You are considering relaxing your control requirements thatdetermine what is acceptable quality; you have been using a 99.0%confidence interval but want to begin using a 97.5% confidenceinterval.
Your team has collected the following data from 4 samples of 7observations each. The calculated standard deviation is 13.981.
| Sample 1 | Sample 2 | Sample 3 | Sample 4 |
| Obs 1 | 392.2 | 415.1 | 413.6 | 399.7 |
| Obs 2 | 392.3 | 408.1 | 394.9 | 402.3 |
| Obs 3 | 405.4 | 428.6 | 410.1 | 400.6 |
| Obs 4 | 410.3 | 398.2 | 410.8 | 427.6 |
| Obs 5 | 423.3 | 403.3 | 423.2 | 385.8 |
| Obs 6 | 413.9 | 421.1 | 402.7 | 431.0 |
| Obs 7 | 426.7 | 433.5 | 385.8 | 405.9 |
What is the UCL for the mean given the new confidence intervalof 97.5%? (Keep one decimal point in your answer)
