Pepsi uses six-sigma technique to evaluate whether its 12 oz Gatorade has consis

Question

Pepsi uses six-sigma technique to evaluate whether its 12 oz Gatorade has consistent weight. Pepsi took a sampling of 1000 12 oz Gatorade and found out that the average weight was 11.58 oz with a standard deviation of 0.3 oz. Pepsi considers a tolerance of ± 5% from 12 oz acceptable.

1What is the percentage of 12 oz Gatorade that meets the specification?

99.97%

72.54%

93.7%

82.6%

QUESTION 2

Q1-2 What is the percentages of 12 oz Gatorade that are considered “overweight”?

0.03%

94.52%

5.48%

0.82%

QUESTION 3

Q1-3 What is the percentages of 12 oz Gatorade that are considered “underweight”?

0.82%

27.43%

5.48%

94.52%

QUESTION 4

Q1-4 If Pepsi improves its production process, and samples another 1000 bottles and finds a average weight of 12 oz with a standard deviation of 0.2 oz.  What is the % of 12 oz Gatorade that meets the specification?  

98.36%

99.18%

97.5%

99.74%

QUESTION 5

Q1-5 If Pepsi improves its production process, and samples another 1000 bottles and finds a average weight of 12 oz with a standard deviation of 0.2 oz. What quality standard does this new process achieve (in terms of number of “sigma”)?

4.8 sigma

2.4 sigma

1.6 sigma

3 sigma

QUESTION 6

Q1-6 What is the standard deviation that Pepsi needs to achieve in order to achieve the 6-sigma standard without having to change the specification?

Sigma <=0.1

sigma<=0.2

sigma<=0.13

sigma<=0.18

99.97%

72.54%

93.7%

82.6%

Explanation / Answer

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Pepsi uses six-sigma technique to evaluate whether its 12 oz Gatorade has consistent weight. Pepsi took a sampling of 1000 12 oz Gatorade and found out that the average weight was 11.58 oz with a standard deviation of 0.3 oz. Pepsi considers a tolerance of ± 5% from 12 oz acceptable. Mean(M) 11.58 Std Dev (S) 0.3 5% level LSL(X) USL(X) 1What is the percentage of 12 oz Gatorade that meets the specification? 0.6 11.4 12.6 A 0.274253 0.999663 B NORM.DIST(X,M,S,TRUE) So range 0.72541 (B-A) 99.97% 72.54% Ans 93.70% 82.60%

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