Question: The mean cleanup and redecorating time for a one-bedroom student apartment at campus Housing is 16 hours. The time for the cleanup and redecorating process follows the normal distribution. The campus Housing administration instituted a “fee and fine system” that encourages students to clean their apartments when they vacate them. This should shorten the cleanup and redecorating time. A sample of 15 apartments had a mean cleanup and redecorating time of 14.5 hours with a standard deviation of 1.5 hours. Does use of the “fee and fine system” decrease the cleanup and redecorating time? Follow the five-step hypothesis testing procedure using the 0.05 significance level.

a. State the null and alternate hypotheses.

b. State the decision rule.

c. Compute the value of the test statistic.

d. Compute the p-value.

e. What is your decision regarding the null hypothesis? Interpret the result.