the total number of packages for which tare

weights must be determined (to obtain an average

tare) as a function of the sample size and the value

of the ratio Rc/Rt (Table 2-7. Total number of

packages (nt) to be opened for tare determination.)

o Correct the tare weights of foam aerosol products

(Table 3-2. Test allowances for foam products.)

29

Table 2-6. Initial tare sample size for alternative tare

procedures.

Sampling plan Category Lot size Initial tare sample size

A all 5 packages

B equal to or less

than 250 packages

2 packages

greater than 250 5 packages

packages

B-6
Table

2~7-

Total

number

of

packages

(n^)

to

be

opened

for

tare

determination.

30

o

o

C\J

II c

in

c\j

ii c

o

CO

II c

o mo

C o Ol co c— m W ^ f f- i-l

4-> C

in «- n co o

(M cm «— o o

-U O 0 31 C OO S- C— VO iO

co in cm «“ o .sr m c\j «— o *** *-** c—

N a- MJN m OMD f-iO iO

cr* -a- o\ in o inmir?-?

«— oo in co cm O' CO S- VO lO

c— cm c— on oi

in in -=r -=r on

s m o co in on co m cm c\j

S- (\J co =r o in in -=r =r zr

co w o co in on on on c\j cm

mr-cccovo

CM CM »—»—»—

c— in cm o co on on on on cm m in on cm o CM CM CM CM CM

4- cm o oico t'-ioin-=ron

CM CM CM »— t- rin on cm cm O O CMD

a

E

cO

CO

COo

CO

CO

oc. o

COQ.o

0.

CD n

E

3c

o

in

ii c

4Jc O CUC3- O

in -=r -=r -=r .=r s- -=r co in on on on cm cm on <- oc s coCM CM r- t- «- in co cm >- o o o'Coco n c- sco co in

o

on

ii c

J-> c O CJC CO co -=r on Oil CM CM Oil on o'

CM CM «- =r on cm «— o O' CO CO SCO m io in in in =r m

4-> c 0000100 cossmin in in =r on on on on cm CM CM CM CM CM CM CM CM CM CM

O O O O O

CM O' cO CO O

O 4-> •H CC

4-> \

03 O

CC CC

o o o o

W 3" CO CO O

COW O O O «- CM J

o o o o o

CM 3 cO CO O

O O O o o

cm 3 m co o

o o o o o

CM 3 CO CO O

o o o o o

CM 3 lO CO o

CC I I I I o

CM CM 3 CO CO o o o o o

I I I I I

cm cm cm cm on

I I I I I

onononon-=r

i i i i i O CM 3 CO CO O CM 3 lO CO

CM CM CM CM CM O CM 3 co GO on on on on on

3 3 3 3 in

I I I I I r- r- CM r- O CM 3 lO CO

in in in in co

i i i i i

3 3 3 3

O CM 3 VO CO

in in in in in *

B-7

Including

those

already

opened

for

initial

tare

determination.
Table

2~7

(continued).

Total

number

of

packages

(n

t

)

to

be

opened

for

tare

determination.

31

o

o

CM

II c

UN

CM

o

co

II c

tp rHQ.e

cO<ncH

o

cn UN

<1) II CO c

o

m

Q.

tinO

i.

0) JO o

e CNN 3 II c c

4-> c

4-> c

4-> c

ON On C— VO vO on on N Nf-<-00 o o o o o o o o o o

CM CM O O ON ON On OO CO OO 0— O'— C— NO vo no vo in un UN IA UN UN IA LfN

co co n o- t~ vovovomin un un un un ia un un un urn un un un ixn un un UN

4-> C UN UN UN UN UN UN UN UN UN UN UN UN UN UN UN UN UN UN UN UN UN UN UN UN UN UN

4-> C

4-> c

moncnmon on on (M cm oo cmcmcmcmcm cm cm (m cm cm cm cm cm cm cm CM

CM CM CM CM CM CM CM CM CM CM CM CM CM CM CM CM CM CM CM CM CM CM CM CM CM

O O O O O

cm 43- vo oo o

O O O O O

CM =T VO oo O O O O O

CM 4T VO OO O O O O O

CM 43- VO CO O O O O OCM =r vO CO OCM

O 4_>

-r-t CC

4-> \

to o

CC CC

VO vO VO vO C~- C- C~- C— CO oo to oo CO O' O' O' O' O' c o o o o •—

I I I I I I I I I I I I I I I 1 I I I I I I I I I O CM 43- vo 00 vo vO vO vO vO O CM =r vo 00 c— c— c— c— C~- O CM 43- vo CO OO OO CO OO CO O CM 43- vo OO

ON O' ON O' ON O CM 3 VO CO O

o o o o o —

B-8

Including

those

already

opened

for

initial

tare

determination.
32

Table 3-2. Test allowances for foam aerosol products

Avoirdupois:

Labeled weight of package

Test allowance

Ounce Pound

0 to less than 1 1/2 oz 0 0

1 1/2 oz to less than 5 oz 1/16 0.004

5 oz to less than 8 oz 1/8 0.008

8 oz to less than 1

1

oz 3/16 0.012

11 oz to less than 14 oz 1/4 0.016

14 oz to less than 1 lb 1 oz 5/16 0.020

1 lb 1 oz or more 3/8 0.023

Metric:

Test allowance

Labeled weight of package

Grams

0 to less than 50 g 0

50 g to less than 100 g 1 100 g to less than 200 g 3 200 g to less than 300 g 5 300 g to less than 400 g 7 400 g to less than 500 g 9 Over 500 g 10

B-17
33

SECTION 4. WEIGHING RULES

This section contains reference tables for:

o Determining the maximum size of the unit of

measure to record package errors for packages

labeled by weight. This table also guides the

inspector in the selection of appropriate weighing

equipment. (Table 3-1.)

o Selecting the capacity of scale to be used when

weighing liquids (Table 4-1.)

o Determining the maximum size of the unit of

measure used to record package errors when weighing

packages labeled by liquid volume (Table 4-2.)

o Determining whether the variation in the weights of

equal amounts of product from two different

packages not labeled by weight is too large to permit

package error determination by weighing. (Table

4-3.)

Table

3-1.

Recommended

maximum

size

of

scale

division

on

the

scale

used

in

checking

package

weights.

35

>>

L.O

bO

CD .P

03O

s:-P

CO

CDbO

03O

03Q.

bOC

•iH s:bO

CD2

S-o

>»

t-03CO

CO

CDo

CDc

CD X)

CDOc

03 H

03 JD

>»O

03

t-DOO

03 SI

tc

t-CD SI

03O

.P>» H

03C

03C<

03

B-l 6

The

equal-arm

package

scale

must

be

used

as

null-indicator

for

packages

labeled

from

1.92

to

5.4H

or

82

to

250 g

to

eliminate

effects

of

possible

tower

errors.
36

Table 4-1 . Weighing devices appropriate to use to check common

consumer products labeled by liquid volume.

Labeled volume

( inch-pound)

Device Labeled volume

(metric)

Up to and including

4.25 fl oz analytical or other

high accuracy balance

Up to and including

126 mL

Greater than 4.25 fl oz

to and including 32 fl oz small capacity

equal-arm scale

or equivalent

Greater than 126 mL

to and including 1 L

Greater than 32 fl oz

to and including 3 gal

large capacity

equal -arm scale

or equivalent

Greater than 1 L to and including 12 L

Greater than 3 gal commercial scale and

substitution weighing

Greater than 12 L

B-18
37

Table *1-2. Recommended maximum size of scale division on the scale

to be used in checking weights of packaged goods labeled

by liquid volume.

Inch-Pound Metric

Labeled volume Scale division Labeled volume

Scale

division

(oz avoir) (lb) (g)

Up to and including 4.25 fl oz a a Up to and including 3 mL o o

Greater than 3 mL

to and including 126 mL 0.1 a

Greater than 4.25 fl oz

to and including 17.00 fl oz 1/32 b 0.002b

Greater than 1 26 mL

to and including 503 mL 1 .0 b

Greater than 17.00 fl oz

to and including 55.00 fl oz 1/16 0.004

Greater than 503 mL

i to and including 2.041 L 2.0

Greater than 55.00 fl oz

to and including 1.25 gal 1/8 0.01

Greater than 2.041 L

j to and including 5.489 L 5.0

Greater than 1.25 gal

to and including 1.875 gal 1/4 0.02

Greater than 5.489 L to and including 37.5 L 10.0

Greater than 1 .875 gal

to and including 4.375 gal 1/2

Greater than 4.375 gal

to and including 9 gal 1 0.05

Greater than 9 gal

to and including 18 gal 2 0.1

aUse analytical or other high accuracy balance.

bUse package checking scale as null indicator.

B-19
38

Table 4-3. Maximum permitted difference In weights of two equal

quantities according to the type of scale used to weigh.

Type of Scale Pounds Grams

Analytical or other high accuracy balance 0.0001 0.05

Small capacity equal-arm scale

or equivalent

0.002 1 .0

Large capacity equal-arm scale

or equivalent

0.004 2.0

Commercial scale up to and including

30 lb (14 kg) 0.01 5.0

Commercial scale above 30 lb (14 kg)

up to and including 100 lb

0.02 9.0

B-20
SECTION 5. MAY’S

In this section, tables list the limits of unreasonable minus package errors (MAV's) for application to individual packages according to their labeled

net quantity statements:

o Weight (Table 2-8.)

o Volume (Table 2-9.)

o Count (Table 2-10.)

o Length or Area (Table 2-11.)

o U.S.D.A. Lower Limits for Individual Packages

41

Table 2-8. MAV’s for an individual package labeled by weight3 .

Avoirdupois units Metric units

Labeled weight MAV Labeled weight MAV

Pounds or ounces Decimal

pounds

Fractional ounces Grams Grams

up to and including

0.08 lb

up to and including

1 .28 oz

10% of

labeled weight

up to and including

36

10% of

labeled

weight

0.08+ b to c 0.12 lb

1 .28+ to 1 .92 oz 0.008 1/8 36+ to 54 4

0.12+ to 0.18 lb

1 .92+ to 2.88 oz 0.012 3/16 54+ to 82 5

0.18+ to 0.26 lb

2.88+ to 4.16 oz 0.016 1/4 82+ to 118 7

0.26+ to 0.34 lb

4.16+ to 5.44 oz 0.020 5/16 118+ to 154 9

0.34+ to 0.46 lb

5.44+ to 7.36 oz 0.024 3/8 154+ to 209 1

1

0.46+ to 0.58 lb

7 .36+ to 9.28 oz 0.028 7/16 209+ to 263 13

0.58+ to 0.70 lb

9.28+ to 1 1 .20 oz 0.032 1/2 263+ to 318 15

0.70+ to 0.84 lb

11.20+ to 13.44 oz 0.036 9/16 318+ to 381 16

0.84+ to 0.94 lb

13.44+ to 15.04 oz 0.040 5/8 381+ to 426 18

0.94+ to 1 .08 lb

15.04+ to 17.28 oz 0.044 11/16 426+ to 490 20

1 .08+ to 1 .26 lb 0.048 3/4 490+ to 572 22

1 .26+ to 1 .40 lb 0.052 13/16 572+ to 635 24

1 .40+ to 1 .54 lb 0.056 7/8 635+ to 698 25

1 .54+ to 1 .70 lb 0.060 15/16 698+ to 771 27

aApplies only to shortages in package weight (that is, the MAV is

compared with minus package errors only)

b0.08+ means "greater than 0.08"

c "to" means "to and including"

B-9
42

Table 2-8. (continued) MAY * s fop an Individual package labeled by weight*

Avoirdupois units Metric units

Labeled weight MAY Labeled welcht. MAV

Decimal Fractional Grams or Pounds pounds ounces kilograms Grams

1 .70+ to 1 .88 0.064 1 771+ to 852 29

1 .88+ to 2.14 0.070 1 1/8 852+ to 971 32

2.14+ to 2.48 0.078 1 1/4 971+ to 1.125 35 2.48+ to 2.76 0.086 1 3/8 1 .125+ to 1 .350 40 2.76+ to 3.20 0.094 1 1/2 1 .350+ to 1 .600 45 3.20+ to 3.90 0.11 1 3/4 1.600+ to 1 .800 50

3.90+ to 4.70 0.12 2 1 .800+ to 2.100 55

4.70+ to 5.80 0.14 2 1/4 2.100+ to 2.640 65

5.80+ to 6.80 0.15 2 1/2 2.640+ to 3.080 70

6.80+ to 7.90 0.17 2 3/4 3.080+ to 3-800 80

7.90+ to 9.40 0.19 3 3.800+ to 4.400 85

9.40+ to 11 .70 0.22 3 1/2 4.400+ to 5.200 100

11.70+ to 14.30 0.25 4 5.200+ to 6.800 115

14.30+ to 17.70 0.28 4 1/2 6.800+ to 8720 130

17.70+ to 23.20 0.31 5 8.20+ to 10.60 145

23.20+ to 31 .60 0.37 6 10.60+ to 14.30 170

31 .60+ to 42.40 0.44 7 14.30+ to 19.25 200

42.40+ to 54.40 0.50 8 19.25+ to 24.70 230

54.40+ 2% of labeled 24.70+ 2 % of labeled

weight weight

B-10
Table

2~9.

MAV's

for

an

Individual

package

labeled

by

volume

-

liquid

or

43

%

B-ll

a

Applies

to

shortages

in

package

volume

(that

is,

minus

package

errors).

b

Co

nvert

to

metric

units

and

use

laboratory

glassware.

c

Use

laboratory

glassware.

b

0.50»

means

"greater

than

0.50."

e

"to"

means

"to

and

Including."
Table

2~9

(continued).

HAV'a

for

an

individual

package

labeled

by

volume -

liquid

or

dry.

44

Liquid

and

dry

(HAV)

(ml.) 26 a fn

s*

xr 52 59 <bt 89

«•o 118 133 00

S' 177 t—8

237 266

u0

labeled 1

volume o J c •^4 J .4 .4 j .4 J _3 on ON S'

J- 4-> on on cv vo CM in on

4J =•4 in JT vO CM ON 03 S' in in ON vo c*» 3

03 4-3

J V— CM ST on CO Cv S' • O c s c E • VO o in o S' o o • 4— vO CO on vO j fl3 • • • • • • • • o r— CM CM CM 3 0- CM CM on s' in C*— 00 S' S' 3

O* o o o o o O on • O

ON XJO o O o O o o o o 4-) 4-> 4J 4-> mJ o

•O 4-> 4-> 4-> 4-> 4J 4-3 4J 4J

O in co 0 O J + + 4* 4* 4- vO — (M

f-H 4-> E 4- 4- 4« 4* + 4- 4» 4- + on on ?=» 0^ ON CM CM V0) on C

*— 43- vO CM Ov co ZT ON vO nj in r— .O 4- 4* in CM s* *— s' m CO Ov S' r— in in ON vO £. n

03 CO C*- *— vO

O in

O 0- S'

O

O • 03 0 ON «— o vo CO on > xJ

c**~ ON *” CM CMm s* in 0- CO V— CM o c 03 xJ

0) JZ

03 CO s 03 3 3 3 > cq a C

>* > —*

oo o vO V—

O 3 r— »—

L. <C in CO Ovl C- CM vO in J—•

on CM o co vo S' CM 4_ > cr

Q Z 3 o CxJ 'wo' »“ 5— CM CM m on s* in vo e— CO ON o CM S' VO o V— r— V— 03 03 c c

03 3 A cn 3 3

03 03 o o H 03 2: in in

CM CM c c C C c c C c c c c c >. — vO

—H •—> •~4 •««-» •<-4 <*=t f-l —4 4—1 c t. on o >» «»-4 c c c a o o XJ 3 3 3 3 3 3 3 3 3 3 3 3 eH o CM

*4

O o O

OO

OO C3

O C3

O C3 3 VO • XJ o 3 3 3 • 0- c in CO VO in S' ON co O O' CO S' O O o c on vo

03 on on CM • • • • • • r— on 3 • • • S' on in co in m O o f— in S' f— 0 O* in o ON CM in CO CO m on Ov CM o o in on 3 n LO c*- on r— v— CM on VO c- r— *— S' vo C3 4J c 4J> 0.

03 o o o o o o o o o o o o o t— C 03 rH 4-) 4-> 4-) 4-> XJ 4-) 4-> XJ 4J 4J 4J 4J> 4J o o o on 3

03 4J 4-> xJ vo a. a A + 4- + + • + 4* + 4- 4- 4- 4- •f r—

CO on in CO o in S' ON CO o cn CO 3T 4- + 4> >. >*

c*~ o m CM in S- S- 0. • • • • m in co in on O o V— in 03 C £3 CO in o Ov CM in co co on on OV CM o o T— >

in r- Cv CM on ~ vO o

03K

*a 3 c3 T3 CM O o —4 > O 4-. >

a. 3 «£ CO o in

O in o i o-s: h CO o CM in o in O in O in O o o o o O -C

sz • Vi. 03 o o o r— r- CM CM on on S' in vO CO ON r— |“H c 03 3

HH jO E

03

r—4 s.

03

..

t—4 c

03 o

00 oM

XJ in c.

>> CM 03 XJ • o

•^4 t

r—

X

4-> • CM 03 c CM N CM N O

<0

OOO

O o CM t- 3 1—4 o CM N o

cr t—4 i—4 i—4 r—4 4-. o O 4_

4_ 4- 4- t—4

N CM CM

N

N CM *o O 4- f—4 O o o O O O o on

03 o O o o o o 4- 4- »“

<-H o O o o *;

O • o r—4 t—4 ^4 >—4

r—4 r—4 CM i 03 • • • • on vO vO o 4_ 4_ <u O CJ n «— ON in ON in O • S'

03 on on in VO CO in OvJ 00 S' OJ o o o s* t—4 c J o co 0- — ON vo S' o O 4- o O o o o o O 4-> <

o CM on on in vO CO ON

4-> 4-) XJ 4-> 4-> 4-J 4-> S'

4- o o O

O o 0 o o O o

4* 4- + 4- - 4- 4»

O 4-> 4* 4-) 4-> 4-> 4_> 4-J 4-> 4-> ON 03 o o o o o o o VO cn o o o o o o • 4* • 4- + 4* 4* 4» 4» 4« c~ • • • • • • on o in o CM S' CM o o o 0) 03 e*- T— cr. in ON in O vO CO S' 0- S' ON vO S' o > 03

<\J on on in vO 00 CM OsJ on on in vO CO o CO

B-12.
Table

2-9.

MAV’s

for

an

individual

package

labeled

by

volume

-

liquid

or

43

%

B-ll

a

Applie3

to

shortages

in

package

volume

(that

is,

minus

package

errors).

b

Co

nvert

to

metric

units

and

use

laboratory

glassware.

c

Use

laboratory

glassware.

d

0.5O

means

"greater

than

0.50."

e

"to"

means

"to

and

including."
Table

2~9

(continued).

MAV*3

for

an

Individual

package

labeled

by

volume -

liquid

or

dry

44

Liquid

and

dry

(MAV)

(ml.) 26

O

nn 37 a•=r 52 59 a

CON

ao

a*O

CO

133 s 177 207 237 266

n

of

labeled volume o % c •H J j j _3 J •J cn X— ON —

L. 4-J co cn ON vO CM in cn

4-JH in f— a vO CM ON CO ZT in in ON vo 3

<v 4-) -J V— CM a a cn co ON a • c c X

<0c e • vO• O• in• O• C-• a*• O• O• • V— vO ao cn vO

J

O v—» CM CM CM

13 c— CM CM on a* in C- CO 4— a 3 O* ’

0 O 0 O O O cn • O

ov 4-> 0 0 O 0 O 0 0 O 0 4-> 4-J 4-J 4-J 4-J

O *o 4J 4J 4-) 4-) 4-J 4-J 4-J 4J 4-J in co

0) 0 J 4* 4» + + 4- vO

— CM

r-» 4-> e + 4- 4- •V 4* + cn cn C— O' CM CM C*—

03 cn C- *— a vO CM Ov CO

— ov vO CM in

O in CM a* on ao Ov a in in O' vO &. D

cn co c- *— vO

O inO c— a O

O • <D -J ON *- 0 vO CO cn > 4-J

c**- ON T_ *“ CM CM on a" in f— co •— CM 0 c 0) 4-J 0) JZ c—

CJ ^4 cn E <T3 3 3 3 > cn 0

>» > CO

O vO V—

O 3 •7— »—

t- <2: in CO CM CM vO in on CM 0 CO vO a CM

U > OI

Q

X 3 O CxJ O *— *— CM CM cn on a- in vo C- co Ov O CM a vO •o *— Ir?. O <U c c

tO 3 O cn 3 3

cn cn

OO

(—t <u 2: in in

CM CM c c c C c c c c c C c c >4 «— vO

•*-4 •H —4 *H --4 —4 —4 —4 --4 c s. cn 0 —4 c C C 0 O 0 3 3 3 3 3 3 3 3 3 3 3 3 -H —4 --4 0 CM

—1 0 O

O

OO 0 O 0 0 O

OO 3 VO • O 3 3 3 c in co vO in a ON CO 0 O' 00 a O O O c cn vo

CO ON cn CM cn • • • a on in CO in cn O 0 c— V— in a a in 0 ON CM in CO CO cn cn OV CM O 0 in cn 3 11 in c*- ON »— v— CM on a* VO C*- a vo 0 4-J *C 4-J C03 0 O O O O 0 0 O 0 0 0 0 0 c q rH 4-> 4-1 4-J 4-> 4-J 4-J 4-J 4J 4-J 4-J 4J 4J O 0 0 cn

03 4-J 4-J 4-> vo a. Cr O 4- 4* 4- • 4. + 4- + 4* 4- 4- 4. CO m in CO vO in a ON ao O ON CO a 4- <4 + >, t- CN cn CM in 1. t- 5- • • • • a ON in ao in cn O 0 »— in 0 C3 C CO in 0 ov CM in ao co cn cn ON CM 0 O >

in ON CM cn ~ “* vO 0

a;E a 3 c3 *0 tO O o > O C- >

a. 3 <C CO 0 in

O in

O i err H CO 0 CM in c— 0 in O in O in O 0 O 0 O -O SI

JZ -4 ^4 • V4-

O

O o -J ^ 0 V— *—»

*— CM CM cn cn a in vO r- ao ON r— 1—4 1—4 c <U 3

HH

O E

cn rH

tcn 0„

rH c

03 0

ao —4

4-J in c.

>> CM <D

4-) • O

•-4 r—

X

4-J to 0J c tO tO tO tO to 0

(0

O 0 O

O 0 to t- 3 1—4 0 to N 0

CP r—1

*—i

<—4 rH 4_

OO <—

4-, 4- rH to to to to to to to •a O 4- <—4 0 0 0 0 0 0 0 cn

<u

OO

OOOO <u »—

rH

O

O

O

O

O • O •—i 1—4 r—1

to 1 a; • • • • • on vO vO 0 <u <u <1- <+4 0 Cj n T— ON in ON in O • a

COmm in VO co in CM CM a CM 0 0 O a *“4 c O ao t— ^7“ Ov vO a O O 0 0 O 0 0 0 O 4_> O CM cn cn in vO CO ON

4-> .u 4-) 4-J 4-) 4—1 4-> a

4- 0 0 O

O 0 O

OOO 0

4- 4* + 4- 4- 4-

O 4-1 4- 4-J 4-J 4-J 4_> 4-1 4-1 4-> ON <D

O

O 0 OO

OO vO co

OO 0 OOO • 4- • 4- 4* 4- 4* 4- 4* 4- L. • • • • • • on 0 in O CM ZT CM O O O <D 0

T— ON in ON in

O VO CO a C- a OV vO a O > cu

OvJ

m cn in vO ao * CM CM on cn in vO CO

O co

B-1Z
45

Table 2-10. MAV*s for an individual package labeled by count3 .

