640 CHAPTER 12 Analysis of Variance 8.Win 4 Lottery Shown below is a histogram of digits selected in California’s Win 4 lottery. Each drawing involves the random selection (with replacement) of four digits between 0 and 9 inclusive. a. What is fundamentally wrong with the graph? b. Does the display depict a normal distribution? Why or why not? What should be the shape of the histogram? c. Identify the frequencies, then test the claim that the digits are selected from a population in which the digits are all equally likely. Is there a problem with the lottery? Does Weight Change with Age? Refer to Data Set 1 “Body Data” in Appendix B and use the weights of males partitioned into the three different age brackets of 18–25, 26–40, and 41–80. Test the claim that men in those three age brackets have the same mean weight. Sorting One challenge in this project is identifying the weights of men in the three age brackets. First, use the sort feature of your technology to sort all of the columns using Gender as the basis for sorting. You can then delete all of the rows representing females. Next, sort all of the columns using Age as the basis for sorting. It will then be much easier to identify the weights in the different age brackets. Technology Project Refer to Data Set 46 “Dow Jones Industrial Average (DJIA)” in Appendix B. That data set includes 31,784 records of opening, high, low, and closing values of the Dow Jones Industrial Average. Test the claim that the values from those four variables have the same mean. Big (or Very Large) Data Project FROM DATA TO DECISION Critical Thinking: Does Exposure to Lead Affect IQ Scores of Children? An important environment>health study involved children who lived within 7 km (about 4 miles) of a large ore smelter in El Paso, Texas. A smelter is used to melt the ore in order to separate the metals in it. Because the smelter emitted lead pollution, there was concern that these children would somehow suffer negative health effects. Data from the study are included in Data Set 11 “IQ and Lead” in Appendix B. The focus of this Project is to investigate the possible effect of lead exposure on IQ scores as measured by the Wechsler intelligence scale.
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