Runs

Captital 

Cement, San 

Antonio, TX

Alamo, San 

Antonio, TX

Holcim, 

Portland 

CO

1 <0.34 0.54

2 <0.34 0.66

3 <0.34 0.78

4 <0.34 0.25

5 <0.34 0.25

6 <0.34 0.27

7

8

9

10

11

12

13

14

15

16

17

18

19

20

21

22

Emissions (ppmvd@7%O2)

1

N

i

i

n





N

21

22

23

24

25

26

27

28

29

30

31

32

33

34

35

ni = number test runs = 6 6 0 0 0

Total Number of sources = 3

n =Total # test runs = 12

1

N

i

i

n





N
11

This step is for QC only:

means 0.34 0.46

0.40

Mean =

Pooled Variance = 0.0286  

2

2

1

1

1

n

i

i

s x X

n 

 

 

1 1

1

i N n

ij

i j

X x

n  

 

1 1

n m



2 1 1

s

n m

    

 

1

1

N

i

i

df n



 

      

2 1 1

s

n m

    

 

1

1

ni

i ik

i k

x x

n 

 

1

N

i

i

n





m= number future runs = 30

Term1 0.1167

Term2 0.0033

Squared root Term2 0.0577707

NOTE: the pvalue for the t-statistic is calculated as: 2*alpha, where 1-alpha is desired confidence, so if 99% confidence is desire

 

2

2

1

1

1

n

i

i

s x X

n 

 

 

1 1

1

i N n

ij

i j

X x

n  

 

1 1

n m



2 1 1

s

n m

    

 

1

1

N

i

i

df n



 

      

2 1 1

s

n m

    

 

1

1

ni

i ik

i k

x x

n 

 

1

N

i

i

n




t-statistic = quantile t-distribution with df degrees of freedom at .99 confidence level =

UPL POOLED VARIANCE = 0.56

df t

2

,

1 1 X tdf p

s

n m

 

     
Emissions (ppmvd@7%O2))

0 0 0 0 0 0
dence, so if 99% confidence is desired then alpha=0.01 and 2*alpha=2*(0.01)
 confidence level = 2.718079183
UPL Pooled 

Variance=

2

,

1 1 X tdf p

s

n m

 

     

2

,

1 1 X tdf p

s

n m

 

     
Runs

Captital 

Cement, San 

Antonio, TX

1 <0.34

2 <0.34

3 <0.34

4 <0.34

5 <0.34

6 <0.34

7

8

9

10

11

12

13

14

15

16

17

18

19

20

21

22

Emissions (ppmvd@7%O2)

1

N

i

i

n





N

21

22

23

24

25

26

27

28

29

30

31

32

33

34

35

ni = number test runs = 6 0 0 0 0

Total Number of sources = 3

n =Total # test runs = 6

1

N

i

i

n





N
5

This step is for QC only:

means 0.34

0.34

Mean =

Pooled Variance = 0.0000  

2

2

1

1

1

n

i

i

s x X

n 

 

 

1 1

1

i N n

ij

i j

X x

n  

 

1 1

n m



2 1 1

s

n m

    

 

1

1

N

i

i

df n



 

      

2 1 1

s

n m

    

 

1

1

ni

i ik

i k

x x

n 

 

1

N

i

i

n





m= number future runs = 30

Term1 0.2000

Term2 0.0000

Squared root Term2 0

NOTE: the pvalue for the t-statistic is calculated as: 2*alpha, where 1-alpha is desired confidence, so if 99% confidence is desire

 

2

2

1

1

1

n

i

i

s x X

n 

 

 

1 1

1

i N n

ij

i j

X x

n  

 

1 1

n m



2 1 1

s

n m

    

 

1

1

N

i

i

df n



 

      

2 1 1

s

n m

    

 

1

1

ni

i ik

i k

x x

n 

 

1

N

i

i

n




t-statistic = quantile t-distribution with df degrees of freedom at .99 confidence level =

UPL POOLED VARIANCE = 0.34

df t

2

,

1 1 X tdf p

s

n m

 

     
Emissions (ppmvd@7%O2))

0 0 0 0 0 0
dence, so if 99% confidence is desired then alpha=0.01 and 2*alpha=2*(0.01)
 confidence level = 3.364929997
UPL Pooled 

Variance=

2

,

1 1 X tdf p

s

n m

 

     

2

,

1 1 X tdf p

s

n m

 

     