Labeled count MAV

up to and including

1

7

b 0

l8-50b 1

51-83 2

84-116 3

117-150 4

151-200 5

201-240 6

241-290 7

291-345 8

346-400 9

401-465 10

466-540 1

1

541-625 12

626-725 13

726-815 14

816-900 15

901-990 16

! 991-1075 17

1076-1165 18

1166-1250 19

1251-1333 20

1334 and over 1.5? of labeled count rounded off

to the nearest whole number

a Applies only to shortages in package count (that is, minus package error:;').

bSee Section 5.2. for sampling plans to be used with these package sizes.

B-13
46

CO

£-O

L.

S-C0

CObO

coo

cG(X

CO3CP

CO £P

d)

i.3

CO

CO

Cl) E

Cl) bo

CO Xo

COac

•<H

CO

0)bO *—

CO P C

C- cO o .cp

CO i. o CO p P

cO >> a> rH x c bO o

CO CO c

CO CO

•rH CO rH s a

a. + < rcO jO

bOC

•o3

•oc

(0op

(0c

CO

0)Esopso

CD

0) CO

B-14

Section

2.13.

for

exceptions:

textiles,

polyethylene

sheeting.
47

Table 2-12. U.S. Department of Agriculture, Meat and Poultry,

Groups and Lower Limits for individual packages*

Definition of

Group (numbers are labeled weight in ounces)

Group

Name

Homogeneous,

Fluid When Filled

All Other

Products

Lower Limit for

Individual Weights

A less than 3 10 % of labeled weight

1 3-16 7.1 g

0.25 oz 8/32 oz 4/16 oz 2/10 oz

2/8 oz

1/4 oz

2 over 16 3-7 14.2 g

0.50 oz 16/32 oz

8/ 1 6 oz 5/10 oz

4/8 oz

2/4 oz

3 - over 7

to 48

28.3 g

1 oz

4 over 48

to 1 60

42.5 g

1.50 oz

1 16/32 oz

1 8/16 oz

1 5/10 oz

1 4/8 oz

1 2/4 oz

5 1 over 160 2 oz

1/4 lb

*See also Appendix J.

B-15

49

SECTION 6. REPORT FORMS AND WORKSHEETS

This section contains:

o A table referring to locations on the report form and

where to obtain further information in H-133.

o Standard Pack Report Form

o Standard Pack Report Form - Weight Only

o Random Pack Report Form

o Worksheet for Packages Labeled by Liquid Volume

o Worksheet for Packages Labeled by Count

o Worksheet for Checking Paint

o Table 4-4. Thickness of Paint Can Walls and labels

o Worksheet for Checking Polyethylene Sheeting

51

Table 2-1, Guide to locations on the report form for

standard pack packages on page 55

Box Subject Section

Handbook 133

Page

1 Labeled Contents 2.2.1 . 2-2

2 Unit of Measure 2.9.1

.

2-16

3 Maximum Allowable Variation (MAV) 2.12. 2-27 & B-9

to B-15

4 MAV (dimensionless units) 2.9.1 . 2-16

5 Lot Size (N

)

2.3.3 2-8

6 Sample Size (n) 2.6., 2.7. 2-9, 2-14

7 Tare Sample Size (n t ) 2.6., 2.7. , 2.11 .4. 2-9, 2-14,

2-23

8 Allowed Number of Unreasonable Errors 2.6.1 ., 2.7.1

.

2-10, 2-14

9 Range of Met Weights (R c ) 2.11.4. 2-25

10 Range of Tare Weights (R t ) 2.11.4. 2-25

1

1

R

c + R

t 2.11 .4. 2-25

12 n t from Table 2-7 2.11.4. 2-25

13 Average Tare 2.11., 2.11 .3.,

2.11.4

2-20, 2

- 23 , 2-26

13a Tare Correction moisture 2.14.,

foam 3.11.6.,

vacuum pack 3.15.

2-

29

3-

37

3-42

14 Nominal Gross Weight 3.5. 3"7

15 Total Package Error 2.9.3. 2-18

16 Actual Number of Unreasonable Errors 2.6.1 ., 2.7.1 2-10. 2-14

17 Decision on Unreasonables 2.6.1 . , 2.7.1

.

OvJ 1 O

C\J 1

18 Average Error (dimensionless units) 2.6.2., 2.7.2. 2-11, 2-15

19 Average Error (labeled units) 2.6.2., 2.7.2. 2-11, 2-15

20 Decision on Average 2.6.2., 2.7.2. 2-11, 2-15

21 Average Range 2.6.2., Appendix H 2-11, H-1

22 Value from Table 2-3, column 2 2.6.2. 2-12

23 d 2.6.2. 2-12

24 (n/N) x 100 2.6.2. 2-13

25 f 2.6.2. 2-13, B-4

26 T 2.6.2. 2-13

27 Decision on Average (for Cat. A only) 2.6.2. 2-1 4 28 Disposition of Lot Summary of boxes

17, 20, 27

2-4

B-2

DATE STANDARD PACK REPORT FORM REPORT NUMBER

Location of TEST (Name, Address) Retailer Wholesaler

Packager

PRODUCT IDENTITY BRAND LOT CODE(S) CONTAINER DESCRIPTION

jJ LABELED CONTENTS _2j UNIT OF MEASURED lb. oz.

3 | MAV (same

units as label) See

Worksheet

4 | MAV (dimensionless

units) See

Worksheet

I 6 | SAMPLE SIZE (n) O A (p 20) O B (p. 19) CHTARE SAMPLE

SIZE

Alternative

<P 29) 0Allowed Number UNREASONABLE

ERRORS

This report form is designed for standard packages not labeled by weight: for example, liquid volume,

count, area, etc.

Fill out report form heading, boxes [T] & [T], and boxes | 5 | through 8 .

Go to appropriate worksheets, follow directions on the worksheet, recording data on the report form as directed by the worksheet.

1 9 | R^ (See Worksheet) 10 1 RT (See Worksheet) nj Rc + Rr 12 | n, (Table 2-7 13 1 AVERAGE TARE 14

1 NOMINAL GROSS

Range of Net Weights Range of Tare Weights 0, 0 =

p 30&31) See

Worksheet

WEIGHT

See

Worksheet

PACKAGE ERRORS

Comments: 28 | DISPOSITION OF LOTAPPROVED

REJECTED

Acknowledged Receipt of Report Official

55

DATE STANDARD PACK REPORT FORM

WEIGHT ONLY

REPORT NUMBER

Location of TEST (Name, Address) Retailer Wholesaler Packager

PRODUCT IDENTITY BRAND LOT CODE(S) CONTAINER DESCRIPTION

1

I LABELED WEIGHT jJ UNIT OF MEASURE

lb O 02

3 | MAV Table 2-8

p. 41 & 42

4 | MAV (dimensionless

units) 0+ 0=

| 5 | LOT SIZE (N)

| 6 | SAMPLE SIZE (n) A (p 20) B (p. 19)

bl TARE WEIGHT IT

GROSS

WEIGHT

NET WEIGHT 0TARE SAMPLE

SIZE

Alternative

(P 29)

d

| PACKAGE

ERROR 0-0

08 | Allowed Number UNREASONABLE

ERRORS —e I PACKAGE

1 ERROR

(dimensionless

units) ^[7]

| 9| Rc

(see (~c~| ) Range ot Net Weights

10|rt (see [b~|) Range of TARE

Weights

H | Rc

-a. Rt = 0+ 0=

12

J n, (Table 2-7, 13 1 AVERAGE TARE 13a TARE CORRECTION

dry Moisture

p. 30 & 31) wet O Foam (p. 32)

alternative Vacuum Pack

WEIGHT +0-

PACKAGE ERRORS

TOTALS

f-) (0/ + )

Comments: 28 1 DISPOSITION OF LOT APPROVED

REJECTED

Acknowledged Receipt of Report Official

57

Acknowledged Receipt of Report Official
58

RANDOM PACK REPORT FORM

Page 2 of 2

REPORT NUMBER

ALTERNATIVE TARE CALCULATIONS:

1 31 GROSS WEIGHT

| b | TARE WEIGHT 6b| Rt =

| c| NET WEIGHT 6aj RC =

| d | PACKAGE ERROR "@-0

6cj Rc h- Rt = 0+ 0

| e | PACKAGE ERROR

(In scale dlv) 0-0

6dj n, (Table 2-7 p. 30)

Additional Tare weights:

GROSS WT 6eJ AVERAGE — TARE

tare WT

0

i

i

i GROUP I

1

2

3

4

5

6

7

8

9

10 0" AVERAGE

R

R

LOT DISPOSITION CATEGORY A

NOTE: PACKAGES SHOULD NOT BE ARRANGED FROM LIGHTEST TO HEAVIEST WHEN FOLLOWING A

ON PAGE 1, THE NUMBER OF MINUS PACKAGE ERRORS

EXCEEDING THE MAV

IS RECORDED IN BOX fTT| BOX [71 CONTAINS THE

1—1 ALLOWED NUMBER.

IS 1 1 3 | Greater than

| 4 | ? YES-*-LOT FAILS. RECORD

DISPOSITION IN BOX Qej PAGE 1 NO -GO TO [20]

RANGE OF PACKAGE

ERRORS FOR EACH GROUP OF 5 PACKAGES

SUM OF -A- NO OF GROUPS

R

" 20

[ AVERAGt

ERROR

(Scale dlv)

TOTAL . NO. OF ERROR PACKAGES

CD + CD

Til AVERAGE

ERROR

In units of weight

AVERAGE UNIT OF ERROR X MEASURE

In no. of scale dlv. [0 X 0

jgj IS [20] MINUS? IJ NO - RECORD DISPOSITION IN BOX Qa] , PAGE 1 mrES^GOToJI^

_£5j TABLE 2-3

Col. 2 value (page 20)

££j Use[~27]to~

24 x 25 ili (n/N)x100 =

([T]-t-[T])xioo =

£9j T = 26 x 28

look up t in Table 2-4 (page 21) f »

DISREGARDING THE SIGNS,

IS [20I larger than [29] ?

I.'! YES-*- LOT FAILS

r I NO-*- RECORD DISPOSITION IN BOX [Ti] . PAGE 1

Record final lot disposition on page 1 in box 1 18 |
59

WORKSHEET FOR PACKAGES LABELED BY LIQUID VOLUME

NUMBERS WITH BOXES (eg. [3] ) REFER TO REPORT FORM (page 53) STEP NUMBERS (e g. STEP 5) REFER TO WORKSHEET

Fill out report form up through box [IT] , skip boxes QT) and [T]

(1st Pkg) (2nd Pkg) (3rd) (4th) (5th)

8. Do the weights recorded in Step 5 differ from each other by more than the value in Table 4-3 (page 38)?

YES I I If this box is checked, open all packages in sample and determine each package error by volume (see Section 4.6.). NO I I If this box is checked, continue below.

9. AVERAGE WEIGHT OF LIQUID IN FLASK = AVERAGE OF STEP 5 =

10. AVERAGE WEIGHT

OF LABELED VOLUME

LABELED VOLUME

FLASK VOLUME

x AVG. WEIGHT OF l IQUID IN FLASK

box 0

Step 6 x Step 9 =

*11. (R C

/R T = (n,=. See Table 2-7 (pages 30 8 31)

12. AVERAGE TARE = AVERAGE OF STEP 2 (or average of Step 2 and additional tares)*

Record in box [13] on report form

•Alternative Tare procedure for liquids packed in glass.

tlf additional packages are opened for tare, provision should be made for recording all pertinent data
60

13. NOMINAL GROSS WEIGHT AVERAGE + AVERAGE WEIGHT

TARE OF LABELED VOLUME

= Step 12 + Step 10

Record in box [TT] on report form

14. For packages opened for Tare:

PACKAGE ERROR = GROSS WEIGHT - NOMINAL GROSS WEIGHT

(weight)

Step 1 - Step 13

1 2 3 4 5

15. PACKAGE ERROR = PACKAGE ERROR -i- UNIT OF MEASURE

(dimensionless units) (weight)

= Step 14 box

[2]

1 2 3 4 5

Record package errors on report form in crosshatched area.

16. MAV

(volume) from Table 2-9 =

(pages 43 & 44) Record In box [T] on report form.

17. MAV

(weight) MAV x AVERAGE WEIGHT OF LABELED VOLUME

<volume> LABELED VOLUME

= Step 16 x

Step 10 box [7]

18. MAV

(dimensionless

units)

MAV + UNIT OF MEASURE

(weight)

Step 17 + box QF] Record In box [T] on report form

19. Compare unopened packages with nominal gross weight (Step 13, box [T4~| ).

Record package errors for remaining packages In sample directly on report form In crosshatched area. Compare minus package errors with MAV (Step 18, box |~4~|

).

Average package errors (box [is] ). Convert back to units of volume as given below:

AVERAGE PACKAGE ERROR _ AVG. PACKAGE ERROR x UNIT OF .. LABELED VOLUME

(volume) (dimensionless units) MEASURE AVG. WEIGHT OF

LABELED VOLUME

= box [Tb] x box [T] box (T]

Step 10

Record in box (T9] on report form

(Boxes above with "3". "4", "5" in corners are for larger tare sample sizes.)
61

WORKSHEET FOR PACKAGES LABELED BY COUNT

NUMBERS WITH BOXES (eg [3] ) REFER TO REPORT FORM (page 53) STEP NUMBERS (eg "Step 5") REFER TO WORKSHEET

Fill out report form through box [IT] , skip boxes (jT] and [Tj

(1st Pkg) (2nd Pkg) (3rd) (4th) (5th)

1 . Gross Weight

2. Tare Weight

3.

Count in Each

Package

4. Weight of Counted

Items

5. Weight of Labeled Count

Count X

Step 3

6. MAV from Table 2-10 _

(count) (page 45)

7. MAV/6

(weight)

MAV/6 x

(count) WEIGHT OF COUNTED ITEMS

COUNT IN PACKAGE

=

Step 6

6

Step 4 (for first package)

Step 3 (for first package)

Record in box [3] on the report form

8. If using an equal-arm package checking scale, is value calculated in Step 7 equal to or larger than Vi the smallest graduation?

If using an electronic package checking scale , is value calculated in Step 7 at least as large as the smallest increment?

NO If this box is checked, open all packages in sample and determine each

package error by actually counting the items inside the packages.

YES If this box is checked, continue below.

9. Do the weights recorded in Step 5 above differ from each other by more than the value in Table 4-3 (page 38)?

YES If this box is checked, open all packages in sample and determine each

package error by counting items inside packages.

NO Average Weight of Labeled Count = average of Step 5 =

10. AVERAGE TARE = AVERAGE OF STEP 2 Record In box 0on report lorm

11. NOMINAL GROSS WEIGHT AVERAGE

TARE

+ AVERAGE WEIGHT

OF LABELED COUNT

Step 10 + Step 9 =

Record in box [T4] on report form
62

12. For packages opened for Tare:

PACKAGE ERROR

(weight) = GROSS WEIGHT

Step 1

NOMINAL GROSS WEIGHT

Step 11

=

1 2 3 4 5

13. PACKAGE ERROR PACKAGE ERROR UNIT OF MEASURE

(dimensionless units) (weight)

= Step 12 -r- box [2]

1 2 3 4 5

Record these package errors on report form in crosshatched area.

14. MAV

(weight) MAV x AVERAGE WEIGHT OF LABELED COUNT

(count) LABELED COUNT

Step 6 x

Step 9

box [7]

15. MAV

(dimensionless

units)

MAV -H UNIT OF MEASURE

(weight)

Step 14 -s- box[ Record in box [7] on report form

16. Compare unopened packages with nominal gross weight (Step 11 or box [14] ).

Record package errors for remaining packages in sample directly on report form in crosshatched area.

Compare minus package errors with MAV (Step 15 or box |~4~|).

Average package errors (box [18] ). Convert back to units of count as given below:

AVERAGE PACKAGE ERROR

(count) AVG. PACKAGE ERROR x UNIT OF

(dimensionless units) MEASURE

LABELED COUNT

AVG. WEIGHT OF

LABELED COUNT

box [TT] x box [I] x

box [7] Step 9

Record in box [79] on report form.

(Boxes above with “3”. "4", and “5" in corners are for larger tare sample sizes)
63

WORKSHEET FOR CHECKING PAINT

Audit ©

Can Height

Can Diameter ©Average

Liquid Diameter ©Average

Liquid

Level ©Average

Container Depth

©Average

Liquid Depth

©

® Volume Top Middle ©Bottom Average

1 cu. in. » 0.004329 gal.

1 cm3 = 0.001 L

Volume (To) » 0.7854 x ©x(£)x©

If volume in ©is less than labeled volume, use possible violation procedures

Possible Violation

Label ©Gross Weight

©Lid Weight Wet (-) Dry©Liquid

Level ©Tare ©Water Volume

(3©“

Net Weight

©-CD

Weight of Label Volume 0*0

'"Sr

© Package Volume

f(T)

/

A7
64

Table 4-4. Thickness of paint can walls and labels.

Wall thickness

Inch-pound Metric

can size in can size mm

1 gal 0.010 4 L 0.25

1/2 gal 0.010 2 L 0.25

1 qt 0.009 1 L 0.23

1 pt 0.008 500 mL 0.23

250 mL 0.20

Label thickness ( paper) 3

(all can sizes)

Inch-pound Metric

0.004 in 0.10 mm

aThe thickness of labels lithographed directly onto the container may be

ignored.

B-21
65

Labeled Length

Labeled Width

Labeled Thickness

[

WORKSHEET FOR CHECKING

POLYETHYLENE SHEETING

0.8 X Labeled Thickness 0.93 X Labeled Thickness

Compare with All Thickness Measurements Compare with Average Package Thickness

Package Length Width Thickness Package Length Width Thickness

Package Average

Package

Average ’MM'

Package Average

Package

Average y/y/A

Package

Average ’yy/y

Semple

Average

A-ll

67

SECTION 7. EXAMPLES

This section contains worked examples of worksheets and report forms for

commonly encountered packages. (The section does not appear in H-133.)

o Category B, standard pack, labeled by weight, using an equal-arm package checking scale.

o Category B, standard pack, labeled by weight, using an electronic scale.

o Category A, standard pack, labeled by weight, using an equal-arm package checking scale.

o Category B, standard pack, labeled by volume.

o Category B, random pack.

o Categoy B, standard pack, labeled by count.

69

0ATE STANDARD PACK REPORT FORM report number

8 / 2/85 WEIGHT ONLY | S%OS

Location of TEST (Name, Address) sTRetailer Wholesaler Packager

S+fOp *N ’Pop

PRODUCT IDENTITY Sufldir frosted

BRANDKrumbli

LOT CODEIS) C 6l0l/62di/2<35

CONTAINER description GoJnd beeind baX

plash’c liner

jJlabe

ISej

:LED WEIGHT

r fans lb)

_2j UNIT OF MEASURE 0.002- ?I

b

z .

3 | MAV Table 2-8 p 41 & 42 0.0+O Ur

4j MAV (dimensionless

units) EW3--SS&’ 2°

| 5 | LOT SIZE (N) 48

[ 6 | SAMPLE SIZE (n) l/\ QA (p. 20)

1 U 88 (p, 19)

3

1 GROSS

WEIGHT 1. 1 08 Ur M2.4 Urbl TARE WEIGHT 0.l8*j Ur 0-184 Ur

cl NET WEIGHT (on\y USi l6 & 1 "h

J •md+iVe +ire )

1 7 1 TARE SAMPLE

SIZE

|—| Alternative /- \—1 (p 29)

d

| PACKAGE ERROR E-0 - 01 4 *K OQZ Ur

1 8 1 Allowed Number UNREASONABLE

ERRORS Q

—e 1 PACKAGE1 ERROR

(dimensionless

units) [7]+g]

-7 -+ 1 0Rc

(see [7] ) Range of Net Weights

10 |RT (see [~b~[

)

Range of TARE

Weights

1 1 [ Rq -t- Rt — 0^0=

n (Table 2-7,

p. 30 & 31)

13j AVERAGE TARE

dry 0-/54^'® we' alternative

13a| TARE CORRECTION

Moisture A\ Foam (p. 32) Vacuum Pack

14l NOMINAL GROSS —'weight . 9375 * 0+ 0- @ = t,\2lUrPACKAGE ERRORS

Comments: nr DISPOSITION OF LOT APPROVED

gf'REJECTED

7X'.

Acknowledged Receipt cf Report Official
70

date STANDARD PACK REPORT FORM report number 3/15/85 WEIGHT ONLY 15 208

Location ol TEST (Name, Address) S^Retailer Q Wholesaler Q Packager Joe's yMcurkct

PRODUCT IOENTITY Spag he.'tHBRAND M«a

LOT CODES) C T2T24J

CONTAINER DESCRIPTION Cotrdboond

box

1

[ LABE

Hoff

ELED WEIGHT !,(/&•)

2 | UNIT OF MEASURE 0.OOI erl

Q oz.

3 | MAV Table 2-8

p. 41 & 42 0.04+Ur

4j MAV (dimensionless

units)

| 5 | LOT SIZE (N) 89

| 6 | SAMPLE SIZE (n)

i n <P 20> / U KB (p 19)

jJ GROSS

WEIGHT /. OS3 Ur I .077 Urbl TARE WEIGHT O.Obl Ur 0.06 ^Ur

cl NET WEIGHT (only Ui ed -£crr c I+QYIAOi /»ve fasub)

| 7 1 TARE SAMPLE

SIZE O |—| Alternative

1—1 (p. 29)

d

| PACKAGE

ERROR “0 f .021 Ur +. O/S* Ur

1 8 1 Allowed Number UNREASONABLE

ERRORS Q

—e 1 PACKAGE

1 ERROR

(dimensionless

un,,s, [7]i-[T] +3st +15“

LlJ Rc

(see jT] ) Range ol Net Weights

10 K (see |~b~|) Range of TARE

Weights

11 | Rg -j. RT = [3-0 =

]2j n, (Table 2-7, Hj AVERAGE TARE * 30 4311 .OUUr^Q alternative

I3ajTARE CORRECTION

Moisture Q Foam (p. 32) Vacuum Pack

14] NOMINAL GROSS . — WEIGHT I.CCO t . O-Se 2 UOr'* 0+0- 0 = /. o^Un

Comments: DISPOSITION OF LOT: ^APPROVED

REJECTED

~T~ Align,

Acknowledged Receipt ot Report Olticial
71

Comments: 28 1 DISPOSITION OF LOT. % APPROVED

REJECTED

/6fain~

Acknowledged Reofifpt of Report YJ

Q-G&aa^

OtUciafJ ~Doe^
72

DATE 2/ll 1 84

STANDARD PACK REPORT FORM REPORT NUMBER 1+0/2.

