Table:
0
A
B
C
D
E
F
G
1
Sigma level
Sigma (with 1.5σ shift)
DPMO
Percent defective
Percentage yield
Short-term C pk
Long-term C pk
2
1
-0.5
691,462
69%
31%
0.33
–0.17
3
2
0.5
308,538
31%
69%
0.67
0.17
4
3
1.5
66,807
6.7%
93.3%
1.00
0.5
5
4
2.5
6,210
0.62%
99.38%
1.33
0.83
6
5
3.5
233
0.023%
99.977%
1.67
1.17
7
6
4.5
3.4
0.00034%
99.99966%
2.00
1.5

Questions and formulas:
Question: What is the percentage yield for a DPMO of 3.4?
Formula: LET(query1,SUMMARIZE(E1,SUMX(C1)),FILTER(query1,CHOOSECOLS(query1,2)=3.4))
Formula2: LET(query1,SUMMARIZE(E2:E7,SUMX(C2:C7)),FILTER(query1,CHOOSECOLS(query1,2)=3.4))
Level: hard
Question: How many percentage yield figures are there when 6.7% are defective?
Formula: ROWS(UNIQUE(FILTER(E1, D1="6.7%")))
Formula2: ROWS(UNIQUE(FILTER(E2:E7, D2:D7="6.7%")))
Level: medium
Question: What is long-term C PK when the short-term C PK is 2.00?
Formula: LET(query1,SUMMARIZE(G1,SUMX(F1)),FILTER(query1,CHOOSECOLS(query1,2)=2))
Formula2: LET(query1,SUMMARIZE(G2:G7,SUMX(F2:F7)),FILTER(query1,CHOOSECOLS(query1,2)=2))
Level: hard
Question: What is the sigma (with 1.5σ shift) when there are 69% defective?
Formula: SUMIFS(B1,D1,"69%")
Formula2: SUMIFS(B2:B7,D2:D7,"69%")
Level: easy
Question: When sigma (with 1.5σ shift) is 2.5, what percent is defective?
Formula: LET(query1,SUMMARIZE(D1,SUMX(B1)),FILTER(query1,CHOOSECOLS(query1,2)=2.5))
Formula2: LET(query1,SUMMARIZE(D2:D7,SUMX(B2:B7)),FILTER(query1,CHOOSECOLS(query1,2)=2.5))
Level: hard