Question5. At a certain government agency, all employees must undergo a training course and take an online quiz to assess their knowledge. The completion time for the population of all government employees who take the quiz is normally distributed with mean 32 minutes and standard deviation 13 minutes. It is suspected that one group of employees cheated on the quiz, since their completion time was shorter than average. In this sample of 34 employees, the mean completion time was 29 minutes with standard deviation 4 minutes. At the $\alpha=0.05$ level of significance, what can be concluded? Include the following steps in your test. - State the null and alternative hypotheses - Calculate the test statistic - Find the p-value - Make a decision whether to reject $\mathrm{H}_{0}$ - Write an interpretation of the results