PROOUCT IDENTITY OrU_

brand iVcuibJ^

LOT CODE(S) SNf

r Z

. PNG 1 s libl

_tj LABELED CONTENTS

IZf/crif

2 j UNIT OF MEASURE

<5.00 1 St

3 | MAV (same

units as label)

Worksheet J!/

Location ol TEST (Name, Address) (^Retailer Wholesaler Packager Cash/Cow

CONTAINER description

Ccu^

4 I MAV (dimensionless

See

Worksheet

units) 31

[ 5 | LOT SIZE (N) 96

| 6 | SAMPLE SIZE (n) /n °/ (p 20) /U ETB (p. 19) cn^

I TARE SAMPLE

SIZE

Alternative J. ( P 29) 03 | Allowed Numoer UNREASONABLE

ERRORS ^

I 9 [ Rr (See Worksheet) Range ot Net Weights

This report form is designed for standard packages not labeled by weight: for example, liquid volume,

count, area, etc.

Fill out report form heading, boxes ‘HI- and boxes mthrough 8

Go to appropriate worksheets, follow directions on the worksheet, recording data on the report form

as directed by the worksheet.

Ill Rc - Rr 0 -0 ; Hi AVERAGE TARE H NOMINAL GROSS

WE!GHT _ , See . See /) XCt? /Jr~

Worksheet 6, 0%0w U r'Worksheet ' **

I2J Rr (See Worksheet) Range ol Tare Weights

52 1 n, (Table 2-7

p. 30&31

)

Comments: 28 | DISPOSITION OF LOT: ^APPROVED

REJECTED

7T ^Milh Q^triuA^

Acknowledged Receipt o( Report Official 71
73

WORKSHEET FOR PACKAGES LABELED BY LIQUID VOLUME

NUMBERS WITH BOXES (e g. (3] ) REFER TO REPORT FORM (page 53) STEP NUMBERS (e.g. STEP 5) REFER TO WORKSHEET

Fill out report form up through boxjjf] , skip boxes [Tj and |~4~|.

(1st Pkg) (2nd Pkg) (3rd) (4th) (5th)

1. Gross Weight °*9g4 IP 0. 813 (A

2. Tare Weight

* r

t = 0.080 (Sr 0.081 (Sr >

Net Weight

* Rc

= (cmbu, LbO£ . f^crr at

\J teAMjUnjJt 'h-AJL.

)

3. Flask Weight (full) 1, / 2. (£ (Jr~ 1, Iz5“ Ur

4. Flask Weight (empty, wetted) 0. 5*<5V (Sr

5. Weight of Liquid (Step 3 -Step 4) 0. 5^2Ur 0-5'41 Ur

6. Volume of Flask 8(lay Sfloy

7. Temperature of Liquid 1S°P IS °F

8. Do the weights recorded in Step 5 differ from each other by more than the value in Table 4-3 (page 38)?

YES If this box is checked, open all packages in sample and determine each package error by volume (see Section 4.6.). NO If this box is checked, continue below.

9. AVERAGE WEIGHT OF LIQUID IN FLASK = AVERAGE OF STEP 5 = O.S^ISUr10. AVERAGE WEIGHT

OF LABELED VOLUME

LABELED VOLUME

FLASK VOLUME

• X AVG. WEIGHT OF LIQUID IN FLASK

'll. (R C

/R T =.

12. AVERAGE TARE = AVERAGE OF STEP 2 (or average of Step 2 and additional tares)'

O.OSOSMr- Record in box (TT) on report form

'Alternative Tare procedure for liquids packed in glass.

$lf additional packages are opened for tare, provision should be made for recording all pertinent data
74

13. NOMINAL GROSS WEIGHT = AVERAGE + AVERAGE WEIGHT

TARE OF LABELED VOLUME

Step 12 + Step 10 Ur0. OZOSitr -f l^\

Record in box 0 on report form

14. For packages opened for Tare:

PACKAGE ERROR = GROSS WEIGHT - NOMINAL GROSS WEIGHT

(weight)

Sieo 13

)0.onUr *0*00(0 Ur

3 4 5

15. PACKAGE ERROR

(dimensionless units) PACKAGE ERROR -h UNIT OF MEASURE(weight)

Record package errors on report form in crosshatched area.

16. MAV from Table 2-9 =

(volume) (pages 43 & 44) 0. Record in box [T] on report form.

17. MAV

(weight)

MAV

(volume)

= Step 16 x

AVERAGE WEIGHT OF LABELED VOLUME

LABELED VOLUME

Step 10

18. MAV

(dimensionless

units)

box T~| O.OltUr-

= wnr

(weight) MEASURE

i4 Record in box [T] on report form

19. Compare unopened packages with nominal gross weight (Step 13, box (T4~[ ).

Record package errors for remaining packages in sample directly on report form in crosshatched area.

Compare minus package errors with MAV (Step 18, box f~4~| ).

Average package errors (box [iff]). Convert back to units of volume as given below:

AVERAGE PACKAGE ERROR

(volume) AVG. PACKAGE ERROR x UNIT OF x LABELED VOLUME

(dimensionless units)

box 1£

MEASURE

box |~2~|

AVG. WEIGHT OF

LABELED VOLUME

box [T] _

Step 10 -(s.S x O.QOlhrX ISjOcy

0, 0157 oy Record in box

[ 19] on report form

(Boxes above with "3", “4”, "5” in corners are for larger tare sample sizes.)

oo
75

DATEY/20/85

RANDOM PACK REPORT FORM

(Page 1 of 2)

REPORT NUMBER

3 | TARE SAMPLE SIZE 4 | ALLOWED NUMBER OF LOCATION OF TEST (Name, Address) ^Retailer

1

| LOT SIZE (N) Wholesaler

JS. Packager Qaalihj foods

57

UNIT OF MEASURE

(size of scale div.) 0,00 2L2 | SAMPLE SIZE (n) A (p. 20) SO gB(p. 19)

I | alternative

(P- 29)

>tlb

oz

UJ product description, lot code

UNIT PRICE

8 1 LABELED — WEIGHT

_9j PACKAGE ERROR

0/ +

10 1 MAV

L—J (Weight)

(p. 41 & 42)

11 j MAV (dimensionless)[lO |-^-j 5 brick cheese. 0'4y f A

/es oA? 2-

*1.13 <9.57 12-

O' S2- 10

O.Sft 3

O.(ol~ sz

0A3 If

0.63 \5 Ko

0. S2- 2

0.%1 L

12

1 TOTAL ERROR -5-0

1 3 1 NUMBER OF MINUS

' PACKAGE ERRORS

EXCEEDING MAV

m, PACKAGE 1

TARE 1

6 | AVERAGE TARE

TARE 2

6 | AVERAGE TARE

TARE

UNREASONABLE ERRORS o

DRY CLd-UCll -hXAd_

Q WET (page 2 for alternative)

PACKAGE 2

TARE 3

6 1 AVERAGE TARE

TARE 4

6 | AVERAGE TARE

LOT DISPOSITION

(B only; see page 2 tor A)

IS (tT|gREATER THAN ZERO?

Y&S

OB'nO -LOT FAILS O— CONTINUE

15J AVERAGE _ TOTAL ERROR ERROR

NO. OF PACKAGES

= 0 + 0 - s

—16 AVERAGE

1 ERROR - ERROR In

in units of weight Scale div

AVERAGE UNIT OF MEASURE 0 * B

= -0.010 dr17 1 IS AVERAGE ERROR Of ?

YES — GO TO [7b] *<N0—LOT FAILS ^ LOT ACCEPTED

B'LOT REJECTED

COMMENTS:

Setentia)t> "HriomcVvu,

Acknowledged Receipt of Report Official
76

RANDOM PACK REPORT FORM

Page 2 of 2

REPORT NUMBER

ALTERNATIVE TARE CALCULATIONS:

1 3 j GROSS WEIGHT

| b | TARE WEIGHT 6bJ Rt =

| c| NET WEIGHT 6aj Rc =

| d | PACKAGE ERROR 0-0-0

6cJ Rc -f Rj = @ * 0

1 e | PACKAGE ERROR

(in scale div) 0^0

6d| n

t (Table 2-7 p 30)

Additional Tare weights:

GROSS WT 6e| AVERAGE — TARE

TARE WT

LOT DISPOSITION CATEGORY A

NOTE: PACKAGES SHOULD NOT BE ARRANGED FROM LIGHTEST TO HEAVIEST WHEN FOLLOWING A 0

ON PAGE 1, THE NUMBER OF MINUS PACKAGE ERRORS

EXCEEDING THE MAV

IS RECORDED IN BOX fl3~| BOX [T] CONTAINS THE ALLOWED NUMBER

20j AVERAGE

ERROR

(Scale div)

TOTAL NO. OF ERROR PACKAGES QU GO

Til AVERAGE ERROR

in units of weight

AVERAGE UNIT OF

ERROR * MEASURE

in no. of scale div.

I

I

I

I

I GROUP I

t

1

2

3

4

5

6

7

8

9

10 0" AVERAGE

R

IS 1 13 | Greater than

| 4 | ? u YES -LOT FAILS. RECORD

DISPOSITION IN BOX QfT|. PAGE 1 NO—GO TO [20]

RANGE OF PACKAGE ERRORS FOR EACH GROUP OF 5 PACKAGES

SUM OF -r NO. OF GROUPS

R

R =

0 * 0

22 1 IS0MINUS? NO — RECORD DISPOSITION IN BOX [Te] . PAGE 1 YES —GO TO [ 23]

25[ TABLE 2-3 Col. 2 value (page 20) ill (n/N)x 100 =

( [T]^Q)xioo =

0 Use [27] to look up 1 in Table 2-4 (page 21) f =

iil t= [0 x [is]

DISREGARDING THE SIGNS,

IS [20I larger than [29] ?

I I YES -LOT FAILS

I I NO —RECORD DISPOSITION IN BOX

[71]. PAGE 1

Record final lot disposition on page 1 in box 18
THIS PAGE TS BLANK

.
78

DATE &/I8/85 STANDARD PACK REPORT FORM REPORT NUMBER ISA 9 O

PRODUCT IDENTITY beer

BRAND Mopptj Hour

LOT CODE(S) 22T> T*86

1 | LABELED CONTENTS 2 | UNIT OF MEASURE 0,002. ?£

3 | MAV (same

units as label)

Worksheet^# 5*

CONTAINER DESCRIPTION 0he-wo4j /rnefaJ

glass bottle/^

4 | MAV (dimensionless

units)

Location of TEST (Name, Address) & Retailer Wholesaler Packager M's

[ 5 [ LOT SIZE (N)

J 7-0

I 6 | SAMPLE SIZE (n)

This report form is designed for standard packages not labeled by weight: for example, liquid volume,

count, area, etc. 10

A (p. 20) B B (p. 19)

| 7 | TARE SAMPLE

SIZE S+ 9t Alternative /-* (P- 29) 08 | Allowed Numoer UNREASONABLE

ERRORS 0

Fill out report form heading, boxes | 1 | & Eand boxes £¥] through 8 .

Go to appropriate worksheets, follow directions on the worksheet, recording data on the report form as directed by the worksheet.

| 9 | Rr (See Worksheet) 10 1 Rt (See Worksheet) 111 Rc - Rt IlJ n, (Table 2-7 13 | AVERAGE TARE 14

| NOMINAL GROSS S„0,N*' O.OffHtr

Range o1 A A£)//jL

Tare Weights UiUUIUT 0^0 = 4

p. 30&31) z

See 0 0395SISWorksheet s..waGHT

Worksheet #/.mu- 9 v ^

PACKAGE ERRORS

TOTALS

(-) (0/+)

Comments: 28 | DISPOSITION OF LOT: APPROVED

REJECTED

Acknowledged Receipt ot Report 'Do-e-~
79

WORKSHEET FOR PACKAGES LABELED BY LIQUID VOLUME

NUMBERS WITH BOXES (eg. (3) ) REFER TO REPORT FORM (page 53) STEP NUMBERS (e g. STEP 5) REFER TO WORKSHEET

Fill out report form up through boxQs] , skip boxes [T] and [T]

1. Gross Weight

(1st Pkg) (2nd Pkg) (3rd) (4th) (5th) l.lMUr /./? 7 Ur2. Tare Weight

Net Weight

* r

t

= o.ooi 0.

follr O.nsUr-

' Rc = O.OO'i o. m

3. Flask Weight (full) )AO°l 1.10 ?

4. Flask Weight (empty, wetted) 0-SZS O.S8£"

5. Weight of Liquid (Step 3 -Step 4) 0.5W 0. 52.5

6. Volume of Flask 2ft

7. Temperature of Liquid lo°f irF

8. Do the weights recorded in Step 5 differ from each other by more than the value in Table 4-3 (page 38)?

YES If this box is checked, open all packages in sample and determine each package error by volume (see Section 4.6.). NO If this box is checked, continue below.

9. AVERAGE WEIGHT OF LIQUID IN FLASK = AVERAGE OF STEP 5 = 0. SZlf JUr10. AVERAGE WEIGHT

OF LABELED VOLUME

LABELED VOLUME

FLASK VOLUME

x AVG. WEIGHT OF LIQUID IN FLASK

*11. (R C

/R T =

12. AVERAGE TARE = AVERAGE OF STEP 2 (or average of Step 2 and additional tares)*

s Or- Record in box 13) on report form

‘Alternative Tare procedure for liquids packed in glass.

Ilf additional packages are opened for tare, provision should be made for recording all pertinent data
80

13. NOMINAL GROSS WEIGHT = AVERAGE + AVERAGE WEIGHT

TARE OF LABELED VOLUME

Step 12 Step 10 d.3<?S5ttr+ O.lSSZSUr 7Ur?

I. I?l UrRecord in box [m] on report form

14.

For packages opened for Tare:

PACKAGE ERROR = GROSS WEIGHT

(weight)

Step 1 (TlSfUr- P8lUr~?

- NOMINAL GROSS WEIGHT

Step

+ .005

ttj

-hO. OObiij

.i

4 5

15.

PACKAGE ERROR

(dimensionless units) PACKAGE ERROR

(weight) UNIT OF MEASURE

16.

MAV from Table 2-9 =

(volume) (pages 43 & 44) Q-s Record in box QT] on report form.

17. MAV

(weight)

MAV x AVERAGE WEIGHT OF LABELED VOLUME

(volume)

= Step 16

LABELED VOLUME

Step 10

18. MAV

(dimensionless

units)

box (T|

yS.sU *• on

O.D37.7 Mr-

= MAV

(weight)

M±±£2zlL.

-r- UNIT OF MEASURE

= Step 17 -r- box (jT| = )L

so7oi?-i

.ooi-lh- y 19. Compare unopened packages With nominalgross weight (Step 13, box [l4~] ).

Record package errors for remaining packages in sample directly on report form in crosshatched area.

Compare minus package errors with MAV (Step 18, box |~4~|

).

Average package errors (box [l8]). Convert back to units of volume as given below:

AVERAGE PACKAGE ERROR _ AVG. PACKAGE ERROR x

UNIT OF x LABELED VOLUME

(volume) (dimensionless units) MEASURE AVG. WEIGHT OF

LABELED VOLUME

Record in box [T] on report form

box 1£ x box [T] x

box m

+0.4*0.062- Ur* >2- ft +o.o[z

Step 10

Record in box [l9] on report form

loesabove with "3", "4", "5" in corners are for larger tare sample sizes.)
81

THIS PAGE. IS BLANK
82

DATE 7/I/8S STANDARD PACK REPORT FORM REPORT NUMBER IS 5OS

Location of TEST (Name, Address) d Retailer Wholesaler Packager

Jr C

PROOUCT IDENTITY

p&per clip*

BRAND cfrp Jo'irrt

LOT CODE(S) ncme

CONTAINER DESCRIPTION plooKe. b

5 jJ LABELED CONTENTS loo

2 I UNIT OF MEASURE 0.002. g"

3 | MAV (same

units as label) See “> Worksheet O

4 | MAV (dimensionless

units) See «-> Worksheet S

fTTToTslzE*(N?

80

| 6 | SAMPLE SIZE (n) (0

A (p. 20) ja 8 <p- 19)

| 7 | TARE SAMPLE

SIZE

Alternative ^ (p. 29) 08 | Allowed Number UNREASONABLE

ERRORS 3 0Rc

(See Worksheet) Range of Net Weights

This report form is designed for standard packages not labeled by weight: for example, liquid volume,

count, area, etc.

Fill out report form heading, boxes | 1 | & m. and boxes | 5 | through 8

Go to appropriate worksheets, follow directions on the worksheet, recording data on the report form as directed by the worksheet.

1 Rt (See Worksheet) Range of Tare Weights

nj Rc * Rt 0^0 =2£j n, (Table 2-7

p. 30&31

)

13] AVERAGE tase

See 0. 0&2lv~

Worksheet ^&GHT

Worksheet 0j2^Ur- ^ '

Comments: 28 1 DISPOSITION OF LOT: $ APPROVED

REJECTED

Mo>dfU h/h1 m

Acknowledged Receipt ot Report

' ’ Official ^
83

WORKSHEET FOR PACKAGES LABELED BY COUNT

NUMBERS WITH BOXES (eg (T) ) REFER TO REPORT FORM (page 53) STEP NUMBERS (eg. "Step 5") REFER TO WORKSHEET

Fill out report form through box 1. [|] , skip boxes [T] and [T]

Gross Weight

2. Tare Weight

3. Count in Each Package

4. Weight of Counted

Items

5. Weight of Labeled Count

_

Labeled Step 4 ~ Count

x Step 3

(1st Pkg) (2nd Pkg) (3rd) (4th) (5th)

0.(18 (Jtr O.noUIr

Q.oozUr O.OOZ (Jr

lol 97

0.l33Ur 0.1l~j Ur

o. muir 0,12-1 Ur

6. MAV from Table 2-10

(count) (page 45) 3 Record in box QT] on the report form

7. MAV/6

(weight)

MAV/6 x WEIGHT OF COUNTED ITEMS

<count> COUNT IN PACKAGE

Step 6

0.5 *

Step 4 (for first package)

Step 3 (for first package) 0.O00(o ULr7o*

8. If using an equal-arm package checking scale, is value calculated in Step 7 equal to or larger than Vi the smallest graduation?

If using an electronic package checking scale, is value calculated in Step 7 at least as large as the smallest increment?

NO If this box is checked, open all packages in sample and determine each

package error by actually counting the items inside the packages.

Coit+wujlC. ClS OjjjAJJt

YES If this box is checked, continue bSIOW.

“ ' “

9. Do the weights recorded in Step 5 above differ from each other by more than the value in Table 4-3 (page 38) 7

YES If this box is checked, open all packages in sample and determine each package error by counting items inside packages.

NO Averaae Weiaht of Labeled Count = averane of Sten 5 = 0-l2JS(Jlr10. AVERAGE TARE = AVERAGE OF STEP 2 O.OOZJUr- Record in box 13 on report lorm

11. NOMINAL GROSS WEIGHT = AVERAGE

TARE

AVERAGE WEIGHT

OF LABELED COUNT

- Step 10 + Step 9 0. tzM- UrRecord in box [iT] on report form
84

12. For packages opened for Tare:

PACKAGE ERROR

(weight)

GROSS WEIGHT NOMINAL GROSS WEIGHT

(2TT C6AWif-lMVtiXJ

+0.D>ZUr -O.OOUbr

3 4

13. PACKAGE ERROR

(dimensionless units) PACKAGE ERROR

(weight) UNIT OF MEASURE

14. MAV _ MAV x AVERAGE WEIGHT OF LABELED COUNT

(weight) (count) LABELED COUNT

Step 6 Step 9 box|Tl

15. MAV

(dimensionless

units)

(37o. O.OOiM Ur

UNIT OF MEASURE

loo

vm

(weight)

= Step 14 h- boxfT]

Iff? * 2-

o. 002-(

16. Compare unopened packages with nominal gross weight (Step 11 or box (u] ).

Record in box [T| on report form

Record package errors for remaining packages in sample directly on report form in crosshatched area.

Compare minus package errors with MAV (Step 15 or box [7]).

Average package errors (box [l8] ). Convert back to units of count as given below:

AVERAGE PACKAGE ERROR

(count) AVG. PACKAGE ERROR x

UNIT OF

(dimensionless units) MEASURE

LABELED COUNT

AVG. WEIGHT OF

LABELED COUNT

box [i7] x box [2] x

box (T]

Step 9

(H xo.oozUrjOol

0.1215'Mr-j clips Record in box n9^ on report form.

(Boxes above with "3". 4 . and "5

" in corners are for larger tare sample sizes)
85

SECTION 8. RANDOM NUMBER TABLE

87

Reproduced, with permission from

A Million Random Digi ts, by the Rand Corporation, Copyright, 1955, The Free press.

