45) The principal of a middle school claims that test scores of the seventh-graders at her school vary less than the test scores of seventh-graders at a neighboring school, which have variation described by ̃ ̃ = 14.7. A) H0: ̃ ̃ = 14.7, H1: ̃ ̃ < 14.7 B) H0: ̃ ̃ < 14.7, H1: ̃ ̃ > 14.7 C) H0: ̃ ̃ = 14.7, H1: ̃ ̃ > 14.7 D) H0: ̃ ̃ > 14.7, H1: ̃ ̃ ≤ 14.7 46) Random samples of 13 women and 11 men yielded the following scores on a test: Women: 70, 78, 62, 96, 75, 68, 41, 74, 80, 47, 73, 94, 65 Men: 72, 60, 52, 87, 66, 74, 95, 50, 81, 70, 72 Use a 0.05 significance level to test the claim that test scores for women have a larger standard deviation than test scores for men. (Note: s1 = 15.588 and s2 = 13.754). Find sd. 47) The differences between two sets of dependent data are: 0.48, 0.63, 0.6, 0.54, 0.42 . A) 0.09 B) 0.14 C) 0.05 D) 0.27 Use the given information to find the P-value. Use a 0.05 significance level to reject the null hypothesis or fail to reject. 48) The test statistic in a two-tailed test is z = 1.95. A) 0.0512; fail to reject the null hypothesis B) 0.0256; reject the null hypothesis C) 0.0512; reject the null hypothesis D) 0.9744; fail to reject the null hypothesis 49) The test statistic in a left-tailed test is z = -2.05. A) 0.0453 fail to reject the null hypothesis B) 0.0202; reject the null hypothesis C) 0.4798; fail to reject the null hypothesis D) 0.0404; reject the null hypothesis Assume that you plan to use a significance level of ̃ ̃ = 0.05 to test the claim that p1 = p2. Use the given sample sizes and numbers of successes to find the z test statistic for the hypothesis test. 50) A random sampling of sixty pitchers from the National League and fifty-two pitchers from the American League showed that 12 National and 7 American League pitchers had E.R.A.'s below 3.5. A) z = 0.919 B) z = 140.987 C) z = 1.195 D) z = 12.140