Discuss the below:
Q: A plant manager has collected productivity data for a sample of workers, intending to see whether there is a difference in the number of units they produce on Monday versus Thursday. The results (units produced). Using the 0.01 level of significance, evaluate the null hypothesis that there is no difference in worker productivity between the two days. Identify and interpret the p-value for the test, then construct and interpret the 99% confidence interval for the mean difference in productivity between the days.
| Worker |
Monday |
Thursday |
| 1 |
49 |
46 |
| 2 |
56 |
59 |
| 3 |
63 |
65 |
| 4 |
52 |
57 |
| 5 |
47 |
45 |
| 6 |
67 |
71 |
| 7 |
71 |
70 |
| 8 |
45 |
49 |
| 9 |
42 |
43 |