TABLE OF RANDOM DIGITS

31000 63837 17813 08076 19164

87014 83331 56364 32768 85680

47293 97023 35804 69886 47494

33898 89236 06100 68848 08674

26877 95856 65227 25165 01752

53984 87855 70753 80386 78600

97809 03548 00574 21143 11605

85683 79483 74858 87491 57785

07758 57784 22934 17165 37776

13995 74006 90843 85761 89037

89630 94575 64517 80897 04861

20355 08661 11092 19682 84287

13496 74367 32701 87819 29050

68419 49317 30340 62744 45214

61481 09786 08768 93715 43847

71877 53924 09630 62975 64470

99283 86530 86819 38955 91744

09047 83453 12775 32000 60098

83724 89682 53950 41500 16023

56126 46618 87708 91994 38384

13810 51503 55122 22997 82556

85630 22794 81623 10927 52252

93350 28643 39097 00914 69844

05002 71178 15414 99874 58046

70358 57182 45747 30830 70542

98169 51114 18115 40718 46082

28010 95831 94028 57041 75137

05576 47156 09300 11197 97670

80748 66311 79421 00202 68501

39746 23690 67845 83962 09451

39380 72397 88106 07851 67756

55865 70318 58189 35340 91500

34223 72744 83926 40078 80791

91332 44474 09925 41416 96671

51010 08021 53914 37499 40228

48890 58264 18790 91535 04933

24076 93198 77444 53782 48866

49408 42923 28162 09789 15155

5C307 90901 18117 36505 01598

48320 09322 13457 84931 51701

51083 00619 05548 25431 15175

43249 71593 85595 59834 01488

00370 17413 75537 79824 24428

55737 45462 12484 64858 43581

39551 38058 10445 18463 80812

02369 11289 99499 32922 88429

92788 62546 26147 83529 10012

98650 95898 74254 45173 17430

95591 85858 51058 2614 0 00995

67853 23563 410G3 63355 72454

95508 17513 29416 61238 25818

08844 59844 68794 32783 60318

94574 45842 67221 77115 43398

87786 42425 92091 86274 82166

99463 15216 28719 04716 80246

39244 76967 83263 57849 85890

30245 87395 80966 28721 11095

61270 51111 50490 40940 02832

33361 79191 97398 40881 98552

13567 4 67089 47435 75156 70217

50564 15287 94279 69154 75473

23597 48246 74325 66320 90155

90959 99765 59374 45204 87750

79826 34043 73218 72788 26143

68901 51249 35382 67776 06271

46832 40591 23477 21063 31229

89632 64623 849S6 85990 47639

98862 93422 66212 86413 82884

83862 88274 68301 99673 40945

27047 91550 18903 45535 45586

22697 54985 64852 58775 66737

27384 03122 17454 03250 23232

06450 3281S 88752 28722 94656

35461 56349 81936 14964 83638

25932 16298 23521 72454 11640

75847 15678 22842 44615 97810

55128 99785 33467 33834 04860

20064 98145 84774 07907 10992

40422 07368 26795 24353 78969

21501 75317 09049 69440 16137

58042 44218 52775 49082 54400

80940 39231 54836 18038 03557

42723 68340 47452 17443 69289

11213 60979 04130 72380 73582

92606 07225 18014 71063 50111

56656 76389 37904 98017 07663

65614 11410 90637 63675 43554

CC742 66785 79065 93573 19853

68997 96338 40823 96247 55573

14878 05422 65358 85636 31948

82428 00637 41814 68871 31683

06917 32850 80134 01832 25905

28941 58659 66731 99910 27156

06220 07507 391 19 38024 99720

51243 22351 63266 94057 06573

90484 42010 53308 33206 36137

77611 78925 06071 G63 14 35705

73882 03 111 88447 43279 35057

16881 87372 72616 18796 58537

1G0IG 72229 54720 098-16 51392

G-l
88

TABLE OF RANDOM DIGITS

32942 95416 42339 59045 26693

07410 99859 83828 21409 29094

59981 68155 45673 76210 58219

46251 25437 69654 99716 11563

65558 51904 93123 27887 53138

99187 19258 86421 16401 19397

35641 00301 16096 34775 21562

14031 00936 81518 48440 02218

60677 15076 92554 26042 23472

66314 05212 6785,9 89356 20056

20416 87410 75646 64176 82752

28701 56992 70423 62415 40807

74579 33844 33426 07570 00728

62615 52342 82968 75540 80045

93945 06293 22879 08161 01442

75689 76131 96837 67450 44511

02921 16929 35424 93209 52133

14295 34969 14216 03191 61647

05303 91109 82403 40312 62191

57071 90357 12901 08899 91039

78471 57741 13599 84390 32146

89242 79337 59293 47481 07740

14955 59592 97035 80430 87220

42446 41880 37415 47472 04513

18534 22346 54556 17558 73689

39284 33737 42512 86411 23753

33922 37329 89911 55876 28379

78355 54013 50774 30666 61205

08845 99145 94316 88974 29828

01769 71825 55957 98271 02784

17639 38284 59478 90409 21997

05851 58653 99949 63505 40409

42396 40112 11469 03476 03328

13318 14192 98167 75631 74141

60571 54786 26281 01855 30706

09531 81853 59334 70929 03544

72865 16829 86542 00396 20363

56324 31093 77924 28622 83543

78192 21626 91399 07235 07104

64666 34767 97298 92708 01994

82201 75694 02808 65983 74373

15360 73776 40914 85190 54278

68142 67957 70896 379S3 20487

19138 31200 30616 14639 44406

28155 03521 36415 78452 92359

87971 29031 51780 27376 81056

58147 68841 53625 02059 75223

18875 52809 70594 41649 32935

75109 56474 74111 31966 29969

35983 03742 76822 12073 59463

G-2

49057 87496 20624 14819 48667

65114 36701 25762 12827 45692

45738 29550 24736 09574 35036

08803 86027 51867 12116 38469

21488 09095 78777 71240 87225

83297 40111 49326 81686 40601

97983 45040 19200 16383 68739

04756 19506 60695 88494 58501

69869 62877 19584 39576 18290

30648 87349 20389 53805 85243

63606 37011 57346 69512 56464

98086 58850 28968 45297 80419

07079 19322 56325 84819 48754

53069 20665 21282 07768 60375

75071 21427 94842 26210 95002

50424 82848 41975 71663 79656

87327 95897 65171 20376 13475

30296 66667 10101 63203 75144

67023 90073 83205 71344 96216

67251 -28701 03846 94589 88403

00871 09354 22745 65806 78187

43345 25716 70020 54005 23973

06392 79028 57123 $2872 94991

49494 08860 08038 43624 46013

14894 05030 19561 56517 96479

29690 26096 81361 93099 33868

81031 2205S 21487 54613 81052

42574 47773 36027 27174 44830

97069 90327 61842 29604 47994

66731 40311 88495 18821 12463

56199 30068 82800 696S2 45133

85551 90729 64938 52403 56841

84238 26570 51790 42122 40S74

22369 36757 89117 54998 87031

66578 32019 65884 58485 10909

18510 89541 13555 21168 81318

13010 69645 49608 54738 17894

28912 15059 80192 83964 61904

73652 64425 85149 75409 67104

53188 78476 07804 62404 34828

66693 13094 74183 73020 31086

99054 62944 47351 89098 26735

95350 16371 03426 13895 42170

44236 57360 81644 94761 92813

81091 56513 88321 97910 22235

86155 55488 50590 74514 58791

16783 19272 61994 71090 784 1G

26430 82096 01605 65846 65228

70093 98901 84550 25769 82586

84420 15868 99505 11426 62723
89

TABLE OF RANDOM

12651 61646 11769 75109 86996

81769 74436 02630 72310 45049

36737 98863 77240 76251 00654

82861 54371 76610 94934 72748

21325 15732 24127 37431 09723

74146 47887 62463 23045 41490

90759 64410 54179 66075 61051

55683 98078 02238 91540 21219

79686 17969 76061 83748 55920

70333 00201 86201 69716 78185

14042 53536 07779 04157 41172

59911 08256 06596 48416 69770

62368 62623 62742 14891 39247

57529 97751 54976 48957 74599

15469 90574 78033 66885 13936

18625 23674 53850 32827 81647

74626 68394 88562 70745 23701

11119 16519 27384 90199 79210

41101 17336 48951 53674 17880

32123 91576 84221 78902 82010

26091 68409 69704 82267 14751

67680 79790 48462 59278 44185

15184 19260 14073 07026 25264

58010 45039 57181 10238 36874

56425 53996 86245 32623 78858

82630 84066 13592 60642 17904

14927 40909 23900 48761 44860

23740 22505 07489 85986 74420

32990 97446 03711 63824 07953

05310 24058 91946 78437 34365

21839 39937 27534 88913 49055

08833 42549 93981 94051 28382

58336 11139 47479 00931 91560

62032 91144 75478 47431 52726

45171 30557 53116 04118 58301

91611 62656 60128 35609 63698

55472 63819 86314 49174 93582

18573 09729 74091 53994 10970

60866 02955 90288 82136 83644

45043 55608 82767 60890 74646

17831 09737 79473 75945 28394

40137 03981 07585 18128 11178

77776 31343 14576 97706 16039

69605 44104 40103 95635 05635

19916 52934 26499 09821 87331

02606 58552 07678 56619 65325

65183 73160 87131 35530 47946

10740 98914 44916 11322 89717

98642 89822 71691 51573 83666

60139 25601 93663 25547 02654

DIGITS

97669 25757 32535 07122 76763

18029 07469 42341 98173 79260

64688 09343 70278 67331 98729

44124 05610 53750 95938 01485

63529 73977 95218 96074 42138

07954 22597 60012 98866 90959

75385 51378 08360 95946 95547

17720 87817 41705 95785 12563

83612 41540 86492 06447 60568

62154 77930 67663 29529 75116

36473 42123 43929 50533 33437

68797 56080 14223 59199 30162

52242 98832 69533 91174 57979

08759 78494 52785 68526 64618

42117 71831 22961 94225 31816

80820 00420 63555 74489

1 80141

45630 65891 58220 35442 60414

76965 99546 30323 31664 22845

45260 08575 49321 36191 17095

30847 62329 63898 23268 74283

13151 93115 01437 56945 89661

29616 76531 19589 83139 28454

08388 27182 22557 61501 67481

28546 37444 80824 63981 39942

08143 60377 42925 42815 11159

99718 63432 88642 37858 25431

92467 31742 87142 03607 32059

21744 97711 36648 35620 97949

85965 87089 11687 92414 67257

82469 12430 84754 19354 72745

19218 47712 67677 51889 70926

83725 72643 64233 97252 17133

95372 97642 33856 54825 55680

30289 42411 91886 51818 78292

24375 65609 85810 18620 49198

78356 50682 22505 01692 36291

73604 78614 78849 23096 72825

86557 65661 41854 26037 53296

94455 06560 78029 98768 71296

79485 13619 98868 40857 19415

79334 70577 38048 03607 06932

32601 27994 05641 22G00 86064

47517 43300 59080 80392 63189

81G73 CS657 09559 23510 95875

80993 61299 36979 73599 35055

30705 99582 53390 46357 13244

09854 18080 02321 05809 041

88189 30143 52687 194 20 60061

6164 2 4GGB3 33761 47542 23551

94829 48672 23736 84994 13071

G-3
90

TABLE OF RANDOM

42902 51104 38993 54071 75033

82989 95401 97093 57790 09271

13523 66327 39522 83279 50432

74785 72548 36886 97749 52364

77739 44753 03957 53267 13225

58236 98093 81969 21510 20727

94641 38922 76016 66041 92109

15317 99242 46970 58119 15178

00624 09824 83319 26428 69711

23295 02389 05795 70981 05664

70292 13217 90859 05792 09833

08550 22580 43519 51755 50308

94981 10727 29544 37001 02751

70318 46657 73496 92074 63918

27510 92421 43020 79733 81369

41289 29535 33408 05708 76999

37586 71952 19967 77327 45052

65737 05451 24726 95840 89663

87473 53058 80611 24464 50379

89920 40997 03736 00992 80443

10203 39157 90207 07120 19280

63864 57186 93586 52497 32459

45006 51623 30675 56395 67037

01839 83286 87159 72173 69624

07708 41627 62416 05579 87013

17655 18629 94121 20967 82561

96137 55079 15672 21474 22403

66495 22010 73641 70391 31391

54585 37425 12794 71143 65025

28180 01067 68577 99878 01960

44655 45433 72815 11383 27507

31321 57930 02748 46178 27490

36218 26166 64389 39466 53435

06853 28955 15516 22467 54482

45231 95235 00120 85500 41753

60484 63181 83125 42402 86905

83577 81518 87638 08719 84819

09724 39466 80440 69636 37481

58504 66886 64596 23484 25596

37033 02248 28174 29215 51118

28026 12852 46235 15058 00222

12831 55496 60299 47364 52600

14507 71736 33817 42164 89793

82424 22539 73202 32091 97375

59133 35497 25135 24968 93294

72031 14923 44610 70690 35644

65161 59905 40133 95680 78737

50062 64153 20669 81461 80140

18116 19026 22965 39908 30649

29105 00954 71562 10193 41802

DIGITS

43897 24684 62233 05749 76653

05895 27692 65558 28890 75645

88392 37826 81599 97612 34122

78430 15990 86418 53689 73170

89471 59481 53923 52588 54986

91655 23601 77178 43468 77172

76430 07105 45987 62177 37542

10125 89295 83401 28737 53214

71980 77666 57012 83722 06961

32846 99935 81786 90285 03818

49409 45496 62194 98232 59969

68330 70244 27806 33662 90457

82481 33622 89729 10488 54507

13428 13249 68163 31032 72138

11801 43094 91733 79865 67010

37772 97740 44905 16840 25538

16811 52264 09700 08766 08450

37418 31034 44631 02044 89446

93555 80327 29829 75884 69962

12071 57996 42605 92034 89189

37862 96041 66652 05173 59475

85507 19646 80758 31519 71022

33850 94000 57166 88739 92350

75457 95469 48064 31695 17608

84309 56068 84979 78592 36446

65520 87874 72484 86640 33610

74557 10290 39575 62266 10125

43927 45219 38479 80100 82717

74706 30555 42290 45357 08567

86209 95045 62490 34554 65505

80064 26860 44549 42538 48425

65081 97037 67297 54273 67483

89404 45328 34152 24787 98162

70997 37271 13166 32827 29958

36053 04285 77365 33273 97811

40988 25091 68407 18356 62600

15068 60067 48628 46522 78010

20907 90064 06280 57942 71723

43400 04787 54631 05421 50230

04863 23752 10000 33331 62358

26478 73671 81592 18436 67676

02906 93295 27011 42904 33856

67645 06609 224S3 49017 99946

11126 75877 89720 83213 65129

12442 89020 11700 42936 43010

97897 16835 41673 63777 90758

93726 95312 18215 20184 842S9

88536 24552 78781 39807 00018

91235 27259 08170 77321 12795

53790 85828 60565 09835 42761

G-4
91

TABLE OF RANDOM DIGITS

43398 79666 37687 36431 34822

78711 15270 42232 87128 31711

54489 52503 11005 00067 23146

17324 40078 14214 19160 25276

67297 25163 16386 62687 07398

56959 16184 32709 57507 92221

78207 34228 39440 67765 80627

99508 47528 01328 67220 50824

66199 99811 13887 31301 41034

91987 73491 22639 94096 01702

80125 84984 47804 90908 11106

69743 16618 59364 73 313 89143

41686 85487 91526 28593 54635

80967 75537 81999 02257 62232

24148 95247 12340 39407 71596

22989 64262 12716 32930 32303

54147 01638 95954 66666 30544

07529 10668 23743 02743 10252

36379 13588 44587 31015 34971

38653 73761 61363 95667 03372

72327 65811 53782 01608 38741

41133 06312 13340 18870 27204

15039 81095 50787 28452 61100

40499 67587 16761 25929 43836

46910 72907 18515 12710 11580

15009 81751 07942 14046 54993

10538 10295 62995 16527 55334

70204 91225 78307 55577 78715

30403 98849 55318 99947 23625

75147 49930 47054 08485 91397

20770 53498 05412 19184 25997

51096 90416 18721 42390 31517

05027 43924 37581 31418 57010

22013 11299 76690 92730 10867

50232 30821 45382 85723 15635

20724 99075 91270 13936 74962

65692 61084 48856 34766 09098

81215 08824 06387 10900 83463

86127 96878 53819 10715 67213

26483 16992 89421 15216 71632

84697 87543 67935 72389 18299

89691 53802 42595 310S9 20914

20295 92548 68410 15006 02091

98925 64297 94922 26349 58805

53560 52945 68649 31696 69387

45034 92695 98157 83536 55140

35222 86197 20082 60378 05392

08071 77462 20243 55151 02607

54802 07781 29975 44720 62534

84209 92329 32234 11385 09067

00779 38828 71137 85054 64660

77482 85873 17317 94357 78210

44973 39257 65815 13929 77081

05125 52020 97099 77116 45921

18963 60035 35598 14404 14872

82925 46064 94665 73523 23638

08869 05514 24215 65237 82139

47847 69726 75453 08780 53120

63717 10310 33607 01858 28266

48093 35976 93334 17638 65818

43995 83182 39647 ‘ 41504 23286

89412 39331 84989 92091 01383

77149 59117 30291 68266 65760

00956 24954 88932 90733 35767

53961 61089 68699 38891 87153

18783 65166 56622 93342 14032

67089 04524 19251 57440 69100

47893 83969 54252 47327 31685

25146 33188 05213 17157 65663

35800 58711 15872 33342 02963

58353 51594 48982 85028 75444

83187 91970 91498 17234 52283

39538 25225 92624 18517 77361

43466 80409 95407 46777 22668

52823 95769 71506 39644 66877

68001 13782 91933 61130 61752

05736 92168 35393 01026 26984

54507 21486 26920 52995 98095

74643 85157 45893 49287 03567

25614 83669 08353 61573 49629

06100 27128 43137 77812 13101

28366 30073 89021 40881 36162

05808 75544 68156 75440 64496

12748 58655 44844 11933 16752

85910 19874 61262 74598 41321

15346 05181 52254 42138 18237

87381 29763 65051 91174 80750

19773 83029 816S9 66067 38729

53160 17249 44596 76354 33601

83429 96263 16342 15595 48978

93559 90668 86972 42G32 40502

80542 96241 14487 84488 74117

78176 67889 32552 62792 30147

55911 80640 74650 71207 14412

62573 15635 23958 75948 59083

91189 98557 21505 89477 3 3010

41064 03418 28472 39593 19710

78441 12397 76800 62801 62770

1G001 . 78043 70078 13091 09599

99793 84549 50498 13340 41986

G-5
92

TABLE OF RANDOM

07018 31172 12572 23968 55216

52444 65625 97918 46794 62370

72161 57299 87521 44351 99981

17918 75071 91057 46829 47992

13623 761G5 43195 50205 75736

27426 97534 89707 97453 90836

96039 21338 88169 69530 53300

68282 98888 25545 69406 29470

54262 21477 33097 48125 92982

66290 27544 72780 91384 47296

53348 39044 04072 62210 01209

34482 42758 40128 48436 30254

99268 98715 07545 27317 52459

95342 97178 10401 31615 95784

38556 60373 77935 64608 28949

39159 04795 51163 84475 60722

41786 18159 96649 92406 42773

95627 30768 30607 89023 60730

98738 15548 42263 79489 85118

75214 61575 27805 21930 94726

73904 89123 19271 15792 72675

33329 08896 94662 05781 59187

66364 94799 62211 37539 80172

68349 16984 86532 96136 53893

19193 99621 66899 12351 72438

49017 23489 19172 80439 76263

76941 7700S 27646 82072 28048

55430 25875 26446 25738 32962

33023 26895 65304 34978 43053

87337 74487 83196 61939 05045

81773 36773 21247 54735 68996

74279 85087 94186 67793 18178

34968 76028 54285 90845 35464

99696 78454 21700 12301 88832

55282 61051 97260 89829 69121

31337 83886 72886 42598 05464

94128 97990 58609 20002 76530

06511 48241 49521 64568 69459

69981 03469 56128 80405 97485

23701 56612 86307 02364 88677

09237 24607 12817 98120 30937

11007 45461 24725 02877 746G7

60622 78444 39582 91930 97948

79973 43668 19599 30021 68572

71080 71367 23485 82364 30321

09923 26729 74573 16583 37689

63094 72826 65558 22616 33472

19806 42212 41268 84923 21002

17295 74244 43088 27056 86338

59338 27190 99302 84020 15425

DIGITS

85366 56223 09300 94564 18712

59344 20149 17596 51669 47429

55008 93371 60620 66662 27036

26797 64423 42379 91676 75127

77473 07268 31330 07337 55901

78967 00704 85734 21776 85764

29895 71507 28517 77761 17244

46476 54562 79373 72993 98998

98382 11265 25366 06636 25349

54892 59168 83951 91075 04724

43999 54952 68699 31912 09317

50029 19016 56837 05206 33851

75366 43688 27460 65145 65429

77026 33087 65961 10056 72834

94764 45312 71171 15400 72182

35268 05044 56420 39214 89822

23672 37333 85734 S9886 81200

31519 53462 90489 81693 17849

97073 01574 57310 59375 54417

39454 19616 72239 93791 22610

62175 48746 56084 54029 22296

53284 28024 45421 37956 14252

43269 91133 05562 82385 91760

48268 82821 19526 63257 14288

99839 24228 32079 53517 18558

98918 59330 20121 89779 58862

41589 70883 72035 81800 50296

24266 26814 01194 48587 93319

2S951 22676 05303 39725 60054

20405 69324 80823 20905 68727

16937 18134 51873 10973 77090

82224 17069 S7880 54945 73489

68076 15868 70063 26794 81386

96796 59341 16136 01803 17537

86547 62195 72492 33536 60137

88071 92209 50728 67442 47529

81981 30999 50147 93941 80754

95079 42588 98590 12829 64366

88251 76708 09558 86759 15065

17192 23082 00728 78660 74196

70666 76059 44446 94188 14060

18427 45658 40044 59484 59966

13221 99234 99629 22430 49247

31816 63033 14597 28953 21162

42982 74427 25625 74309 15855

06703 21846 78329 98578 25447

67515 75585 90005 19717 08865

30588 40676 94961 31154 83133

