Q #1

7. [0.74/1 Points] DETAILS PREVIOUS ANSWERS BBUNDERSTAT12 8.4.009.MI.S. MY NOTES ASK YOUR TEACHER PRACTICE ANOTHER In this problem, assume that the distribution of differences is approximately normal. Note: For degrees of freedom d.f. not in the Student's & table, use the closest d.f. that is smaller. In some situations, this choice of d.f. may increase the P-value by a small amount and therefore produce a slightly more "conservative" answer. Are America's top chief executive officers (CEOs) really worth all that money? One way to answer this question is to look at row B, the annual company percentage increase in revenue, versus row A, the CEO's annual percentage salary increase in that same company. Suppose a random sample of companies yielded the following data: B: Percent increase 24 25 25 18 4 21 37 for company A: Percent increase 21 25 27 14 19 30 for CEO LA USE SALT Do these data indicate that the population mean percentage increase in corporate revenue (row B) is different from the population mean percentage increase in CEO salary? Use a 5% level of significance. (Let d = B - A.) (a) What is the level of significance? State the null and alternate hypotheses. O Hold > 0; H 1: ud = 0 O Hold = 0; Hug >o OHOHd = 0: H 1: Hgo (b) What sampling distribution will you use? What assumptions are you making? The standard normal. We assume that d has an approximately uniform distribution. The Student's t. We assume that d has an approximately normal distribution. The standard normal. We assume that d has an approximately normal distribution. The Student's t. We assume that d has an approximately uniform distribution. What is the value of the sample test statistic? (Round your answer to three decimal places.)8. [0.74/1 Points] DETAILS PREVIOUS ANSWERS BBUNDERSTAT12 8.4.011.5. MY NOTES ASK YOUR TEACHER PRACTICE ANO In this problem, assume that the distribution of differences is approximately normal. Note: For degrees of freedom d.f. not in the Student's t table, use the closest d.f. that is smaller. In some situations, this choice of d.f. may increase the P-value by a small amount and therefore produce a slightly more "conservative" answer, At five weather stations on Trail Ridge Road in Rocky Mountain National Park, the peak wind gusts (in miles per hour) for January and April are recorded below. Weather Station 2 3 January 135 122 128 64 78 April 104 111 8 8 LA USE SALT Does this information indicate that the peak wind gusts are higher in January than in April? Use a = 0.01. (Let d = January - April.) (a) What is the level of significance? State the null and alternate hypotheses. Will you use a left-tailed, right-tailed, or two-tailed test? Holly = 0; Hilly > 0; right-tailed O Hold = 0; Hilly = 0; right-tailed O Holly = 0; H1: ud = 0; two-tailed O Hold = 0; H1: My 0; Hit uly = 0; right-tailed Holly = 0; H1: ud > 0; right-tailed O Holly = 0: H1: ud # 0; two-tailed (b) What sampling distribution will you use? What assumptions are you making? The standard normal. We assume that d has an approximately normal distribution. The Student's t. We assume that d has an approximately normal distribution. The standard normal. We assume that d has an approximately uniform distribution. O The Student's t. We assume that d has an approximately uniform distribution. What is the value of the sample test statistic? (Round your answer to three decimal places.)10. [0.74/1 Points] DETAILS PREVIOUS ANSWERS BBUNDERSTAT12 8.4.018.5. MY NOTES ASK YOUR TEACHER PRACTICE ANOTHER In this problem, assume that the distribution of differences is approximately normal. Note: For degrees of freedom d.f. not in the Student's t table, use the closest d.f. that is smaller. In some situations, this choice of d.f. may increase the P-value by a small amount and therefore produce a slightly more "conservative" answer. A : In the following data pairs, A represents the cost of living index for utilities and B represents the cost of living index for transportation. The data are paired by metropolitan areas in the United States. A random sample of 46 metropolitan areas gave the following information. 90 84 86 107 82 100 102 105 125 108 108 106 A: 118 133 104 B: 106 84 95 80 110 112 77 90 105 93 92 90 119 99 109 A: 106 B: 96 95 109 110 112 105 103 93 119 101 99 109 A: 109 113 B: 88 100 104 121 120 119 104 121 108 86 A: 95 100 115 99 86 88 106 80 108 90 127 LO USE SALT Do the data indicate that the U.S. population mean cost of living index for utilities is less than that for transportation in these areas? Use a = 0.05. (Let d = A - B.) (a) What is the level of significance? State the null and alternate hypotheses. Will you use a left-tailed, right-tailed, or two-tailed test? Ho: My = 0; H1: ud 0; right-tailed O Ho: My