Megan would like to test whether the average commute time is noticeably different for students at two different high schools in her city, using a significance level of 0.05. In a sample of 51 students at High School 1, she gets a sample mean of 21.2 minutes and a sample standard deviation of 3.3 minutes. In a sample of 71 students at High School 2, she gets a sample mean of 18.1 minutes and a sample standard deviation of 4.2 minutes. Assume the population variances are equal. (a) What are the null and alternative hypotheses? H₀: H_A: (b) What is the test statistic? (Round your answer to 3 decimal places, if needed.) (c) Using the statistical table, the p-value is (d) Based on the p-value, Megan should reject or fail to reject the null hypothesis. (e) This data provides or does not provide sufficient evidence to conclude that the average commute time for students at High School 1 is less than or more than or different from the average commute time for students at High School 2.