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The belief is that the mean number of hours per week of part-time work of high...

The belief is that the mean number of hours per week of part-time work of high school seniors in a city is 10.6 hours. Data from a simple random sample of 25 high school seniors indicated that their mean number of part-time work was 11.4 with a standard deviation of 1.3. Test whether these data cast doubt on the current belief. (use α = 0.05)

a. State your null and alternative hypotheses.

b.State the rejection region.

c.Calculate the test statistic

d.Determine the P-value for your test.

e: State your conclusion for your hypothesis test.

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