The belief is that the mean number of hours per week of part-time work of high school seniors in a city is 10.8 hours. Data from a simple random sample of 29 high school seniors indicated that their mean number of part-time work was 11.4 with a standard deviation of 1.4. Test whether these data cast doubt on the current belief. (use = 0.05)

Part a: State your null and alternative hypotheses.

Part b: State the rejection region.

Part c: Calculate the test statistic.

Part d: Determine the P-value for your test.

Part e: State your conclusion for your hypothesis test.