The 40-hour work week did not become a U.S. standard until 1940. Today, many white-collar employees work more than 41 hours per week because management demands longer hours or offers large monetary incentives. A random sample of 18 white-collar employees worked on average 43.20 hours per week. Is there any evidence that the true mean number of hours worked per week by white-collar employees is greater than 41? Assume that the population standard deviation is 3.06 hours. Please use the exact value (from R) for all critical values.

c) Is there any evidence to suggest the true mean number of hours worked per week by white-collar workers is greater than 41? Perform the hypothesis test at a 0.9% significance level. find the test statistic and calculate the p value.

d. (4 pts.) Write the complete four steps of the hypothesis test below.

Calculate the appropriate 99.1% bound that is consistent with what you did in part c).

Interpret the bound calculated above. In practical terms, do you think that the number of hours worked per week by white-collar workers is greater than 41? To receive credit, your answer must be more than just repeating the conclusions in parts c) and d). Please explain your answer. Hint: Difference and Effect Size.