300 CHAPTER 6 Normal Probability Distributions Statistical Literacy and Critical Thinking 1.Satisfying Requirements Data Set 1 “Body Data” in Appendix B includes a sample of 147 pulse rates of randomly selected women. Does that sample satisfy the following requirement: (1) The sample appears to be from a normally distributed population; or (2) the sample has a size of n 7 30? 2. Histogram and Normal Quantile Plot Pulse rates of women are normally distributed. If we construct a histogram and normal quantile plot using the same sample of 147 pulse rates described in the preceding exercise, describe the appearance of those two graphs. 3.Normal Quantile Plot After constructing a histogram of the ages of the 147 women included in Data Set 1 “Body Data” in Appendix B, you see that the histogram is far from being bell-shaped. What do you now know about the pattern of points in the normal quantile plot? 4.Assessing Normality The accompanying histogram is constructed from the pulse rates of the 153 men included in Data Set 1 “Body Data” in Appendix B. If you plan to conduct further statistical tests and there is a requirement of a normally distributed population, what do you conclude about the population distribution based on this histogram? 6-5 Basic Skills and Concepts Interpreting Normal Quantile Plots. In Exercises 5–8, examine the normal quantile plot and determine whether the sample data appear to be from a population with a normal distribution. 5.Ages of Presidents The normal quantile plot represents the ages of presidents of the United States at the times of their inaugurations. The data are from Data Set 22 “Presidents” in Appendix B.
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