47331 09737 83735 84058 12382

14748 42380 99376 30496 84523

6-6
93

table: or RANDOM

29257 36060 81080 67493 23666

04426 95304 83272 18379 46498

72622 55513 82844 85553 16852

63755 08166 33097 46244 16769

23931 55916 48477 33067 76572

96443 13697 61186 63971 20547

33595 83707 92545 83866 06895

87400 72301 05172 25637 13665

10716 35521 73850 99275 97475

81465 80905 77978 42899 65518

77706 53575 16463 00350 44697

75622 35864 56564 40277 66044

18418 16826 26355 51841 01235

02205 51273 87582 80276 88583

08345 03180 15659 86285 09579

43734 89733 87697 28098 70926

89981 80872 87829 56857 78208

20660 70109 01273 42633 77445

48210 18773 36169 60470 37941

65433 21735 36444 40569 32023

09638 39323 55045 58988 30967

89418 30419 67738 14877 17948

23083 08913 59531 11403 96757

30343 01516 78510 15138 49538

18284 64484 57502 80120 95894

47943 40974 82162 34485 44930

55480 50090 91328 09979 23824

29905 4632S 06091 12419 35540

82268 73981 37205 65249 07751

42183 74789 78645 68686 12399

82178 50120 06396 62927 27126

49836 15424 10577 89926 89407

96881 32775 85851 60822 08530

20414 02812 65040 27108 34291

62174 64315 82589 31761 26476

48808 13755 89592 43057 35053

93162 69261 87781 82538 75030

81009 59154 63054 77841 35348

11796 19222 73310 68903 54526

48728 67741 07718 37592 95126

73347 09803 63349 39332 23487

34704 15020 45067 29373 24970

24147 47285 01070 86152 20380

38113 53850 17580 01850 33698

01435 59660 45587 96635 57407

76230 93764 38424 43810 11252

76698 49005 35125 73104 93675

21081 41735 47975 16487 37540

25671 3220G 93142 93930 57886

03245 76312 63143 57914 10925

G

DIGITS

22251 17616 60716 77125 18653

60045 80649 35179 03185 57068

57931 04063 57516 46529 47030

48531 56618 90035 88363 04097

84835 96208 68558 23560 89245

14846 77137 62636 88927 34322

28019 08547 04275 79277 28833

86725 45970 42670 35291 22685

11064 93492 05362 57562 99582

48688 96755 83554 76916 15224

94868 22697 33740 60701 04034

78417 52968 52982 82340 92970

15986 65898 74181 51391 11313

30633 50721 65017 48735 0,4476

07969 17850 88197 14309 25013

22790 79293 01093 72673 60257

85949 60249 30159 45499 29735

02439 03144 12100 12971 59574

68015 76627 38973 81699 34262

60078 31045 99679 76253 81056

16461 .. 57491 58625 14327 19825

30083 54764 62024 68310 21207

23468 57382 48057 70725 59933

58588 06080 23844 44412 87882

34977 74098 73551 81743 58364

27794 66180 76055 69035 91186

71199 65640 69121 12071 46595

09817 63102 80393 76848 09779

92537 92368 09251 29892 53919

27592 36651 05904 45764. 11336

40350 87365 28918 39266 22549

37622 38430 48356 93062 86591

83330 99819 24740 34199 90176

90243 18207 85800 53786 28723

95984 54304 13061 77554 92988

53853 20086 12130 90105 26139

08496 25862 41090 06267 07824

61706 27750 03274 64051 62435

56338 54017 47320 67925 40813

68160 55907 46168 06840 96853

69045 51759 99114 86318 60963

94427 23023 88559 65920 9 < 13113 60138 69612 38184 41601

6023 9 840G5 82019 52464 11836

97292 15584 05498 54391 33149

02843 64856 71551 6618G 36921

83189 38168 69103 75653 64780

89936 16311 78716 51 188 87349

14113 18177 97474 326G9 21: 61894 91043 64156 61020 55339

7
94

TABLE OF RANDOM 08GIT5

12304 04213 03857 77012 84959

59502 54256 54169 18949 00578

52525 24721 81450 99816 07524

06066 38128 36539 68551 74800

32362 41206 88773 78930 14709

55291 39114 43274 08119 42433

51077 99516 90497 26100 79144

29369 93401 32750 04395 63773

42533 89580 38883 55304 05990

04754 07817 51857 33035 00758

32520 68082 07089 28568 15498

18689 25625 09537 43720 39550

57766 90922 46815 02604 10651

16644 40236 98798 16895 47562

54973 61336 84051 15680 61130

18843 01926 08340 63318 39291

30789 48386 59732 94241 28859

23835 05112 17169 92771 81220

99348 87514 12386 12568 79923

52403 25537 61636 84602 75830

94954 12924 25669 91119 51663

28337 02935 11644 94210 85920

02045 59831 38770 48734 87524

39668 61855 36871 50775 30592

77174 97729 23913 48357 63308

84205 12639 79348 36085 27973

31893 11224 92074 54641 53673

82986 90226 06873 21440 75593

06252 31044 12478 37622 99659

39097 59195 57175 55564 65411

54053 73645 91616 11075 80103

92640 43265 78025 73539 14621

95234 80109 27587 67228 80145

48122 50637 16690 20427 04251

89174 38509 70183 58065 65489

16862 18929 90730 35385 15679

76054 03096 10934 93242 13431

39901 38669 82462 30166 79613

39221 64403 27463 10433 07606

14704 78488 02979 52997 09079

35052 59679 46888 69929 75233

01514 33319 53638 83161 08289

59723 91330 82433 61427 17239

75249 58952 35766 31672 50082

82558 71239 10853 42581 08792

80822 66731 20341 27398 72906

41067 39859 54458 90542 77563

13008 65442 26337 66530 166S7

36084 99076 34314 23729 85264

37741 50156 28603 10708 68933

53863 21679 49848 20212 95997

72749 86070 61699 19657 21066

29159 99127 49280 66476 22569

30921 23803 32781 20508 10456

25123 82601 48698 86804 39779

53045 29083 18310 02445 83490

28324 78290 22654 79424 93171

29493 73060 05438 78848 21222

22509 58052 94655 59881 73303

84795 46887 37543 12070 01151

00217 74945 29306 71156 07467

47209 02896 40180 52349 02624

47538 30491 39659 19233 00997

30781 89366 72890 83027 49302

44605 42552 09081 57256 55053

68949 86588 81732 61205 98340

07370 25804 52349 20145 54183

68367 14568 66179 63268 15912

56581 59255 48255 03675 88717

34897 64019 80421 94358 83868

92889 25249 10664 31461 37253

78117 31536 38256 97799 78542

74387 85480 33475 43352 00890

57143 17381 68856 25853 35041

16090 51690 54607 72407 55538

65157 07456 22255 25626 57054

54421 1S130 60103 69593 49464

41373 49502 17972 82578 16364

31065 83613 69889 58S69 29571

42547 70457 03426 72937 83'792

07831 59309 13276 26710 73000

39044 47450 03197 127S7 47709

10175 12822 86687 65530 49325

64477 73709 73945 92396 68263

31833 82093 16747 10386 59293

99742 50866 78028 75573 67257

24590 02770 48582 00906 58595

47416 13389 80268 05085 96666

16285 93699 60912 94532 95632

92709 90110 47506 53693- 49892

52507 32097 37594 10067 67327

12639 08141 12640 28437 09268

89160 19666 08814 37841 12847

22795 66948 65581 84393 15S90

13257 61973 24450 52351 16602

63955 17276 10646 74692 48438

51839 52901 53355 83281 19177

35179 46560 00123 44546 79896

05575 96855 23820 11091 79821

34189 921G6 15181 66628 58599

G-8
TABLE OF RANDOM DIGITS

00958 98267 66194 28926 99547

30346 26957 78240 43195 24837

14056 57841 00833 88000 67299

96789 22551 12111 86683 61270

12633 15075 47189 99951 05755

25893 57092 76396 72486 62423

13092 50817 46409 17469 32483

72872 54109 74626 22111 87286

20724 19944 34450 81974 93723

37009 52173 36327 72135 33005

25961 70386 74185 77536 84825

73962 47022 12296 41623 62873

63164 76372 90822 60280 88925

05366 00082 72121 79152 96593

15902 61363 95268 41377 25684

53845 17851 92603 09091 75884

31694 55633 18813 90291 05275

23016 96567 38840 26903 28624

17292 18430 05959 33836 53758

75465 99837 85141 21155 99212

89013 86492 75047 59643 31074

44551 77837- 30752 95260 68032

49675 13139 22986 82575 42187

40789 73539 99439 86692 90348

64086 82765 20389 93029 11881

79143 31528 39249 05173 68256

28231 07703 96777 33605 29481

76327 50155 04860 32918 10798

05428 65225 64285 86579 77447

56800 69853 75583 38682 55733

96180 50261 88659 11717 88909

52712 95148 66393 07111 89741

76869 19027 12764 32712 60671

50472 24399 17313 79665 07409

77168 64382 26927 54318 51043

79482 10156 87785 49603 85048

97826 82559 69027 41569 05422

00872 36839 01840 14860 76529

68457 71054 94300 18582 55813

35973 75910 16921 48284 48074

32091 50229 65799 13777 93030

81440 18180 6S025 89261 65881

83893 89983 95140 400S9 21441

64000 19357 74288 60608 49826

48420 68527 2S646 44721 81925

96237 34204 08890 41795 28507

13429 41773 59936 30327 76898

20753 53940 49246 73092 81744

6375? 93547 77926 16709 05242

444)5 49199 55899 09790 70636

/

16625 45515 67953 12108 57846

32511 70880 22070 52622 61881

68215 11274 55624 32991 17436

58036 64192 90611 15145 01748

03834 43782 90599 40282 51417

27618 84184 78922 73561 52818

09083 76175 19985 26309 91536

46772 42243 68046 44250 42439

49023 58432 67083 36876 93391

28701 34710 49359 50693 89311

09934 99103 09325 67389 45869

37943 25584 09609 63360 47270

99610 42772 60561 76873 04117

90305 10189 79778 68016 13747

08151 61816 58555 54305 86189

93424 72586 88903 30061 14457

01223 79607 95426 34900 09778

67157 51986 42865 14508 49315

16562 41081 38012 41230 20528

32685 51403 31926 69813 58781

38172 03718 32119 69506 67143

62871 58781 34143 68790 69766

62295 84295 30634 66562 31442

66036 48399 73451 26698 39437

71685 65452 89047 6366S 02656

36359 20250 68686 05947 09335

20063 09398 01843 35139 61344

50492 52655 33359 94713 28393

75313 35762 45824 21535 48707

98453 35129 73541 62087 36549

87891 16709 97814 26600 79266

03758 42184 67000 66680 61277

98845 81227 38052 48243 91867

73900 66673 58861 08168 10289

03483 76777 27319 78196 16909

63090 60719 29756 10696 75713

47286 97825 15559 43482 07676

55890 12228 33910 26873 88758

26346 68685 24920 36374 87702

01401 10518 25359 52702 82966

53615 17057 07212 75930 56G04

32138 73735 78459 74164 18466

39173 46895 16136 92301 33754

78374 72191 94 337 24234 44821

48579 35499 634 75 95235 51410

83735 82390 49173 80738 89279

96866 22721 96619 20297 01714

00189 G0064 57631 77199 827

4

91269 52190 47-181 82784 612

19057 51986 69657 97293 •l 7 7 2 <J
96

TABLE OF RANDOM BOGUS

04340 19889

41110 86887

73187 80431

95568 86799

23893 19483

27266 77468

19559 64945

57245 77311

49721 89049

18624 78634

57278 28133

97953 43227

07431 45121

20930 54735

78003 86322

48541 02641

52684 87995

44032 67360

40757 07266

42290 21749

37592 08604

32583 59967

75625 48032

91808 34409

11926 91034

78782 17338

54319 43047

34359 78839

52871 79550

69226 39419

07575 58710

91682 48619

62040 64062

80099 81346

77758 41609

20009 11788

52091 84347

19569 02594

48286 19309

44400 82261

19322 99470

21704 81386

59506 33660

69876 11749

47268 55681

80651 73964

91894 81410

40239 16519

88212 51975

55103 14461

15360 93359

70678 38035

23620 33295

71594 59029

63723 62966

24852 88450

80184 48999

46973 78646

18043 96840

84956 48341

89681 97881

43702 10623

54462 31774

13231 93527

34505 46547

53542 99986

64315 84822

05891 58701

59390 38399

26756 37752

68884 04609

73502 30408

55454 08551

40787 87299

66757 59927

92577 67823

15333 05876

70625 57559

54688 70326

69027 03208

77442 46535

27681 24853

04226 93412

39931 61597

21889 89837

69919 24170

95580 75795

01629 03406

51509 19550

03354 83574

26017 84967

74950 80322

91532 81253

09462 07373

47276 70856

03479 59241

94554 18640

19021 56584

70144 45090

04968 56061

52832 36514

20802 39128

46143 46638

22662 08106

28505 06689

09576 24905

68826 04133

36370 16393

95916 59340

64397 05508

02509 27534

54520 90528

44596 23531

01791 81084

31967 06395

85386 25834

59360 87848

81878 92801

24785 11136

17762 07646

86696 19155

10037 19425

87706 42235

19799 04132

94741 55372

39569 13351

91396 16242

84609 26286

45199 80127

66103 59708

56137 11321

75562 10170

37861 12551

82354 94331

61270 67122

46353 63277

G3340 96698

05509 43349

30322 56291

31365 36334

00342 30727

18850 43610

63637 47042

03284 24096

34924 67283

75946 90965

83250 44168

27984 89892

35905 44879

66469 61568

88259 03612

96714 97330

44799 58271

31531 16485

50250 48775

64340 34108

96184 64191

31079 89061

21304 88681

36607 79140

62025 05049

72858 07010

58076 87218

29618 38043

454S6 30345

36064 58249

89529 46622

01135 99264

45847 85836

06765 89749

80223 69513

45471 18610

50672 49761

61255 24318

37739 88835

85013 03763

80842 58427

45640 07032

32797 27430

26690 69567

30936- 99987

04461 2S460

38482 2S012

04816 66451

81281 32626

43644 29794

06957 66554

23223 96491

73137 03S67

81718 63357

86311 96458 84173

35499 57991 05992

80198 19429 26262

18376 54051 71446

53952 54010 24425

85491 79648 30293

81245 09998 80494

23159 32970 91162

93468 83446 94238

92774 26397 46587

86173 53747 03141

896S8 64524 08530

98309 16475 26722

79559 67497 56559

40545 65085 77086

99212 60393 72573

76580 84 64 8 04210

73852 44752 5084 9

23148 S9768 10865

26773 23897 70640

06386 39946 49558

47982 01949 50203

42605 64807 29526

40239 42174 14601

21284 90929 05499

31305 96030 25760

86183 01343 82296

40386 81829 16582

48988 63226 05278

51470 41598 29070

75425 69947 37198

87826 82214 05660

92523 62702 02103

05533 3 8354 61813

03427 62353 77932

59370 75741 05229

76599 43704 21301

07905 65 1 20 48320

45987 55568 08478

75961 04522 09761

G-10
97

• TABLE OF RANDOM

833 83 15461 88997 96634 39343

86561 67600 87081 76544 08982

27512 89046 61975 79250 64579

61330 11838 37496 74484 83272

45991 21942 34406 28785 41740

17361/ 67790 10353 36885 34317

11304 46345 40639 19572 34159

13487 32387 76475 72583 57269

17471 44765 26548 66533 61231

23375 29913 24245 78402 03791

79409 54902 27283 19483 87369

40624 97378 15645 87183 08818

47740 49996 90997 40690 73062

76063 24841 77021 90894 16615

85552 39430 08275 29116 76537

73400 98752 94428 82470 70234

41227 45475 89941 82220 08842

66320 30514 47330 42274 93579

00073 79317 11694 06965 89006

19931 62537 55575 41981 08748

87074 08966 20423 48407 68906

74563 92361 75481 22882 22919

33982 03375 06982 00338 60557

95867 32783 17767 06580 69379

09816 65864 15555 43592 80089

13779 17566 55197 55767 30887

96515 24730 14411 98243 03526

06581 66943 72967 97927 81196

78198 10415 16231 82188 84332

72217 51940 16252 86297 68166

36602 57329 94716 80613 52102

35220 00526 97050 74475 93497

37659 02508 02161 82227 82576

06123 81274 09518 38568 99416

32472 45765 64687 06419 90828

41937 54184 53475 57677 92683

64203 ,17781 64522 40751 98591

54748 28150 09088 95562 66008

89617 19797 18631 16868 32211

63114 46266 86924 42113 16959

48797 96322 89434 67288 17497

94761 68684 54663 56219 14889

22523 08100 38128 66588 06899

77245 32835 57649 06567 40270

94958 53811 06706 05420 43164

6471

G

84933 35061 22454 65854

18339 99156 94403 32952 27225

82150 89664 56067 07766 90242

71143 09316 84551 48576 04613

00944 53807 43766 59023 77152

DIGITS

76187 51649 G9036 04387 43933

44799 33555 05868 05527 41848

21693 78499 77459 732)4 50062

89275 10818 38111 87939 44211

84445 77205 84394 40760 73845

44264 62994 23179 86523 35982

12518 86926 65650 14931 57011

02420 57224 07061 28379 2)115

65329 31960 22771 61051 03459

21882 77019 79658 47396 86300

81683 54726 46546 95474 54716

44776 41489 12313 88860 09769

99417 84362 36977 56369 33825

13830 51094 31691 97311 47805

95406 02098 86244 47511 92035

73327 08371 99302 13947 18310

19485 79705 80566 50682 96893

79302 54240 24684 30781 OHIO

94316 48751 43521 95198 95046

11998 42525 51396 77505 85222

90485 99587 62608 73296 11785

01961 57961 65696 97895 34882

16906 95057 64678 84564 58282

21304 54385 57337 66048 41470

40820 92984 23197 14041 50563

28696 06354 94094 43299 10142

00286 94458 84907 43064 89119

15864 14293 68163 50903 35519

40420 93463 00800 72462 56395

83136 84292 30992 22657 93321

02741 25523 50508 03878 62175

39667 48890 38895 43131 11725

00971 96152 59703 45999 66196

66646 19522 92783 06648 374 95

54913 04257 20390 70620 34744

77875 53562 73074 68772 17265

63881 77361 50224 90595 94544

41668 61055 121.13 41145 33638

97243 07806 86319 56303 25722

35570 07168 74833 90074 40452

11072 03346 07911 13655 47458

90785 42384 79738 90052 02784

61628 56409 32917 81762 33800

86475 00593 52298 73492 48076

20010 55845 23310 24208 17860

62172 19370 08400 77516 80402

48489 42531 46612 62830 18599

77855 53633 48039 14134 68254

17620 05044 83303 38751 74867

34989 00924 75152 03837 81996

G-ll
98

TABLE OF RANDOM DIGITS

06831 96252 31779

27898 69882 64019

24904 58171 13871

89377 19670 05642

68347 94073 69418

37362 10657 30353

18394 69196 27019

21118 87103 28468

72092 71887 49109

38508 96133 90349

10830 69091 08241

03284 50134 04387

59513 35837 46135

83284 22117 98269

28633 74369 67856

70564 17859 34684

79767 91568 Q1829

51339 40972 81840

92G68 77129 07083

86078 10011 23017

57516 33747

39268 60588

75711 82466

48817 14059

08090 69146

23561 85971

23013 91122

17388 59294

78371 28385

65182 72610

55368 14100

32794 67872

93934 48600

33249 37997

93142 22835

54096 83219

86772 63897

34028 97995

99224 17222

48806 36559

96947 64653

64208 04451

42406 33938

17682 89917

05984 30315

81910 01465

39518 98704

24524 30021

07701 33187

92150 05739

67765 74112

22564 50040

05855 02164

00234 25133

98118 71680

39302 64683

02982 13503

53872 27988

29658 00175

58387 81275

04755 78939

38916 03129

76087 79901

82251 11028

98250 26658

38852 56056

15G51 92455

50467 4G033

76233 62364

07000 G1530

57714 36082

24227 40195

76694 01622

95991 63797

73003 10659

64260 62543

16313 30365

33534 06819

62766 26166

28718 52823

47928 25269

98807 63587

82822 81613

69167 21525

05185 07689

48825 56146

05209 57436

29832 70231

24591 35234

57410 03567

44661 51925

81638 15428

74386 26018

07565 49325

04099 57757

95388 20259

28033 5.0836

77575 71142

67827 88394

92390 37895

34888 84796

90039 33356

49755 33329

82521 02331

63587 88638

91833 78352

37352 64350

44649 12306

28025 12444

09973 35046

10900 20721

61483 16991

57474 87900

39089 36203

78861 90887

03437 60288

60525 78336

83492 66904

54482 55713

99285 59135

42939 14792

50222 53976

05879 88394

04531 41654

28325 42983

39554 52239

33376 93929

96077 79507

08884 10437

24486 49071

04791 83512

41173 14877

79774 99563

12328 33723

88140 07208

20924 88534

66941 26823

35977 52543

04665 76107

11137 64692

72315 04347

62300 57453

45412 31415

11273 57294

82529 62334

44200 12426

09494 70331

06171 39750

52077 27402

11135 14382

60285 61376

23910 31528

34055 05896

25421 78775

57965 02598

68706 14510

76362 99969

16S66 44818

20898 28709

39405 48174

- 16077 92751

36325 28225

50918 28786

38625 97558

43613 52850

09311 01939

20810 03834

49340 47646

48859 24720

64766 71131

99167 88659

79072 26097

73684 70620

91221 24353

76309 48330

34087 90000

44999 40571

13091 27754

50790 60307

01908 12630

78733 43658

13940 45965

43951 55925

26579 38440

82773 03G84

48964 62341

69104 36G12

66180 80649

9219 4 15167

90667 23G26

98420 89517

46535 32736

70004 46840

10607 19187

89800 35908

45661 08168

29434 82946

34466 81721

97824 08008

14121 27827

70801 42474

97545 02971

50650 90034

44706 45433

75896 77513

90539 01072.

74452 40354

85952 45129.

