Question: A high school principal is concerned with the amount of time her students devote to working at an after school job. In previous years, students worked a mean of 10.7 hours a week, and she is worried that this has increased.

1. Describe the population of interest in this problem.
2. Does this call for a one-sided or a two-sided test of significance?
3. Give the null and alternative hypotheses for this test of significance. [
4. An SRS of size 40 is selected and the appropriate test conducted. Should the test statistic on which the test is based be the z-statistic or the t-statistic?
5. The SRS has a sample mean of 13.4 hours with sample standard deviation of 11.2 hours. Calculate the appropriate test statistic.
6. Calculate the p-value for this test and based on this p-value write a sentence indicating whether the principal has sufficient evidence that students work more than 10.7 hours per week.

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