Statistics 13 Solution for Homework #5

c. The hypotheses are:The test statistic is t = 1.89.'There is no evidence to reject Ho for a= .05. There is insufficient evidence to indicatethe mean is different than 1000 for a= .05.'fliere is evidence to reject Ho for a > .076. There is evidence to indicate the mean isdifferent than I000 for a > .076.6.62 a. To determine if the average number of books read by all students who participate in theextensive reading program exceeds 25, we test:b. The rejection region requires a=.05 in the upper tail of the t distribution with df = n - 1= 14 - 1 = 13. From Table V1, Appendix A, toj = 1.771. The rejection region is t >1.77 1.X-,D, - 31.64-25c. 'I'he test statistic is t = - S 10.485= 2.37d. Since the observed value of the test statistic falls in the rejection region(t = 2.37 > 1.771), Ho is rejected. There is sufficient evidence to indicate that theaverage number of books read by all students who participate in the extensive readingprogram exceeds 25 at a = .05.e. The conditions required for this test is a random sample from the target population andthe population from which the sample is selected is approximately normal.6.66 a. To deter~iiine if the mean repellency percentage of the new mosquito repellent is lessthan 95, we test:Z-Po 83 - 95The test statistic is t = ----- ------ = -1.79s/& 15/&