14 February 2012
Faith A. Morrison
Statistics Example
A local brewery distributes its product in 12oz cans. To check on the accuracy of the fill, the engineer collects a sample of 15 cans and measures the volume of product in the cans. After tweaking the canning operation, the engineer takes another sample of 15 cans and measures the volumes. Based on the collected data, what is the probability that the true average volume per can is above 12oz? Notice that the mean volume is nearly identical for the two samples. Comment on the impact of the variability of the volume on the answer to the first question. Did the tweaking affect the quality of the canning operation?
Solution pdf
Excel spreadsheet of solution
Faith A. Morrison
Statistics Example
A local brewery distributes its product in 12oz cans. To check on the accuracy of the fill, the engineer collects a sample of 15 cans and measures the volume of product in the cans. After tweaking the canning operation, the engineer takes another sample of 15 cans and measures the volumes. Based on the collected data, what is the probability that the true average volume per can is above 12oz? Notice that the mean volume is nearly identical for the two samples. Comment on the impact of the variability of the volume on the answer to the first question. Did the tweaking affect the quality of the canning operation?
| ID number |
sample 1 | sample 2 |
| fluid
oz |
fluid
oz |
|
| 1 | 12.1 | 18.4 |
| 2 | 11.5 | 18.3 |
| 3 | 11.2 | 5.8 |
| 4 | 10.5 | 6.7 |
| 5 | 13.4 | 18.7 |
| 6 | 11.6 | 6.0 |
| 7 | 13.4 | 17.5 |
| 8 | 12.2 | 6.1 |
| 9 | 12.0 | 18.2 |
| 10 | 13.5 | 6.0 |
| 11 | 10.6 | 6.8 |
| 12 | 11.9 | 17.5 |
| 13 | 11.8 | 24.0 |
| 14 | 13.1 | 5.3 |
| 15 | 12.5 | 5.9 |
Solution pdf
Excel spreadsheet of solution