70042 46466

59856 05918

11545 83261

33873 54328-

66090 51554

70167 96943

78155 32843

05749 45215

28747 31626

08538 69998

49469 89057

94851 11508

33617 30832

48719 25670

26498 21037

60670 35342

91264 77936

07900 73540

19446 74690

88593 82162

85075 39935

16171 18874

95853 77314

61549 36957

36356 44S26

51046 03SS7

26S06 53635

53454 05451

46798 40145

02547 22140

99322 S76S9

72881 40503

G-12
99

TABLE OF RANDOM

40681 27353 22597 88915 79178

89713 63020 45133 71152 54318

94563 84957 44619 79713 09949

43027 68321 02813 47446 08517

51194 79763 80567 62318 21541

67373 65291 63392 50049 64763

13011 44976 94731 44841 58114

75053 10760 56728 67907 73573

00416 07842 61398 82483 92684

08104 19067 07653 11476 57271

03614 04739 91340 60151 25949

51781 71407 97071 01707 52119

74840 30355 24811 91014 44450

17855 86540 13831 52245 61860

01207 28820 12109 62958 47884

29475 55575 37654 91091 33918

87008 92552 81623 12154 48696

24644 01087 32311 77807 56658

46326 03892 41967 94372 32998

35039 82275 32560 11945 50878

51940 44169 83459 88888 07752

65375 34741 99245 09156 82529

93919 72535 35297 33351 69774

32641 23240 37301 36135 25186

40131 51356 32702 75474 84559

65093 45655 00947 97180 35175

91020 86594 87835 53859 50205

89051 71343 26912 15341 31012

66627 47292 87259 27395 34567

07313 43774 88701 56132 36069

13840 83975 89909 88547 08856

56422 38011 10458 65809 15295

75812 •82841 99809 33958 03468

78396 28235 26532 83318 77096

77050 98159 56449 08000 65445

45534 45029 84611 04753 49955

97612 39593 89037 03471 76022

95835 42224 66513 35514 19282

34916 94718 93210 03218 92353

46632 41268 35295 93493 61016

01487 64386 02269 15196 93712

44214 71437 59039 12657 80005

90468 99815 78139 69224 02220

74232 24251 70330 91262 09355

92253 94384 36540 11770 76555

53662 22108 08697 50312 91726

15458 76661 02770 47195 68630

53020 68646 01282 42227 39343

2825G 03-111 92796 77002 07332

87490 35299 62241 27197 04170

DIGITS

81568 96319 51098 71270 63812

33657 45481 41509 04687 33262

65244 53466 55985 27077 81993

28803 96663 86674 67775 55543

41301 24034 29986 79315 61613

77384 69945 86642 49238 31727

02487 68308 63610 64436 79719

06858 89809 12729 13637 70054

53713 96476 13096 08892 29976

28172 20924 86795 80075 74483

13799 24239 37699 61160 65534

71110 83590 03030 00655 26829

53425 76329 88396 25471 24939

99428 74067 55408 52533 50065

88218 55819 09726 67161 38420

95562 68096 03709 34564 53896

96053 47245 69520 09495 97197

93684 33336 01512 39831 85626

58406 24326 88509 63328 21618

87600 66917 92413 00939 75858

23211 26260 08693 29368 99956

61952 83897 09931 76427 69486

61954 52808 51707 61318 15122

02274 25956 08937 31372 06943

53634 28758 39890 72112 15426

46277 19665 24873 75652 72560

22739 94579 69359 17526 57074

05179 17404 23642 30470 35331

98159 40764 95925 13833 63765

16027 05491 37788 27276 57333

37066 42128 07117 10909 68721

99155 01271 36612 93163 18865

98967 60237 86604 34209 87042

3S217 99285 32993 85093 53164

38130 72304 32656 58223 09172

10020 56276 90596 89037 18424

08527 21418 56626 24739 06594

86647 84339 33670 50372 38939

34164 55546 57339 89379 94C90

32761 10767 22685 50950 78485

61311 10786 18485 81751 28908

17106 78632 91223 82971 78688

59965 69932 79094 04080 66786

68912 96661 67153 13462 2994 l 77366 83318 75211 63624 32330

37906 10009 28915 25505 75795

08611 30428 16774 55857 73 I 1 72195 32849 66381 88405 875 10

05353 45197 37779 89154 38303

36179 59465 39318 01340 85298

G- 13
100

TABLE OF RANDOM

77365 84989 17521 86996 40216

98564 09578 08118 11418 42906

37171 91202 13275 49335 22201

00487 70218 83995 05943 43636

83115 05326 40730 17580 37854

79092 71196 44676 33512 01394

86555 33377 40446 57482 58101

93351 85950 99349 11620 62284

77773 19056 25171 18153 59858

76172 13078 84800 47831 82640

91260 90776 06058 42048 48396

89420 52217 44050 86788 46110

08916 58309 95173 47126 66805

63352 95840 49426 31106 26577

02415 34941 23716 59285 75770

34367 38621 74880 85545 47343

35893 44454 79677 08449 12614

23779 16329 55800 02894 85378

27758 86488 00731 24755 13278

26314 47193 73823 63567 62403

84758 66959 40133 78418 60601

88548 80290 36501 07586 31538

88657 43247 42762 39627 73595

96504 29518 41121 27162 41884

69659 67267 11682 64014 16S65

24976 56101 61342 33229 84141

49443 25755 35350 82605 09294

43174 84438 58429 55583 18290

15378 84917 59806 93088 43400

02761 77455 10139 41627 92S00

99323 87911 42880 08801 93694

68112 17668 69472 43554 66423

52709 33577 43011 55471 96038

28178 81438 03102 37690 44973

23042 05483 65965 03410 22330

94292 75630 73995 08657 04090

44200 88766 51670 30853 70096

41949 26318 85345 82316 47684

77096 45556 98245 41062 45512

64554 70172 95784 94559 56008

77870 10750 59312 20509 84899

84475 42203 41706 78431 51870

28460 69216 62943 82915 46264

39485 15469 00253 81603 64997

75513 78863 31309 00303 86477

35914 77883 12256 14994 95956

02840 55140 50096 8 ] 5 S 8 30186

34617 36056 99441 20370 76848

70620 16369 93716 18983 66488

70445 63247 35139 47988 28356

DIGITS

38060 22038 50035 54179 99247

78422 47268 88311 82475 95915

62982 63361 20829 66849 36574

75253 22841 62327 24613 64369

63229 93647 92765 92632 23253

il927 22321 90070 38307 99723

26629 12257 00015 53614 32100

33313 93210 92284 93675 88780

13337 70529 67141 76775 39334

02881 18501 15704 93947 66994

829C2 69114 75762 94297 98514

71987 95231 96141 15210 36768

81178 63576 01825 18772 54169

40801 67358 37237 04742 30815

06360 49221 97070 20811 93055

02245 62915 46770 76906 30021

21128 37971 99205 27334 50597

78085 61601 85516 80368 16427

87658 -93411 61897 23215 43797

53768 83621 16593 81942 19120

57108 44953 55535 47182 •76583

62513 46903 05660 59653 95970

60282 53768 72987 59165 93598

38587 37322 11SS0 32383 28128

08293 64331 61993 86565 47534

71359 04153 29544 73101 27893

27207 90180 61397 21835 03109

77373 47873 41884 81234 06291

17930 30694 05331 93144 397S2

83302 32455 27882 21304 98277

93650 38343 64739 03637 12498

37308 20955 58759 44993 01751

86833 20257 84274 12632 77578

46333 37079 81345 47852 40187

00437 77864 75060 03518 14S69

67839 36670 42546 47662 85563

09340 60682 56796 39238 82325

11335 17236 11016 77153 39994

50660 39978 68238 66138 55839

13110 54077 63713 83761 29785

63090 78224 59536 85265 47072

47386 20719 40068 47075 07306

05619 74543 75570 15802 87269

55681 95636 07712 2504G 11466

05800 78575 44646 04731 73909

C4968 70782 69739 59711 25704

46222 22502 71890 63559 99159

72598 264 87 84515 61891 84437

4 8841 20819 75031 52307 05976

04077 63015 04896 13C05 34246

G- 14
101

TABLE Of RANDOM DIGITS

61721 03748 38841 69166 03752

98963 01854 20841 52865 31500

23932 43062 33464 15924 24387

15671 70400 88477 85686 93199

73782 89043 22541 79933 57728

83102 95333 74207 71472 52329

46384 82071 00261 22333 43136

58386 47279 85564 56751 02884

31677 34913 92024 95851 73195

90341 27029 35388 10015 54091

53694 56321 51780 85766 24303

14321 34850 57577 81552 88279

05124 43526 80602 0843] 39622

04292 67049 37226 77648 62162

09273 84395 97382 42955 25730

15183 69840 80256 57175 06706

88721 47483 15683 85491 46116

43140 44368 16104 46863 53687

91908 49963 85656 41706 18596

96335 20856 03851 47753 99980

87866 14100 55056 01560 58002

78236 79903 57595 30611 49302

36780 08641 20571 13793 09612

18366 06852 71154 94608 70392

45576 91644 74141 23815 82267

89567 21054 47503 25472 75618

23892 65090 87940 33934 31962

31487 44209 43610 01733 05897

46686 41250 54473 98489 59263

71833 75595 31835 08056 46018

72439 98123 65087 40454 51519

77297 37843 69199 76739 18081

33099 33358 55914 34239 47499

95151 61859 09679 83413 91905

74862 50549 49476 62215 87910

10078 82651 08775 29037 36499

56261 21774 62041 84210 04967

06678 84070 69595 48871 86757

34845 41877 95482 84017 32677

80515 53345 11650 03594 64422

32368 38947 68635 82913 60872

80379 42553 16780 91837 61799

72433 90816 97471 61115 17983

87540 87245 61508 31508 36613

92059 84967 49256 33531 79632

12060 41495 77722 23111 04569

39434 85821 57004 00302 24395

49351 81841 20972 12359 52778

87831 38161 72475 26174 54460

25764 17666 45682 74833 92963

51219 78247 70734 10493 25093

09283 07363 71612 77927 61691

75728 31074 53262 70995 42071

11089 56188 53946 30159 59234

87000 97222 97795 16128 55709

37785 52626 28600 13567 45016

74270 98330 82464 44016 03638

47595 53203 37306 69859 22351

55542 52537 17487 95617 64009

25240 28245 51638 55394 00151

91130 08054 93015 83580 78969

30410 36607 00387 97499 10178

90293 58612 37471 28521 98765

92421 33333 76923 38256 78580

55790 91405 34801 64616 44550

71873 79425 03789 29375 04018

03661 47229 63104 29262 61523

53452 78524 02933 56326 83043

42334 71506 69013 64856 48793

24449 39005 58497 03063 68636

26742 43174 30123 39842 37466

87218 77848 38069 70385 36871

27066 20227 50363 44940 38920

04956 21448 09296 19038 615S8

23271 81891 31523 20613 46854

13071 81465 31184 23883 03637

59572 77446 83552 31265 38746

66428 34733 44085 58254 37004

22269 45986 60634 51370 17736

99133 90402 28771 43275 34353

56816 30889 15487 81497 75570

58820 85890 87243 84176 35053

14384 13438 39943 86175 28198

36927 18890 57426 28948 02750

43389 28230 64566 36542 10223

33125 98741 71329 21150 07281

23023 88794 40799 96828 01518

92546 81373 54006 67649 56869

11746 69577 07078 12507 5 8072

97801 26586 82586 54101 26852

11703 40814 67598 28132 64838

70339 45738 71862 56776 15540

26639 45691 2410G 42228 004 93

00978 03175 34398 14783 881 5

• 66030 15062 01204 23499 32555

70487 87652 27892 93641 51367

G7592 50929 27203 56495 44117

14954 28085 908 16 75750 72350

45191 88378 7890G 579G6 G1603

48400 13993 70089 69582 82222

G-15
102

TABLE OF RANDOM

26437 80025 68310 83961 94972

69541 94346 81840 32370 25073

51989 15674 90358 34235 61877

65898 34643 4G340 07789 14195

61946 15619 41994 19126 79120

26191 58514 42860 57235 13474

32411 39136 58948 60268 99980

64051 48551 64819 31103 49883

47127 02361 38690 70982 29182

39329 05966 85612 37608 56042

42828 19215 93119 74749 01231

80874 41559 70657 00870 33446

90700 42746 17453 07672 63371

22966 26175 15085 40523 28129

23185 09653 59384 54389 40749

19215 35070 48941 81116 75687

73472 47371 80840 87165 01834

52175 00848 56107 33893 95933

86051 97054 19618 14530 89367

27156 24240 12949 53482 82244

87998 56428 79586 36404 01Q07

85669 46650 58994 33647 46647

72948 48729 73049 80584 47339

21540 36102 51421 11801 11312

10561 63356 51047 34639 09604

74956 08278 00668 48373 85984

65867 59252 81216 25148 56346

82246 24061 78800 42684 94854

43654 12830 16350 56222 94356

73611 86402 78501 21602 96956

52567 15912 21393 69577 76935

50320 89614 49467 38904 31027

03104 14551 42975 40220 48905

58228 39598 51245 66151 59983

66624 52596 31664 89494 30520

59329 92875 19662 94247 27551

27090 08032 58956 52673 42640

43337 88990 66282 52586 98011

64398 88518 37040 85102 15091

24318 18295 38575 53256 87648

58004 95558 76439 94755 27424

55007 48908 54214 58152 73361

30257 96593 06269 70026 97970

69056 32439 09380 93591 30233

72705 98991 08381 34348 01119

87729 35885 64989 89065 34309

70255 49084 73091 12425 40711

89559 81801 835G3 980G1 73902

43423 81125 64492 96563 18382

66858 41507 53732 93995 68111

DIGITS

15323 72315 71272 28132 54926

32979 45546 37772 75378 11422

47304 69369 41499 12442 88491

77031 94179 76270 46504 04596

28489 13988 02027 30324 97010

07138 13510 41715 08805 00892

17465 42040 49687 31346 42819

62627 81967 38604 68547 96808

55610 49353 56290 60863 64983

38353 37995 59683 00731 18332

43201 64648 15674 91649 11914

43475 14629 31571 80282 89053

01001 89043 83404 07292 13587

18961 59020 34377 10435 11318

20996 17178 64876 78199 93162

39424 98603 35416 80076 50499

64836 85357 16813 04063 35411

78114 71504 44275 28933 17598

44812 67239 81440 83040 22263

56538 00025 57788 49861 26344

80414 81540 93191 81564 14721

95550 95293 35374 00024 03356

61586 31920 94022 13529 44566

91129 05602 96582 58783 33707

61804 61413 55300 83284 28188

69808 04818 44925 83510 31342

20317 06429 04568 08591 54958

13041 27643 65513 73024 19866

41992 73954 19394 36346 99028

51555 18508 312S3 56948 64203

28055 93910 80495 48749 74114

94219 94105 58822 03309 94930

85275 35319 46262 04313 64939

41783 61760 11584 78088 10077

71663. 52906 79316 57414 97817

93414 99318 36369 85615 01150

42215 63610 37716 47706 33887

47748 14571 55132 98953 01724

31282 81875 82755 65581 88838

18675 68553 86497 83240 86151

92032 24447 86028 58404 23965

68394 83714 71766 11334 18851

93436 82123 06026 98997 19558

22169 72085 8898G 24298 80625

64586 81159 69887 78278 74752

99902 44016 00553 16017 96010

21213 35389 49504 44067 28793

76354 39S79 14777 64156 17614

09479 68388 01048 72345 42563

55100 64316 39013 32661 14126

G- 16
103

TABU OF RANDOM DIGITS

23930 04508 62244 35048 50242 67999 31536 25407 71989 45433

76128 69326 37504 75663 63223 43107 70135 10378 25207 30192

66520 29819 17478 56335 99276 92993 88457 18868 31188 41704

50626 20047 80318 92908 49020 16209 54947 20890 60384 32642

00692 11580 38646 09263 76877 05817 36856 13889 39609 55619

09979 34936 58781 30207 03578 22544 97243 55121 47763 61195

35083 82010 24906 04993 46431 41556 02842 16480 44772 65857

56834 11647 47412 10572 55006 78730 58522 66328 42258 91830

37013 23432 90997 73642 14550 51046 53319 51538 33494 74826

19205 64255 10816 06173 56554 41501 47109 14426 28435 57887

23344 07507 96976 48154 34808 28032 15431 28988 76876 45657

67901 03113 19937 54883 25893 91665 36071 66144 39757 97250

61769 41018 13717 67506 32708 34848 65378 43245 87766 56871

77088 87453 04413 30695 69255 20314 23215 99511 84106 59064

96232 51504 53689 76181 33408 69036 07589 74822 88940 65460

13738 24068 02481 10387 29920 74600 28080 75677 70120 52635

92218 25408 54086 32515 35057 92867 31816 86812 99924 16795

94886 07353 15406 50642 92785 59257 34168 98153 28959 30017

20527 69166 80257 83628 72616 91592 85581 67641 759S9 32625

48816 15453 91191 25441 48827 90870 16846 32853 57113 76232

57916 36540 48876 24557 94154 74998 21646 08l00 96762 54421

51631 88447 43773 49579 42127 85113 63840 02946 26197 182G8

48501 25356 64351 53802 01042 04500 41752 50272 47869 87046

77281 26539 49593 44291 30014 42832 78505 19022 48837 07545

79287 83125 22088 83259 28143 61286 87926 14350 22476 63834

35196 81343 6S565 02702 36712 97281 20012 41738 86025 77694

83317 90112 93949 49559 09920 90831 75864 52587 23624 34060

93588 29091 50338 02219 97553 75374 63667 94437 83366 28132

90384 84218 25670 91824 04963 06594 70740 57504 24616 74417

00774 58476 01209 56541 64937 80996 04156 27801 70923 31497

70484 24645 50762 15430 91115 48699 09595 55122 11918 33482

36071 66109 17267 28105 63786 21373 37358 24697 56603 67418

95880 51665 89278 42437 91040 S1053 79349 18214 40130 49031

89442 29442 59700 87168 14045 73824 91945 07276 35416 85776

73187 98680 81961 98681 653C1 84131 60475 18786 78258 17631

13497 95157 50069 433S5 87718 51044 24251 02261 81792 91891

12561 99033 53230 11211 20685 15939 93411 57289 00048 37763

94780 81716 1S045 36600 82148 00724 63963 49418 12463 14246

87633 82307 51079 78530 007G7 22316 71326 50810 69267 67190

94324 25247 02977 79492 35727 87555 97651 30440 98015 91648

12909 54789 99445 31740 68137 14130 40593 42443 36383 99755

25781 26751 46328 49251 70727 77363 80826 31876 06019 57262

92210 18463 27662 18257 87027 77851 15603 18574 30742 65091

84392 93948 64429 71724 41328 20478 20518 38000 44084 81 870

49969 24028 18581 07574 70122 94993 63242 75960 46855 7G179

97371 03322 13236 81729 94425 27380 91797 40621 00048 22858

81498 08934 00375 44786 82428 1284 2 30514 77783 97002 i 73 l 44151 94920 14 290 96262 4 9573 09113 22271 275 19 87724 09543

88498 00338 26288 63688 67312 82285 02392 96123 44 800 12062

43279 25288 06209 91206 74234 52353 64708 76276 40513 4 4461

G- 17
104

TABLE OF RANDOM DIGITS

08046 36409

09703 09718

11991 62233

66581 44108

39620 57106

87769 39700

22800 46020

31671 70640

19740 67126

98477 29360

44162 23558

84646 79401

11517 26546

23723 69366

50462 22377

16143 15307

03846 93854

05481 18913

14909 88639

07291 52235

13324 85026

23411 99184

98802 50684

28060 15375

47301 25731

61764 12059

41843 36863

34437 51523

84817 89509

59605 17571

89635 61029

48096 83826

33191 88105

28362 10330

92725 44352

28601 58253

53565 80880

14142 23014

35625 08967

91469 95135

39610 00784

22675 39720

04343 03434

72636 92860

10301 65954

28438 12095

52538 68238

57042 12043

93696 55833

59275 56115

00307 76848

15150 12559

43666 41823

02334 73021

77728 21112

79880 99857

83366 17999

66957 59801

39432 17914

10322 76444

44486 13991

10932 84684

47561 37322

20176 77793

80157 94845

50265 76233

13457 40936

85765 73483

21584 77470

24020 95439

98436 69226

68997 75425

82295 12312

29832 71902

95695 86757

32220 76922

24696 13344

82974 62369

92780 01660

54922 33311

72451 90971

24547 82738

03651 75057

85125 41800

66605 15579

63801 49976

61494 39794

84170 89253

20656 76386

40981 32231

49950 60606

34632 11489

41010 '42467

90188 95428

08799 77258

22965 33139

89072 73444

56241 84032

27957 53862

90556 41624

06544 73800

48601 18018

60781 08689

37012 10019

96576 28880

27086 30022

53985 84182

99430 47260

85577 17764

75864 09351

62924 24284

98562 03080

79761 69868

08578 25986

65096 75214

77579 91011

33080 99793

36367 29919

29496 77953

74311 74301

42324 89429

09422 86423

28999 21845

90558 48449

07810 20140

14569 24160

84575 74705

70442 43052

28742 25154

14841 01759

31358 45762

91475 04419

12095 65696

36654 65721

18521 12846

39196 44522

68559 14620

38625 72945

66912 53757

89218 76965

34634 11531

28191 34920

43959 24762

24552 26271

42124 90038

37335 53079

66299 20081

33035 98671

20616 08143

90476 45777

24015 79070

48673 03361

20251 28101

88727 00786

37852 59924

20492 39242

42750 20850

48890 34388

87392 29767

97059 49260

57169 12474

09604 37234

64789 32920

91271 31977

15480 32292

79907 01952

06852 70904

38701 32250

87597 48164

88185 13537

55120 81504

24390 72157

50568 70866

00879 50989

93917 50656

00454 23428

41441 92740

13488 97462

48462 27592

16133 56442

60531 68531

20946 97051

95553 69333

99671 84159

91485 26744

12874 06277

20068 19067

89638 33247

90431 91558

99074 11543

68790 75934

65463 30600

96636 58251

32555 23412

43715 80636

69930 66076

50734 57896

16065 30554

90574 33788

02888 60316

99794 27796

48382 09514

02735 08872

32673 97938

23410 50693

30230 51684

01601 44892

45216 59786

08111 65098

04091 70727

83105 51730

18721 38085

73246 07933

55813 74212

71910 85616

20705 15996

25382 94252

G2122 98417

75404 70551

31696 77981

59984 46071

24342 07676

39934 27109

57179 07476

34408 47343

28188 29120

27584 49771

14572 37202

52773 73471

40009 54067

66374 93852

87105 06788

03015 18570

34817 84437

08468 28975

97803 02422

92101 23120

16890 86490

26154 59669

9] 372 33612

78933 50385

29353 33312

529S5 43897

89296 99236

90786 20574

79968 78530

77313 42102

12228 04807

85343 65949

79013 88325

G-18
105

TABLE OF RANDOM

22719 92549 10907 35994 63461

17618 88357 52487 79816 74600

25267 35973 80231 6C039 50253

88594 69428 66934 27705 51262

60482 33679 03078

• 08047 39891

30753 19458 02849 30366 83892

60551 24788 35764 57453 06341

35612 09972 98891 92625 70599

43713 18448 45922 55179 18442

73998 97374 66685 06639 34590

14971 68806 49122 16124 61905

78976 48382 25242 97656 51686

37868 82946 73732 63230 85306

01666 48114 95183 02628 05355

56638 70054 19427 24811 37164

43973 07496 17405 08966 65989

05540 72301 36504 00137 90375

95141 07885 94399 41145 50210

75954 68499 42308 38387 52363

97905 05301 98496 20682 68082

23458 57782 67537 38813 00377

03954 14799 63187 46191 22805

52251 06804 85959 20974 73104

62361 59105 39338 59358 69193

54954 90337 99346 60442 90933

70773 03331 84228 01405 61494

68702 08331 08923 83173 67081

39599 33465 96705 41458 34670

54958 34935 16858 16523 54262

98124 08864 36485 78766 52802

43099 88373 80091 35058 35755

88667 44515 80435 17140 32588

87009 95736 76930 71090 27143

70581 40618 16631 54178 44737

03723 25551 03816 97612 99833

49943 30139 07932 29267 01934

71559 30728 83499 65977 37442

75500 16143 79028 81790' 57747

59894 59543 13668 27197 51979

29757 26942 08736 15184 73650

87650 08162 90596 70312 84462

84094 70059 86833 23531 31749

92301 17194 06003 99847 12781

26641 990S8 65294 37138 75881

04920 93233 46959 14735 15153

25417 97570 91045 09929 75140

98874 96989 84371 87624 74090

82127 82000 84618 58572 56716

26311 59516 98602 47197 31139

76176 03499 17999 84361 63898

DIGITS

83659 24494 53825 97047 79069

50436 88823 19806 33960 30928

63457 97444 13799 35853 03149

63941 77660 66418 84755 29197

34068 81957 02985 83113 36981

80912 91335 41703 79401 97251

10178 91896 70819 46440 98356

95484 34858 13499 28966 88287

31186 91047 37949 76542 79361

17935 79544 15475 74765 11199

22047 17229 46703 39727 16753

15537 73857 35398 91783 92825

56988 15570 98029 42208 00190

97627 74554 91267 31240 34723

71641 50515 88231 99539 75745

68017 56975 94080 93689 98889

22891 22205 27777 84803 39220

92423 13303 09621 94153 18691

64563 02843 45577 93125 25294

68537 70220 78282 02396 10002

93873 97813 10039 25457 28716

50502 08810 19572 48024 58206

15009 25485 09306 24721 04187

15586 57695 89518 59788 04235

58323 83183 90041 44236 90815

72084 24713 39851 01431 60841

87472 47980 08802 95495 78745

55385 25484 71068 15155 85371

63310 50348

-

53457 39440 80411

56315 43523 06513 50899 86432

47556 98602 71744 70442 92312

98708 93010 98590 23656 85664

95229 24799 02313 17436 20273

02544 81368 08078 46740 52583

06779 47619 12901 60179 23780

19584 13356 35803 90284 97565

72526 53123 99948 59762 19952

37972 54981 10079 17490 15215

38403 23989 38549 82968 53300

51130 59167 89866 06030 88929

07653 80962 96692 07030 62470

23930 04763 89322 67576 38627

38729 88072 92589 61828 36504

12627 19461 69536 64419 82306

28306 76351 28109 86078 4522 4

43926 90282 99088 93605 03547

71983 62424 62130 44470 74 7 5

79862 5989G 50702 31938 18336

2763

1

64619 01504 77617 30219

97861 63620 23931 87903 9 3 566

G- 19
106

TABLE OF RANDOM DIGITS

13962 70992

43905 46941

00504 48658

61274 57238

43753 21159

83503 51662

36807 71420

19110 55680

82615 86984

05621 26584

06936 37293

84981 60458

66354 88441

49602 94109

78430 72391

33331 51803

62843 84445

19528 15445

16737 01887

99389 06685

36160 38196

05505 45420

85962 19758

28763 04900

42222 40446

43626 40039

97761 43444

49275 44270

15797 75134

04497 24853

95468 87411

01420 74218

74633 40171

46662 99688

10853 10393

68583 01032

75818 78982

16395 16837

53892 15105

66009 26869

45292 93427

34033 45008

13364 09937

03343 62593

46145’ 24476

37703 51C58

12622 98083

56043 00251

43401 35924

18053 53460

65172 28053

72300 11641

38051 59408

47267 35303

16239 50595

21636 68192

35804 44862

18792 41487

03290 87971

36493 63013

55875 71213

16194 92403

96191 04794

36460 62353

96973 70437

15934 75807

56652 91797

77764 33446

50934 43306

45945 62000

77705 28891

44016 79662

92795 00458

54460 22083

82240 79159

51492 36483

95895 24102

52512 03951

39856 73527

43879 07613

30647 88711

71047 14401

97092 79137

59576 04887

03013 90372

67938 29733

24258 93051

00538 57133

40963 69267

91829 65078

92326 70206

41621 79437

00535 88122

93332 09921

62507 19530

17420 30593

17689 56977

70085 28067

28308 55140

32125 81357

02190 83634

43548 30455

16508 82979

29066 02140

62509 61207

84294 38754

23577 79551

16614 83053

60022 35415

68181 57702

83025 46063

80951 80068

14714 64749

00721 66980

97803 78683

46561 80188

45284 25842

41204 70067

75190 86997

76228 60645

12106 56281

92069 27628

71289 05884

89279 43492

4416S 38213

70280 24218

07006 71923

21651 53S67

78417 36208

26400 17180

01765 57688

74537 14820

30698 97915

02310 35508

89639 65800

66012 70305

07686 31840

92002 63606

60867 39847

86816 29902

84755 34053

42003 58684

00812 16749

20852 02909

49510 75304

74665 12178

47076 23310

43097 83976

82554 90270

04670 70667

78984 29317

96246 73504

33354 70680

56561 79018

87750 46329

86222 66116

50002 32540

37963 23322

00066 40857

46839 26598

14596 04744

04800 32062

73531 70073

59510 76913

18880 66083

60665 57636

45248 78007

36305 42613

69481 30300

88532 71789

66761 88344

03261 89199

41078 86326

50968 96719

23395 72640

94582 29215

09271 68396

45347 88199

99476 45568

38724 15712

10741 58362

74899 87929

83281 72038

12312 56299

58912 21883

27971 16440

21631 81223

66664 75486

34273 25196

46544 95665

39626 06080

19848 27319

73243 98185

86568 49336

29983 67645

89336 35630

41425 66862

45542 22831

22499 68467

02196 10638

36070 37285

65911 38583

87251 75608

94047 57096

59964 50681

52947 20134

87950 13952

25294 20941

72584 84576

88307 92282'

