The data in the Problem 9 worksheet of the Data file provide
The data in the Problem 9 worksheet of the “Data” file provides the process times in minutes for two production lines.
a. Prove (99% confidence level) if there is a difference between the two production lines in terms of process times.
b. What sample size would be necessary to prove this to an accuracy of 1 minute?
| 91.69204 | 83.9976 |
| 89.09504 | 82.65706 |
| 86.54122 | 84.37234 |
| 91.2936 | 87.66138 |
| 93.67638 | 82.64245 |
| 94.94638 | 91.94605 |
| 89.80999 | 85.17552 |
| 92.4154 | 83.27475 |
| 83.87191 | 82.63522 |
| 90.08731 | 83.61619 |
| 86.71173 | 86.7923 |
| 85.86476 | 84.24228 |
| 82.93274 | 80.93133 |
| 91.66162 | 86.84652 |
| 85.69085 | 87.13719 |
| 87.02281 | 91.14318 |
| 92.94165 | 85.10538 |
| 91.95518 | 79.59965 |
| 91.01757 | 83.17318 |
| 86.73094 | 83.58113 |
| 89.61989 | 87.87555 |
| 83.24112 | 84.14444 |
| 87.50018 | 85.86883 |
| 83.64838 | 87.616 |
| 92.80566 | 82.5627 |
| 90.40498 | 84.94783 |
| 91.99726 | 83.31513 |
| 88.38015 | 90.08862 |
| 83.87215 | 85.34387 |
| 84.21685 | 89.4826 |
| 83.86058 | 86.81616 |
| 94.91859 | 82.68625 |
| 89.4456 | 84.07942 |
| 87.56115 | 85.33787 |
| 91.25636 | 80.70363 |
| 91.80579 | 86.98817 |
| 93.86392 | 83.43024 |
| 91.874 | 81.89271 |
| 87.23189 | 84.39192 |
| 89.90575 | 86.93654 |
| 90.18453 | 83.36951 |
| 90.00755 | 84.35414 |
| 85.98736 | 84.51248 |
| 89.8903 | 82.45688 |
| 86.41519 | 82.29486 |
| 91.58967 | 87.64585 |
| 93.92207 | 84.52482 |
| 95.50023 | 90.23358 |
| 93.21881 | 85.71366 |
| 88.05002 | 83.92523 |
Solution

