GueS'i'm 6 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 Tries remaining: significance level of 0.01 . In a sample of 41 students at High School 1, she gets a sample mean of 21 .1 minutes and a sample standard deviation of 1 3.8 minutes. In a sample of 81 students at High School 2, she gets a sample mean of 17.4 minutes and a sample standard deviation of 4.6 minutes. Marked out of Assume the population variances are equal. 11.00 V Remove ag (a) What are the null and alternative hypotheses? Ho: p1-p2: = 0 0 HA: p1-u2: 1: 0 e (b) What is the test statistic? (Round your answer to 3 decimal places. if needed.) [:1 (c) Using the statistical table, the pvalue is 0.01