57149 08642

17975 50063

67912 97670

55304 43572

38408 50031

80220 12139

67364 72416

77086 49557

80435 24269

20498 35645

71176 35699

02081 83890

89398 78205

85534 00533

89616 49016

15847 14302

98743 84455

47278 90753

25306 57483

41257 97919

39637 64220

56G03 93316

78135 53000

07515 53854

26935 67234

10551 15091

66944 99856

72122 99655

27130 90420

14200 97469

60043 30530

66769 94729

23542 35273

98115 33460

02290 40357

45486 03698

79858 52548

18138 40564

23023 70260

78460 47833

G-20
107

TABLE Of RANDOM

42013 25126 49296 38839 98092

66261 56987 46342 70656 04614

99218 43326 71220 47549 69609

60246 70506 12969 83611 57725

36193 05504 57510 24880 43433

00531 71458 96341 59955 54799

74737 91290 58472 75246 44996

53061 21680 80352 70951 15425

08614 40071 68920 64920 23340

96656 96439 54118 52156 52621

62095 88876 35524 81750 08680

77889 92840 57213 80607 03600

16918 23456 81198 75611 25074

46268 35453 53423 93232 96635

55888 65437 40317 22775 57810

25423 35242 78919 09390 37512

89078 42669 . 29644 78077 72494

13192 42580 66330 68901 44233

70931 04040 92715 84711 50352

77128 77829 88384 34423 38977

37100 95870 34423 68405 52871

10308 26146 30767 59339 47405

01822 07742 73964 01142 16459

07393 92846 14103 35259 30109

50735 71154 23048 03035 08385

07419 04879 07820 33621 56625

50087 54480 86002 35638 98404

71772 45715 74504 54733 80412

45714 59014 12114 18042 90519

59220 80301 51824 76885 85646

10764 53574 99564 08495 80459

17678 48295 83757 65027 35491

25137 13748 72617 05969 41288

73983 90100 48318 64269 19759

99383 86972 98698 53377 78399

81463 95646 47319 48775 93940

47218 25488 68262 21410 61186

81340 41579 58825 22003 49490

87900 38409 86023 52902 65419

55171 74690 78509 82507 74217

72273 88384 07084 32642 58395

31315 92691 65161 01439 80177

14727 40472 08302 00582 81954

83748 71311 64473 73025 90187

88824 0G478 50725 76185 50468

15674 10172 11070 5625G 01G49

27554 23402 41542 24214 93388

37635 96312 73S91 16729 11725

07476 42396 95 670 49941 51549

66005 72644 19812 65399 48215

DIGITS

9G100 44205 85129 46749 47707

26422 32479 41453 82281 65793

05780 01070 70739 29282 98507

10209 67627 07864 05937 31892

20377 33928 54749 73464 40652

63186 22416 45953 94761 58992

62216 27970 50154 44759 77127

12816 51622 32075 85276 14589

05380 28335 25114 61683 57618

13824 59450 01023 11607 67538

17349 89230 03916 67328 28455

58153 38089 99100 73014 31305

48084 03581 64703 27349 74763

01540 07102 35254 17330 03758

31889 32922 03784 05018 37517

13982 05485 86728 34392 30716

16407 04518 27476 60810 25292

62951 2S750 39622 68054 11176

92935 37042 56655 97889 87259

88885 79735 22965 69877 98333

15661 85110 84313 99862 10233

18099 88450 98937 72828 61186

36271 07333 02936 50903 53965

60824 52938 31191 27402 55803

61502 23161 94518 63237 16715

85884 49636 57122 98079 14220

27118 02877 02755 85210 29357

18241 88087 40118 06232 93326

52413 93567 24945 85998 17555

16102 74986 65006 53715 19746

85802 76505 36292 40744 19788

46418 67883 72615 65192 84193

08094 72739 95361 06969 94802

81850 24789 55982 30526 22G76

75624 77124 78996 42364 04273

51645 60109 18278 29681 77883

89952 11764 79953 56457 95497

30865 37291 68696 04454 88205

63324 88553 23217 25332 21388

61944 45093 20674 95483 23757

87752 57079 29525 06486 47759

42240 87554 50096 89808 01816

46590 43884 17637 88473 20390

37261 3 S3 89 62432 31440 59825

38948 23682 11328 77542 86781

07564 38895 0 1 649 51479 G53D7

67693 29967 67-177 01991 12243

76610 39574 99565 36190 32008

07010 53100 48997 33188 29114

09132 25707 73C48 G0225 30702

G-21
108

TABLE OF RANOOM DIGITS

52534 82857 47299 48748 72888

88602 31385 63436 43035 10815

91400 63007 97273 32057 91951

80753 34577 58421 51026 28514

35885 86909 61780 30921 33258

93990 99581 70584 49811 43933

09614 57360 60566 71263 39899

06856 28724 93988 77589 22748

79287 76856 85097 14422 94957

63180 07117 50802 57008 72837

09472 93904 79062 09699 06683

15627 05471 52308 78528 25876

31677 96908 03890 21314 64503

65093 27865 69792 50778 30718

01874 79890 73607 21145 65168

70378 46175 35976 11715 13058

27728 79685 87000 81766 13756

39542 43035 24562 93335 00849

15083 24701 87498 56370 41122

38208 12759 03955 72612 18824

15282 40571 74608 54511 01418

36061 06128 71126 47235 87258

66755 02682 33789 88898 29899

36558 16521 10515 82211 47412

48090 82667 87063 61246 10231

63465 '99694 98810 44399 90063

96395 05290 86695 34823 17766

82253 29278 46716 17G03 16278

22288 14812 38440 61537 68293

35481 12317 84403 27489 14825

05628 23186 49976 51151 27859

23071 52184 85989 74678 20590

77886 44504 48977 07431 29133

99517 36561 13069 73593 96267

55302 19261 76761 17529 76210

44083 43083 43603 48769 75463

98302 35491 15837 75768 25722

56887 14082 29531 46695 63224

67921 91143 53255 79854 08527

29088 87873 31377 59474 68647

75682 95072 81979 08783 39007

17748 60659 16166 41789 99067

75168 24241 75997 82268 18396

75091 41347 29533 69180 76810

93673 57951 74687 75747 48063

69834 52374 59016 91240 18688

901 28 04581 02975 98263 59500

98G09 81140 50638 77S27 28671

49501 76986 33488 89038 45521

84477 05 314 10334 14684 25142

31705 13867 62620 68513 79149

07119 35964 30360 63656 60661

46330 12893 86602 03710 56516

06233 70431 42107 97639 90818

12960 84640 11301 05409 32044

14954 49446 70379 27056 95378

98163 43014 09500 47266 43147

32910 14649 52967 34718 90217

02732 73579 31711 52065 41789

88961 86536 54036 01747 59887

39134 22416 66211 31214 81730

82840 20825 22134 94528 53834

80250 90814 92145 73283 60898

32243 52658 83178 67131 95642

05079 55896 97865 93480 92630

69755 45829 86870 86083 32591

29480 63335 37586 03953 15324

57574 20158 04989 41399 84132

66845 35060 75773 07576 75952

70458 73336 17085 22792 20258

63856 60915 16317 60816 49287

93985 91898 29157 *53154 15095

03361 80922 66412 35269 15562

59691 15381 93119 31477 83235

39794 18043 04686 49861 88349

42883 40735 95238 44447 54255

89280 86992 56403 48722 89742

67634 46388 46708 48283 64313

68072 81028 50708 40678 75296

68187 86422 66783 00748 81409

53810 50390 21892 36258 76361

84137 25824 33136 56998 20918

31306 19685 45540 78390 39250

34628 01825 11804 67831 49082

13943 25544 59446 50749 55514

96623 84077 66487 06917 78976

66625 73375 40050 29995 30804

79911 69596 81584 80995 33835

13399 74312 58701 71350 85986

31290 64092 04332 60435 15943

64506 38531 09770 69281 78108

79611 16400 73810 00030 39514

35742 22967 65975 60427 04488

13149 36522 70276 69792 308G0

07832 99227 52971 09475 71006

84379 31381 99735 95153 94S18

96218 18273 302G0 04G03 41966

58102 92651 24201 25081 50459

26386 07564 31116 0G500 51750

48115 52182 04834 703G8 69631

G-22
109

TABLE OF RANDOM

77012 07384 73077 58917 90883

99688 96577 36515 53327 27830

20302 92144 50915 29248 36120

87101 03409 76898 41137 43948

81969 35233 89022 76526 43304

34807 08126 85164 30912 62625

80291 09797 06976 65531 94969

00849 40816 97682 40753 67140

34082 67803 78386 96338 90435

48144 36678 28842 99910 91250

71923 97743 68311 35887 84390

97766 61888 77653 78082 32839

18801 39524 79790 74616 77609

09013 01087 80078 15951 91875

13048 51611 74386 99985 44431

41789 61818 51838 46690 75215

58001 25588 78572 27581 72758

75657 91363 06883 63767 13608

59445 80665 88151 12051 63428

44889 04294 07799 67874 79841

81237 64397 68539 66659 52781

10679 50334 11422 02765 29241

58973 65467 38950 87853 16905

49234 68411 12338 15153 83208

36185 81850 31507 60906 23892

02697 19279 56989 81942 80964

55830 02431 93205 79197 74599

23957 75773 68884 31936 81490

06343 44395 4S564 42993 65735

39485 98566 02373 23953 30520

48876 74880 49887 86365 18299

13551 41581 09044 56419 16195

74692 76567 86266 19132 45849

29131 83732 75242 65232 08872

38528 48380 94012 44693 53843

45021 72055 37371 44018 98373

06474 23471 13782 32396 97506

83575 05580 81439 06635 02816

17007 74305 01821 41041 42674

37606 40561 54302 99589 22671

17936 91024 84985 03289 07721

34330 18439 69577 37771 6S254

69074 10171 17991 65383 51863

16723 63250 14038 39436 46531

97324 63679 10177 05637 62994

02085 54343 26238 58376 39827

56224 99229 54362 76943 13980

96214 94020 06341 78763 62643

67058 61329 23706 22885 44251

95044 15713 92819 23532 40332

DIGITS

74805 32390 45582 23330 69756

78936 03391 93326 41244 81366

11778 86G30 76882 41739 17986

86332 51689 07086 70734 05550

36463 83480 59540 47470 69287

53139 16842 09266 52532 46581

71925 26860 95874 35446 71293

09518 54907 73276 11899 98687

33261 72133 88780 99020 97004

19469 81431 72494 37623 22987

02619 02411 43127 51406 68460

10269 29426 55488 01517 88955

74732 61525 92718 25394 51080

76013 13021 62817 71591 97002

12773 90146 38524 22724 27506

86387 93567 37939 30734 19879

45851 25995 26819 21913 10179

42773 63539 18529 31925 28668

35053 01179 05254 •63537 42581

92780 71505 06464 76839 63347

60654 84232 53804 65075 27220

22632 91788 67316 68237 64200

90671 57147 30893 06623 41475

25784 40268 38287 73891 27376

59827 67797 62799 91022 79253

67913 08399 73386 94867 67321

87585 74438 83704 21945 15137

45020 55818 24592 84937 50474

44594 57843 70724 92870 32617

93264 31347 23349 38934 45635

97041 31641 05984 88948 70140

46709 05714 53352 19679 87224

02131 74225 04155 43997 62830

43279 00809 97046 28851 15337

24203 04579 95053 43817 62309

48304 90618 42059 97379 10602

53770 03116 51076 667S8 64104

51003 78830 02038 76344 89083

44803 36700 74785 25617 68049

34258 26432 06732 00600 93367

39729 45809 80821 39587 07684

90970 10173 35598 02336 74141

38535 01224 10097 14548 98917

29073 50638 25920 04575 7844 8

20462 61271 21702 84168 46679

35866 33967 79586 29719 47766

83508 22616 15S62 84 824 89884

83854 16712 91383 15935 82958

27633 82942 79253 40230 07629

49307 57167 24892 63015 43145

G-23
110

TABLE OF RANDOM

88115 59359 88857 19687 34108

28073 71035 12335 70915 34263

32924 78792 18933 91796 63082

79599 42519 05201 17045 39382

67006 80140 74512 12408 64096

53957 07994 42002 12668 50178

49498 88978 17442 68378 54770

18990 45671 72172 37095 63197

56316 57505 67778 56592 42765

90133 09824 25398 50303 93421

53760 25900 43391 18319 08120

24233 68519 57668 89044 21821

11980 81333 87078 85924 87322

72173 21019 66804 98240 86312

55332 133 84 41987 81401 08589

57607 25649 41487 81745 25535

69686 81509 19028 75140 03866

34130 16327 81730 80949 11124

85721 82231 09296 43409 80316

40694 73282 88363 23493 66853

28790 73555 39872 82425 67586

01488 66532 81455 26070 54050

95499 75165 80569 89454 25994

23246 93026 49835 68011 46709

54372 71661 98259 03429 90265

50667 67447 12042 93977 84144

39015 09690 22308 55079 46001

30848 98916 84404 69121 62466

03889 22848 43778 74537 75257

94392 05327 45485 23672 49212

68181 66796 01111 81046 03106

54283 10083 48124 66874 40560

48823 58942 76779 11831 71291

24114 27526 36778 52550 03349

58250 09433 49922 73517 05749

53805 24698 90621 44865 30020

67094 32424 78081 01866 06524

96327 08369 01352 81145 76239

96304 17442 26193 50470 40080

14320 29318 35603 67402 11237

17503 66734 92657 25594 48869

78373 76435 19095 11690 87307

78058 96964 06841 98848 17419

74417 70127 90585 33464 32119

05478 71773 34259 73504 17136

95594 70376 56991 94958 73025

86317 76771 66837 10831 54982

71728 32787 76084 68568 38031

39979 10146 27776 94907 33324

15592 60403 42603 96773 89004

DIGITS

33685 47395 85450 74431 53889

46352 13003 75724 91414 70539

95063 10456 61652 81171 64157

85426 78979 45796 77853 37515

48444 88584 30026 86203 69963

10182 60719 91408 52581 31505

03452 35732 66049 71522 78488

35698 27050 80879 22214 17387

46357 21105 62470 27862 30463

45316 67491 08712 49107 89776

63323 15314 18931 06321 67593

50937 98675 93242 03575 52357

71992 37385 89058 03613 58247

94275 65750 39800 89690 79511

19763 15911 62758 90384 08462

45433 38792 67984 14297 03353

82198 64457 32441 90153 47008

64870 04745 32499 40333 61195

6S520 05796 57927 49096 43765

05007 88903 89201 38588 74264

04692 58763 73089 62844 07701

21033 34261 62446 04251 88138

26350 81331 66392 22865 38179

97573 41406 87120 23019 76957

78363 79075 69264 01258 25346

57085 92362 17519 44003 00728

521C0 62325 34030 86493 05479

64858 20484 41417 70154 54470

60289 91993 33513 47265 92628

40702 27590 45199 41120 28897

02797 46778 06137 74457 17698

20775 77508 24814 42647 61096

30891 75550 08406 35640 97312

27244 32784 31944 04514 79805

29521 11486 35378 02951 19991

79181 27710 77898 18641 25822

15797 50526 19737 46728 47806

27756 92892 40249 12677 20351

45962 27413 52596 74767 15419

10278 34135 11550 08956 78074

45477 07566 01028 98648 11852

86055 69098 79807 32699 21694

09237 80180 37075 15571 75381

49159 97364 98803 41313 52271

90957 04215 79673 59041 58532

72241 18772 83987 66214 96335

29193 64089 48005 22480 35522

65199 70118 82010 63048 89269

37254 91599 06189 53170 95295

87192 575G7 05696 98464 98800

G-24
Ill

TABLE OF RANDOM

70926 14068 90617 51352 05865

38294 02507 86133 45888 21711

51447 00598 36601 60566 32418

33733 65492 09115 87007 43944

98578 16717 53459 98243 68053

98045 35229 65436 97032 90692

11030 27678 40435 23421 30446

06398 01268 40461 42] 65 76730

66982 99502 99638 32288 81444

49990 41133 65203 58173 33477

22975 87537 49981 83262 55604

56363 46172 55878 38017 28757

25239 51964 68059 75456 39179

59897 48512 00334 45937 19369

07445 43199 11331 84333 24530

52821 36525 86483 01485 27152

04483 39213 14609 02255 65310

85207 37425 3552S 59376 85614

36385 78567 05346 74610 26141

55407 39812 30331 60144 17516

46331 84545 74655 37810 71052

04897 76974 58825 06219 35829

66731 13895 78598 34046 33819

43230 46708 41391 27181 83392

66454 90538 67155 16330 47634

15390 36462 55477 37908 88709

46247 72875 26162 79014 84536

55637 15060 33992 51861 89417

02487 37297 82484 66076 52244

42610 30603 43360 37782 74207

76181 27103 98753 17717 75804

24240 59688 23292 40949 74821

81005 08991 34680 03514 44197

56871 37208 97581 82371 26370

33208 81662 43605 2055S 79985

43803 95466 93094 97246 31204

39723 01384 22765 93642 60124

62515 76499 84234 06259 51069

45055 24644 30258 39939 53071

69681 82442 84755 30753 38850

83385 60015 99787 68177 43030

04458 50325 13625 59771 52638

35754 46420 40662 91784 10383

101G2 66613 00105 17031 85743

89831 87771 78854 87869 25562

55684 77321 42361 69034 44115

52365 07152 2S678 69439 55376

33636 30300 46185 47790 80994

38313 14021 53007 04659 93123

12929 16404 65222 46174 52721

DIGITS

25126 21435 69981 06479 54942

98619 05872 54301 87716 26002

06444 18754 79000 29678 33535

90683 36936 70086 26343 44499

14785 94556 24145 73756 02966

92839 48741 46015 60649 78986

68355 41264 56845 25972 24239

80605 64851 45178 40698 45023

22186 99057 35949 63798 62111

09119 34541 41143 46943 46256

56229 84786 38692 16164 86948

23228 36018 72170 51051 75235

09456 92300 65626 48879 31402

41725 17979 02825 84411 90936

07944 18773 94012 01441 40655

22479 34278 29029 82444 32543

22945 48013 36887 71101 33008

97070 30842 27193 62451 28179

87177 19154 53851 05824 59090

98353 6938a 48352 58137 77898

47561 38516 00995 29132 674 66

94137 86723 33959 58960 78467

31321 28214 15552 79956 93786

83917 50354 06317 82244 64964

26177 91044 95720 98046 97875

79835 02268 34899 43576 94090

95251 08529 38081 20459 00237

48441 81158 34236 95130 56722

52682 24153 95903 16593 18839

42717 30680 04798 49349 80247

70789 38568 18708 96245 97479

74395 15182 28469 39961 16523

25332 59596 78425 98515 94769

49617 59215 38569 14739 48414

90844 17530 99091 10285 21540

85156 37718 08525 91170 63419

99086 45153 32542 47145 48575

60919 55124 78419 58554 9454 0

2G932 18676 192S5 62417 63764

46942 61530 59202 110S7 15121

09512 56402 52055 69511 95801

03817 31659 90580 61424 19064

86003 18461 37487 C7G63 29044

46022 84098 48084 05707 94180

86955 25525 10040 73737 90766

03720 97262 71890 16199 59265

06525 59029 29933 27542 745 1 S

17002 12405 42203 99491 543S0

86269 29475 28220 71 108 33211

30713 10441 13115 06313 78965

G-25
112

TABLE OF RANDOM

11767 41715 96921 39440 91713

10209 39469 04395 96949 68306

88035 86619 10325 12403 59223

01488 22623 75963 52672 08033

85453 72323 32385 04738 68076

94870 60073 79608 75998 05122

92793 48899 87556 46924 20939

02048 90603 58746 02696 73115

99402 91657 18017 77315 39059

52804 36184 32274 65204 35397

74967 53533 93594 69969 16216

15360 86221 06240 68606 05993

53092 10820 71341 56926 4S072

78293 43707 65260 46559 21593

24698 22898 26339 77971 47433

36341 31972 45946 23649 94999

70032 05924 91583 26358 42395

58505 19927 12491 29716 88554

73594 99247 47006 04316 15214

76445 56970 29913 49346 49418

25906 22504 11638 73444 50364

30906 29090 62259 64926 45247

65174 27188 78410 88819 89691

95707 46159 04585 08264 31148

86800 89098 64605 45971 11658

27050 19535 80967 86429 53087

10321 30484 20157 44523 17221

81688 67931 83947 92274 47572

87754 63269 20414 97007 85234

61003 95084 61292 17324 93461

92634 41808 82881 62269 335S6

43023 46101 12756 91289 97S32

56571 76602 83541 73035 54212

02277 75958 49212 59055 91260

26333 27670 05556 64366 57386

58163 45678 12771 96906 76195

24866 01275 00882 31104 25970

86997 96175 69773 38015 23916

64237 20191 40654 S6516 81157

50601 68108 35854 45951 96090

76183 41550 85252 38048 61986

59038 73354 29214 64984 42285

08430 83898 82979 99138 72201

28493 91724 84455 17948 67633

00322 75838 71501 37001 36824

99942 82603 23184 2G29G 50994

97872 36870 47178 G9926 36075

64219 065 80 2G192 82GG6 74G07

58098 55G23 26057 28G19 79776

89G24 83227 0G730 1G023 23771

DIGITS

01252 95477 90091 74570 47814

59930 43058 74922 84796 25716

80176 03721 42071 86811 58308

94360 23673 80897 68904 98109

97592 1 9285 41760 42244 51078

18855 98943 26426 84879 74388

72246 53768 14024 09495 40912

25929 51870 61184 65085 78295

24381 21328 36197 89852 69923

44192 06055 60314 10940 34627

97183 95154 37719 90074 06928

28257 80451 90422 20624 31777

70936 33884 63004 81011 90241

61172 05802 48592 96801 88425

41759 74193 54506 04385 71026

27633 01609 19345 83854 65117

85283 36548 48571 90295 65056

84743 75150 20811 . 92332 52934

68184 50502 00906 58323 81340

89565 90371 02911 18781 49995

29434 37229 81270 17091 08384

63145 97190 79048 25472 63993

71654 85623 76958 93888 34121

55333 66354 20732 83733 71859

89650 14679 29076 11295 26756

24524 45176 58099 21062 93277

