Which of the following statements is true about a distribution that appears to have a gap when displayed histogram? A. The distribution must have an outlier. B. The distribution has a region between two data values where no data were observed. C. The distribution is approximately normal. D. The distribution cannot be symmetric. E. The distribution must be bimodal.

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.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. A:   91   84   83 107   81 100   91 126 106 B: 101   93 105 105 108 110   94 113 112 A: 118 133 104   84   80   77   90   92   90 B: 106   95 110 112 105   93 119   99 109 A: 106   95 110 112 105   93 119   99 109 B:   96 109 103 107 103 102 101   86   94 A: 109 113   90 121 120   85   91   91   97 B:   88 100 104 119 116 104 121 108   86 A:   95…

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. Suppose that 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. Wilderness District 1 2 3 4 January April 130 127 122 64 78 105 97 108 88 61 Does this information indicate that the peak wind gusts are higher in January than in April? Use a = 0.01. Solve the problem using the critical region method of testing. (Let d = January - April. Round your answers to three decimal places.) test statistic = critical value = Interpret your conclusion in the context of the application. O Reject the null hypothesis, there is insufficient evidence to claim average peak…

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. 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.