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.
1. What is the percentage of 12 oz Gatorade that meets the specification?
99.97%
72.54%
93.7%
82.6%
2. What is the percentages of 12 oz Gatorade that are considered “overweight”?
0.03%
94.52%
5.48%
0.82%
3. What is the percentages of 12 oz Gatorade that are considered “underweight”?
0.82%
27.43%
5.48%
94.52%
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%
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
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