52332 02171 69984 24729 45615

05921 73696 13267 12007 36060

02765 25037 08013 58209 32893

48671 92398 73811 32577 03895

15208 06382 92818 07525 18506

03007 11112 83193 38078 10928

82112 39610 98224 02571 03610

88372 70664 91292 17350 78812

17327 G0852 92021 15754 55988

16623 54681 38763 44930 12599

06468 5S772 11493 25244 57906

94438 43706 85667 S718S 72475

18779 32641 89064 70199 22278

18262 21094 13284 03783 47529

96431 58408 90223 36116 13558

99793 79106 35548 59039 40442

37238 62822 29049 66756 80217

89500 41013 08398 42274 57451

74950 60G32 11372 43392 66004

21524 46967 28332 19674 32822

93302 04530 10172 04809 9G867

31539 77593 73076 41422 56992

69449

•

97532 09986 G8SC5 92882

51774 40547 13335 80053 88100

G-26
113

TABLE OF RANDOM

99275 48612 21216 65329 47006

93487 83437 17776 85952 25025

77638 96966 33408 52567 97394

13771 86099 85457 58571 84468

82422 08792 07864 18509 17314

79394 17748 90396 44781 82857

15053 36157 18243 03108 81691

30831 20830 21955 49948 55957

61512 40712 24620 52733 44361

52270 08623 15054 40687 92854

69103 56560 84932 19661 06307

73582 54875 08117 98969 71713

91009 80511 72733 51864 93842

57300 92584 28176 93034 51982

92344 93509 93644 67316 55786

92749 83442 68882 04917 60100

42831 12508 45484 77529 12684

07745 53194 02923 61074 63854

45498 5S291 87859 53926 31865

09182 74356 98937 05305 44177

66926 27548 13360 74005 81863

29434 65828 22535 71027 81963

42571 68007 13720 72268 36932

44191 51743 00755 11342 96156

74446 78425 06622 18035 10454

01361 80115 72935 17163 22449

12978 51982 49118 56362 57711

61774 37757 07413 39789 32552

38043 01415 45193 84171 52383

15829 42557 52816 20654 41230

65919 70072 05256 51571 82292

42819 32053 60657 82161 35440

23139 91838 52934 54293 84798

19405 64597 82153 40667 49899

07288 45243 60807 81236 70539

69116 89344 12029 01539 93894

63194 11499 17269 88825 33188

45783 92486 36117 48960 28351

07396 88455 49617 31643 59540

89360 23385 55210 93043 02738

73831 35096 11635 69913 59826

52665 80524 66871 10050 20685

65846 39590 21711 76563 70545

53627 91900 09405 76537 98930

70669 44663 26954 84605 51598

62677 12248 24848 02140 01131

83555 56534 67758 71368 26859

83G97 77759 52073 04864 55059

44903 84173 97008 84 837 53 936

49014 65018 85266 95013 10543

DIGITS

81802 25488 71983 53254 49130

36775 48054 51516 34250 80153

44738 82972 74641 10629 27328

13977 68318 67241 81211 50595

57017 41471 01334 83346 52276

73286 98281 05360 64793 89261

95429 61175 63251 51012 30760

13305 47123 90904 83261 63990

69509 14503 27507 11978 53166

34969 25843 05886 23848 37815

56052 78502 97906 53173 20703

04025 91705 35226 26130 20635

41062 34805 54917 58877 06764

67445 81231 35754 08862 16353

46115 81226 81580 56533« 28894

60970 89024 26833 22520 14141

74732 97088 83012 10059 29112

76031 53621 82550 48493 04735

91237 32265 51667 11757 85115

41774 56282 83432 18409 59954

47185 45649 98578 33918 26819

89151 85892 46253 32153 62668

83209 50630 86254 99242 84871

70667 92793 64207 00908 20585

00769 82604 23280 31513 80496

53094 44751 89764 63157 10031

857S9 99400 99659 94439 72369

79649 50218 18721 43983 44445

92519 94553 32365 46859 74074

92652 20289 18515 59762 77168

43086 03342 00323 34974 27538

03414 06554 36616 95862 14257

35913 01191 24708 34713 37519

84924 49530 56359 42477 08924

14403 92228 85675 29187 93505

65818 59005 07675 24657 68510

65639 63508 66633 68749 38774

14145 10509 87554 58285 7 23 22

77294 84426 31160 54194 05018

29451 16953 50118 05254 65817

49421 30885 99775 94291 39334

15957 17210 61591 80857 13 700

01898 13150 61557 28181 G8003

77889 57807 75958 91341 58920

23696 28725 09031 66099 05956

56569 13528 24145 45199 09776

95717 28288 13551 30987 20330

91511 15250 26670 78996 645 19

01667 37797 55720 19801 6 l 74324 00370 4 4 G 9 2 3 2436 G2278

G- 27
114

48891

73871

34170

71583

01108

20522

79608

68090

19084

07646

63196

86398

63642

71121

13701

71134

33767

33146

36625

63621

22624

56577

68561

29278

05725

12415

56651

48493

25123

85607

16373

40801

32100

76932

57106

05418

37221

23823

84321

02344

70325

22987

83159

68181

65843

54251

42504

56201

25284

00702

TA8LE OF RANDOM DIGITS

10539 77297 06672 60476 03209 56167 45544 78258 21422

02158 64630 46343 47332 15481 71394 96315 73568 80645

02175 09960 18993 17807 66444 32730 21212 46076 25920

99318 45044 48166 87077 55556 63659 33391 85205 13101

73834 09699 74820 30068 86921 78110 28980 24355 68185

12904 93684 21725 57411 71846 80425 00453 19748 21457

42670 40653 95662 12532 49174 48503 67040 69216 27753

48226 92873 37646 30421 74228 35929 44178 28348 91363

66561 09518 45488 31864 35233 62351 49727 02447 07250

32173 72941 15268 61602 62354 27853 58697 90386 37514

74349 39550 70915 83488 07746 17894 50004 91058 41346

28564 87112 86288 97693 26056 17915 82559 35381 75027

03881 57412 19351 27350 31510 45854 15923 02510 43820

53702 40309 92143 20328 65330 63967 19131 85795 53721

53089 57760 40693 34610 98600 45016 71126 59165 50190

32621 80057 67356 89035 65907 57480 04850 92464 32201

36215 39791 72287 29800 67640 97975 74758 46021 73423

61482 78422 55628 . 18394 48569 51299 86059 19323 41580

32972 51316 64412 82599 79023 38452 03155 74595 13130

36578 05384 34537 25673 58665 29591 66953 98274 34545

74007 67711 37494 37526 00412 47081 69740- 38591 44042

81154 72712 59626 77020 40221 70415 21555 13315 15986

00765 43531 76052 72134 75017 93077 40022 29505 76950

37732 91524 28033 49045 23812 81820 66774 33620 64598

26121 68788 96440 70878 63396 59123 86114 46700 98438

12423 39879 62843 88286 04293 49225 20626 61318 10872

39944 91948 87327 20492 92155 94288 75984 73002 78618

98522 25685 40367 43342 523S2 28333 30879 59352 86497

62925 33514 71567 65553 97229 55058 40209 62112 18160

00506 63005 26044 87342 39708 30757 75972 54177 31864

13846 52495 45645 10162 39115 45771 25100 16356 37750

68181 06980 50698 26657 94736 02366 84979 18942 84572

76474 58798 77166 31884 50951 29955 94471 53066 46180

16642 68834 38684 07709 97540 . 70322 32654 85262 92296

64646 95365 10663 32804 72795 25166 79078 26789 51843

98621 75977 52630 27675 96279 13152 44711 46961 45757

69111 23417 17803 11075 66454 95453 60328 68808 98125

99934 93432 05912 93150 84781 99233 03767 24838 94955

03554 23836 64544 27469 23266 57244 28275 82170 07575

23656 61016 09765 19867 21790 46457 25411 03500 46762

88171 23685 97217 76585 88384 51221 31272 17338 80422

01461 15898 25857 74145 81101 90051 36721 45737 65918

50055 54172 05122 07096 55938 95953 33901 54679 64178

68525 53187 92984 58323 41389 66592 565S4 14326 07823

69659 40222 34435 50890 24504 70304 43227 29870 44698

76480 23860 30082 69132 08840 98017 54350 66249 75725

70709 53223 89394 66872 79919 06562 25977 42529 78016

69520 52851 03783 60280 27101 07911 12147 97079 52817

80305 76573 14 254 56770 83548 44466 06063 04232 62S38

10030 47850 44094 84878 51686 39037 19661 73877 24708

G-2ft
115

TABLE Of RANDOM

57045 08074 88727 91303 10880

92889 33197 04117 79760 15336

06135 40078 34575 82871 86196

27526 09658 27405 99448 02380

32443 44984 94521 49020 45683

34091 84585 92750 72213 03810

68190 21907 52999 14903 80020

05191 64586 50535 20491 87132

78088 71769 13917 08311 88957

34271 03646 95035 67881 17645

76667 51400 93187 10311 92693

80232 15879 47748 03011 38553

53017 39124 84777 E0739 87900

28699 18974 35297 40752 31285

35394 84361 77346 21801 39236

84813 25422 08800 36063 94441

39900 30333 13938 22799 30507

99174 36078 79599 06223 38520

53762 31370 73669 10523 08875

72787 78482 19585 45029 . 31822

82163 23362 09644 74123 06831

62357 13766 93851 27009 42621

62350 73856 33253 02353 42231

84764 94194 97699 27029 32935

78327 42124 56300 93706 75936

39284 08465 61364 37573 18285

73507 00339 10678 66490 22653

77675 53001 74015 20232 61900

55144 58892 57952 65272 56004

69545 93269 67239 96561 07443

24029 31914 39122 68971 26865

44665 26518 13219 61450 13321

13196 84012 09819 55245 97721

66401 50382 14549 66579 77859

61962 67996 12828 22706 72646

06771 43014 92202 23860 29456

56042 94875 92991 24042 92395

98428 13542 85663 66158 57744

85814 29832 59007 57398 01033

99657 30745 72197 03217 11839

61069 54986 13341 89G88 70977

61108 30705 46984 74866 65173

25672 31476 55896 46337 25418

11136 98716 28020 28414 92289

88537 12364 87867 50446 37446

83003 8536? 97045 18857 67214

82128 01345 08532 69206 36560

21388 13394 80549 87537 11673

29672 42547 2C085 15173 44457

65120 17193 77381 48198 72074

DIGITS

90387 03049 44649 41682 07161

25030 73686 24054 08666 24607

69883 71312 99329 34322 63290

71414 48311 18536 45957 52546

50812 57968 56310 97631 88709

84047 17607 87085 12607 62564

49368 63721 86548 80086 51686

18487 34210 66368 58881 83704

91965 22411 52575 44377 32138

34452 47064 84451 57918 48975

97380 61008 83243 01776 05137

29224 76115 36026 01249 61250

74156 54184 24003 45929 23730

02656 34584 71261 28462 33431

24825 77081 88028 12544 07565

88637 50780 79144 71908 51899

56296 43120 47179 26489 54531

31678 97203 14143 17457 41301

22489 69203 49879 77277 81867

85128 29960 54344 44851 75381

83252 16929 33737 19381 21302

13612 18873 76885 78819 55665

21028 27646 23292 94705 70722

51595 04454 93100 67131 09041

67290 59600 20201 83979 73231

64619 20079 85596 81849 81686

10032 68648 79622 98925 99635

50260 60094 57780 02739 55069

41356 00190 17413 642S6 60680

72133 62418 17791 02994 02665

01521 49285 71212 00822 25330

52526 22629 7S390 3C037 17735

11900 04586 91248 15214 61259

30100 79010 32512 29816 07127

79669 72214 52460 89227 42089

38047 44988 15786 03658 25037

30212 52225 50280 12944 79324

41097 56298 84834 83051 3 0048

52085 17512 32395 985G4 82408

737C8 49206 96954 94375 70130

32056 81627 56776 12859 44176

80340 43903 66334 27757 95664

76725 33877 16903 03276 13106

22989 45797 16935 498-13

35919 69387 32296 37350 25132

15043 05498 97716 85302 70414

04641 G400G 28763 89057 22560

98421 34723 30630 675 1C 993 1 t. 13154 98748 31233 87025 l 6793

08512 43387 27964 8G002 57332

G-29
116

TABLE OF RANDOM

14541 36678 54343 94932 25238

8862G 98899 01337 48085 83315

31466 87268 62975 19310 28192

52738 52893 51373 43430 95885

17444 35560 35348 75467 26026

62596 56854 76099 38469 26285

38338 83917 50232 29164 07461

29163 61006 98106 47538 99122

59049 95306 31227 75288 10122

67447 52922 58657 67601 96148

57082 55108 26992 19196 08044

00179 04358 95645 91751 56618

65420 87257 44374 54312 94692

52450 75445 40002 69727 29775

82767 26273 02192 88536 03191

17066 64286 35972 32550 82167

86168 32643 23668 92038 03096

33632 69631 70537 06464 83543

77915 56481 43065 24231 43011

90000 92887 92668 93521 44072

55809 70237 10368 58664 39521

50948 64026 03350 03153 75913

27138 59012 27S72 90522 69791

03534 58643 75913 63557 25527

48895 34733 58057 00195 79496

57585 23710 77321 70662 82884

95913 24669 42050 92757 68677

12981 37145 95773 92475 43700

62349 64 163 57369 65773 86217

68193 37564 56257 50030 53951

56203 82226 83294 60361 29924

31945 23224 0S211 02562 20299

68726 52274 59535 80873 35423

79557 25747 55585 93461 44360

05764 29803 01819 51972 91641

30187 66931 01972 48438 90716

30858 43646 96984 80412 91973

85117 38268 18921 29519 33359

59422 12752 56798 31954 19859

73479 91833 91122 45524 73871

83648 66882 15327 89748 76685

19454 91265 09051 94410 06418

49327 97807 61390 08005 71795

54482 51025 12382 35719 66721

30487 1S459 25693 09427 10967

42998 68627 66295 59360 44041

03668 61096 26292 79688 05C25

45074 91457 23311 56499 60403

58444 99255 14960 02275 37925

82912 91185 89612 02362 93360

DIGITS

84928 30668 34992 69955 06633

33563 78656 99440 55584 54178

06654 06720 64938 67111 55091

93795 20129 54847 68674 21040

89118 51810 06389 02391 96061

86175 65468 32354 02675 24070

25385 84838 07405 38303 55635

36242 90365 15581 89597 03327

92687 99971 97105 37597 91673

97263 39110 95111 04682 64873

57300 75095 84330 92314 11370

73782 38575 17401 38686 98435

81776 24422 99198 51432 63943

32572 79980 67902 97260 21050

91750 46993 02245 38659 28026

53177 32396 34014 20993 03031

51029 09693 45454 89854 70103

48297 67693 63137 62675 56572

40505 90386 13870 84603 73101

01785 27003 01851 40232 25842

11137 20461 53081 07150 11832

72651 28651 94299 67706 92507

85482 80337 12252 8338S 48909

47131 72295 55801 44847 48019

93453 07813 66038 55245 43168

80132 42281 17032 96737 93284

75567 99777 49246 93049 79833

85253 33214 87656 13295 09721

00135 33762 72393 16343 02263

84887 34590 22038 40629 29562

09353 87021 08149 11167 81744

85836 94714 50278 99818 62489

051GG 06911 25916 90728 20431

18359 20493 542S7 43693 88568

03524 18381 65427 11394 37447

21847 35114 91839 26913 68S93

81339 05548 49812 40775 14263

80642 95362 22133 40322 37826

32451 04433 62116 14899 38825

77931 67822 95602 23325 37718

76282 98624 71547 49089 33105

34484 37929 61070 62346 79970

49290 52285 82119 59-34 8 55986

84890 38106 44136 95164 92935

36164 33893 07087 16141 12734

76909 56321 12978 31304 97444

52198 74844 69815 7G591 35398

13658 81038 54729 12365 24082

03852 81235 9 1628 7213G 53070

20158 24796 38284 55328 96041

G-30
117

TABLE OF RANDOM OIGITS

44553 29642 20317 69470 57789 27631 68040 73201 51302 66497

03914 36106 71351 69176 53353 57353 42430 68050 47862 61922

00768 37958 69915 17709 31629 43587 07136 42959 56207 03625

29742 67676 62608 54215 97167 07008 77130 15806 53081 14297

07721 20143 56131 56112 23451 48773 38121 74419 11696 42614

99158 07133 04325 43936 83619 77182 55459 28808 38034 01054

97168 13859 78155 55361 04871 78433 58538 78437 14058 79510

07508 63835 83056 74942 70117 91928 10383 93793 31015 60839

68400 66460 67212 28690 66913 90798 71714 07698 31581 310S6

88512 62908 65455 64015 00821 23970 58118 93174 02201 16771

94549 31145 62897 91582 94064 14687 47570 83714 45928 32685

02307 86181 44897 608S4 68072 77693 83413 61680 55872 12111

28922 89390 66771 39185 04266 55236 91537 36500 48154 04517

73898 85742 97914 74170 103 S3 16366 37404 732S2 20524 85004

66220 81596 18533 84825 43509 16009 00830 13177 54961 31140

64452 91627 21897 31830 62051 00760 43702 22305 79009 15065

26748 19441 87908 06086 62879 99865 50739 9S540 54002 98337

61328 52330 17850 53204 29955 48425 84694 11280 70661 27303

89134 85791 73207 93578 62563 37205 97667 61453 01067 319S2

91365 23327 81658 56441 01480 09677 86053 11505 3CS38 82143

54576 02572 60501 98257 40475 81401 31624 27951 60172 21382

39870 60476 02934 32S57 06430 59325 84345 62302 98616 13452

82288 29758 35692 212S8 35101 77554 35201 22795 84532 29927

57404 93848 87288 30246 34990 50575 49485 60474 17377 46550

22043 17104 4S653 79032 45099 24889 04829 4S097 58065 23492

61981 00340 43594 22386 41782 94104 0SS67 68590 61716 36120

96056 16227 74528 2S155 23304 66323 07918 15303 44988 79076

64033 74715 31525 62676 75435 93055 3708S 52737 S9455 S3 01

6

59515 37354 55422 79471 23150 79170 74043 49340 61320 50390

38534 33169 40448 21683 82153 23411 53057 26069 86906 497C8

41422 50502 40570 59748 59499 70322 62416 71408 06429 70123

38633 80107 10241 30880 13S14 09223 6SS29 06438 17749 81149

48214 75994 316S9 25257 28641 14854 72571 78139 35508 26381

54799 37862 06714 55885 07431 16966 04797 57846 690S0 49631

25848 27142 63477 33416 60961 19781. 65457 23981 90348 24499

27576 47298 47163 69614 29372 24859 62090 81667 50635 0S295

52970 93916 81350 81057 16962 5G039 27739 59574 79617 45698

69516 87573 13313 69388 32020 66294 99126 50474 04258 C30S4

94504 41733 55936 77595 55959 90727 61367 S3645 80997 62103

67935 14568 27992 09784 81917 79303 08616 83509 64932 34 7 64

63345 09579 40232 51061 09455 36491 04810 06040 78959 41435

87119 21605 86917 97715 91250 79587 80567 39S72 52512 73444

02612 97319 10437 6S923 58607 3S2G1 671 19 36351 48521 6 9965

69860 16526 41420 01514 46902 03399 12286 52467 80387 10561

27669 67 730 53932 38578 25746 C0025 98917 18790 51091 24920

59705 91472 01302 33123 35274 88433 55491 27609 02824 0524 5

36508 74042 44014 36213 12724 06092 23742 90436 33419 1 230 1 13612 24554 733 26 61445 771 98 43360 62006 31038 54 756 1 37

82893 11961 19656 71181 63201 44 9*16 14169 72755 47883 24 1 19

97914 61228 42903 71187 543G4 14945 20809 33937 13257 663 87

G-31
NBS-TMA (rev. 2-aci I

U.S. DEPT. OF COMM.

BIBLIOGRAPHIC DATA

SHEET (See instructions)

1. PUBLICATION OR

REPORT NO.

NBSIR 85-3172

2. Performing Organ. Report No. 3. Puolication Date August 1985

8

4. TITLE AND SUBTITLE

Package Checking Field Manual to Accompany NBS Handbook 133 "Checking the Net

Contents of Packaged Goods"

I

5. AUTHOR(S)

C.S. Brickenkamp , S. Hasko, & M.G. Natrella

6. PERFORMING ORGANIZATION (If joint or other than NBS, see in struct ion s)

national bureau of standards

DEPARTMENT OF COMMERCE

WASHINGTON, D.C. 20234

7. Contract/Grant No.

8. Type of Report & Period Covered

9. SPONSORING ORGANIZATION NAME AND COMPLETE ADDRESS (Street. City. State, ZIP)

Same as above

10. supplementary notes

]

| Document describes a computer program; SF-185, FlPS Software Summary, is attached.

11. ABSTRACT (A 200-word or less factual summary of most significan t in formation. If document includes a significant

bi bl iography or literature survey, mention it here)

Tables and report forms from NBS Handbook 133 have been rearranged in a convenient

tabbed format for use by government inspectors in their field testing of prepackaged

consumer and nonconsumer commodities. Outlines of the test procedures and examples

of completed report forms and worksheets have been added, along with a variation

on the "Standard Pack Report Form" for weight only. There are eight sections: Test

Procedure: Outlines, Sampling Plans, Variable Tare, Weighing Rules, MAV's, Report

Forms and Worksheets, Examples, and a Random Number Table.

12. KEY WORDS (Six to twelve entries; alphabetical order; capitalize only proper names; and separate key words by semicolon s) commodity inspection; compliance testing; net weight; packaged product inspection;

package checking; prepackaged consumer goods

13. availability

XX I Uni imited

| For Official Distribution. Do Not Release to NT1S

i

| Order From Superintendent of Documents, U.S. Government Printing Office, Washington, D.C. 20402.

[>T Order From National Technical Information Service (NTIS), Springfield, VA. 22161

14. NO. OF

PRINTED PAGES

128

15. Price $14.50

USCOUM-DC 80J3-PBO