The belief is that the mean number of hours per week of part-time work of high school seniors in a city is

10.5 hours. Data from a simple random sample of 22 seniors indicated that their mean number of parttime

work was 12.3 with a standard deviation of 1.3. Test whether these data cast doubt on the current

belief. (use " = 0.05)

Part a: State your null and alternative hypotheses. Part b: Sketch the rejection region. Part c: Calculate the test statistic. Plot this value in your sketch in part b. Part d: Determine the P-value for your test. Part e: State your conclusions clearly in complete sentences.