Use the following to answer questions 26-28. A SRS of 20 third grade children is selected in Chicago and each is given a test to measure his or her reading ability. In the sample, the mean score is 64 points and the standard deviation is 12 points. 26. The standard error of the mean is a. 14.31. b. 7.20. c. 2.68. d. 0.60. 27. We are interested in a 95% confidence interval for the population mean score. The margin of error associated with the confidence interval is a. 2.68 points. b. 4.64 points. c. 5.62 points. d. 6.84 points. 28. A 90% confidence interval for the population mean score based on these data is a. 64+ 2.68 points. b. 64 + 4.64 points. c. 64+5.62 points. d. 641 6.84 points . 29. The appraised values of three recently sold houses in the Columbus area are (in thousands of dollars) 160, 215, and 195. The standard error of the mean of these three appraised values is a. 190.00. b. 27.84. c. 22.73. d. 16.07.Use the following to answer questions 31-35. A food company is developing a new breakfast drink, and their market analysts are currently working on preliminary taste-testing studies. To help with their marketing strategy, they were first interested in whether preference for the new product was related to a person's gender. There were 100 male and 100 female volunteers available for the taste test. Both the males and females tasted the product and rated the flavor on a scale of 1 to 10, 1 being "very unpleasant" and 10 being "very pleasant." The mean rating for males was X - 6. 4, with a standard deviation S = 1.5 . The mean rating for females was X, = 7.0, with a standard deviation S2 = 2.0. Let / and /, represent the mean ratings we would observe for the populations of males and females, respectively, and assume our samples can be regarded as samples from these populations. 31. A 90% confidence interval for 4 - LL, is (use the conservative value for the degrees of freedom) a. -0.6+0.25. b . -0.6+0.32. ..-0.6+0.42. d. -0.6+0.5. 32. Suppose the researcher had wished to test the hypotheses Ho: M = M2 , Ha: M # 12 The numerical value of the two-sample z statistic is a. 2.00. b . 2.40. C. 3.25. d. 9.60. 33. Suppose the researcher had wished to test the hypotheses Ho: M = M2 , Ha: M # 12 The P-value for the test is (use the conservative value for the degrees of freedom) a. larger than 0.10. b. between 0.10 and 0.05. C. between 0.05 and 0.01. d. below 0.01. 34. Which of the following would lead us to believe that the t procedures were not safe to use here? a. The sample medians and means for the two groups were slightly different. b. The distributions of the data were moderately skewed. c. The data are integers between 1 and 10 and so cannot be normal. d. Only the most severe departures from normality would lead us to believe the t procedures were not safe to use. 35. If we had used the more accurate software approximation to the degrees of freedom, we would have used which of the following for the number of degrees of freedom for the t procedures? a. 198. b.191 C. 184 d. 99 Focus + 280%