QUESTION 2 8 points Saved Fifteen primary school students were selected from each of the two high schools in a city. The table below shows the amount of time (in minutes) each student has spent travelling from home to school each week. A 30 37 36 36 39 29 31 38 37 40 42 44 41 40 36 B 28 32 29 33 38 30 37 36 31 30 29 26 27 26 31 a. The standard deviation of the time that the students of School A have spent is minutes. (Round to two decimal places.) (2 marks) b. The value of the F statistic that tests whether the variances of their times spent are equal is (Round to two decimal places.) (2 marks) c. To test the hypotheses of the two population variances: H : 62 (A) = 6 2 (B) H : G2 (A) # 62 (B) the critical values of the F statistics for the rejection region are and if a = 109%. (Round to two decimal places.) (2 marks) d. The 95% confidence interval for the difference between the averaged time that the students of School A and those of School B have spent is [ J. (Round to two decimal places.) (2 marks)