The data provides the process times in minutes for two produ
The data 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?
A B
| 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 | 
| 88.98801 | 84.56149 | 
| 88.98431 | 84.54683 | 
| 88.98062 | 84.53217 | 
| 88.97692 | 84.51751 | 
Solution


