A 7,000-seat theater is interested in determining whether there is a difference in attendance between shows on Tuesday evening and those on Wednesday evening. Two independent samples of 39 weeks are collected for Tuesday and Wednesday. The known population standard deviation for attendance on Tuesday evening is 550 and the known population standard deviation for attendance on Wednesday evening is 445.
| Tuesday | Wednesday |
| 5136 | 6470 |
| 4700 | 5812 |
| 4685 | 6099 |
| 6314 | 5956 |
| 5087 | 5901 |
| 6271 | 5051 |
| 5129 | 5819 |
| 5161 | 4584 |
| 5466 | 5196 |
| 5738 | 5707 |
| 4577 | 5361 |
| 6449 | 5816 |
| 5866 | 6600 |
| 5789 | 6268 |
| 5631 | 5089 |
| 4965 | 6479 |
| 5876 | 5331 |
| 5472 | 6144 |
| 6167 | 6592 |
| 4718 | 5373 |
| 5506 | 6488 |
| 4797 | 6631 |
| 6343 | 5796 |
| 5220 | 5289 |
| 5689 | 5006 |
| 6327 | 5307 |
| 6337 | 6382 |
| 5172 | 5545 |
| 4763 | 5646 |
| 5544 | 5160 |
| 4797 | 6271 |
| 4812 | 5258 |
| 5215 | 5222 |
| 6406 | 5555 |
| 5767 | 5205 |
| 5888 | 6662 |
| 5630 | 6128 |
| 5340 | 5919 |
| 4905 | 6035 |
a) Determine hypothesis
b. What is the test statistic and p-value? Round to 4 decimal places.
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