Homework 14: Problem 4 Previous Problem Problem List Next Problem (1 point) The hypothesis test H0112=3-5 HUM[429535 is to be carried out for population 1 and 2 where (71 and 0-2 are not known. A random sample of 45 from population 1 has a mean of 76.7 and a standard deviation of 6.6. A random sample of 33 from population 2 has a standard deviation of 9.5. The test statistic was found to be IC = 0.77951. What was the mean of the sample from population 2? X2: Homework 14: Problem 5 Previous Problem Problem List Next Problem (1 point) A matched pairs experiment is carried out, yielding the following data: n = 10, 1 = 0.2, 3,1 = 0.19460 Is there evidence, at an a = 0.15 level of significance, to conclude that there is a difference between the two sets of measurements? Carry out an appropriate hypothesis test, filling in the information requested. A. The value of the test statistic: B. The degree of freedom for the distribution: C. The pvalue is approximately D. Your decision for the hypothesis test: A. Do Not Reject H1 . B. Reject H 0. C. Reject H1 . D. Do Not Reject H0. Homework 14: Problem 6 Previous Problem Problem List Next Problem (1 point) A company that sponsors LSAT prep courses would like to be able to claim that their courses improve scores. To test this, they take a sample of 8 people, have each take an initial diagnostic test, then take the prep course, and then take a posttest after the course. The test results are below (scores are out of 100%): Person Initial Test PostTest 1 72 82 2 60 62 3 72 84 4 73 75 5 70 73 6 72 76 7 75 72 8 72 80 Is there evidence, at an a = 0.1 level of significance, to conclude that the prep course improves scores? Carry out an appropriate hypothesis test, filling in the information requested. (Arrange your data so that the standardized test statistic is for the change from the initial test to the posttest.) A. The value of the standardized test statistic: B. Your decision for the hypothesis test: A. Reject H0. B. Reject H1 . C. Do Not Reject H1 . D. Do Not Reject H0