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The belief is that the mean number of hours per week of

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.

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