Chapter 12, Problem 8CRE

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?

Technology Project

Does Weight Change with Age? Refer lo 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.