Question: It is claimed that the mean time for college students to complete this task (without

exercise) is 30 seconds with standard deviation of 3 seconds. Given that the sample mean is 29.8 seconds for a sample of size 50, is there convincing evidence that 15 minutes of

vigorous exercise reduces the time needed to complete the task? Perform a test of significance, stating the null and alternative hypotheses, the z-test statistic, and the p-value. State the conclusion that results from the p-value you obtained.