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.

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