Question

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 28 seniors indicated that their mean number of part-time work was 13.1 with a standard deviation of 1.4. Test whether these data cast doubt on the current belief. (use α = 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.

Explain and USE R CODE for rating (especially for part d)

Answer 1

The R command is,