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 0.01. In a sample of 51 students at High School 1, she gets a sample mean of 20.7 minutes and a sample standard deviation of 3.7 minutes. In a sample of 51 students at High School 2, she gets a sample mean of 17.0 minutes and a sample standard deviation of 4.9 minutes. Assume the population variances are equal. (a) What are the null and alternative hypotheses? Ho: p 0 HA: p 0 (b) What is the test statistic? (Round your answer to 3 decimal places, if needed.) (c) Using the statistical table, the p-value is 0.01