A survey of company executives reveals that over half of theexecutives feel that more work is accomplished within theircompanies on Tuesday than on any other day of the week. To testthis claim within his own company, a health insurance companyexecutive takes a random sample of eight employees and records thetotal number of claims processed by each employee over four Mondaysand four Tuesdays. The following gives the recorded data:
| Employee | 1 | 2 | 3 | 4 | 5 | 6 | 7 | 8 |
| Mondays | 38 | 47 | 48 | 45 | 46 | 41 | 42 | 43 |
| Tuesdays | 42 | 46 | 48 | 54 | 49 | 47 | 39 | 49 |
Using the five-step format, test whether the claim that morework is accomplished on Tuesdays is correct for this company. Makesure to clearly state the null and alternative hypotheses, definethe test statistic and null distribution, calculate the teststatistic, find bounds the p-value, and make a conclusion in termsof the problem. (Hint: This data is paired.)
\"5 Step Format\"
1. State H0 and Ha.
2. State α.
3. State the form of the 1 − α confidence interval you will use,along with all the assumptions necessary.
4. Calculate the 1 − α confidence interval.
5. Based on the 1 − α confidence interval, either: ①Reject H0and conclude Ha, or ①Fail to reject H0.
