13. (0.5 + 0.5 + 1 + 1+ 1 = 4 marks) A study was conducted to compare the length of time between men and women to assemble a certain product. Sample standard deviation in a random sample of times for 11 men was 8.6 minutes, and sample standard deviation in a random sample of times for 13 women was 6.9 minutes. Past experience indicate that population of times is normal for both men and women. Is it sufficient sample evidence to conclude that the variance of the lengths of time for men is larger than the variance of the lengths of time for women? Test appropriate hypothesis at a =0.05 level of significance using critical value approach. Use S / S as test statistic. Construct a 90% confidence interval for the ratio of two population variances. a. State null and research hypotheses H : H, : b. The observed value of test statistic is c. State the rejection region d. Insert the word sufficient or insufficient into the following statement. There is sample evidence to conclude that the variance of the lengths of time for men is larger than the variance of the lengths of time for women. e. Insert the missing numbers, which are endpoints of 90% confidence interval for the ratio of two population variances. Keep two digits after decimal point in the answer. Page 12 14