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4. A sociologist was investigating the ages of grandparents of high school students. From a random sample of 10 high school students, the sociologist collected
4. A sociologist was investigating the ages of grandparents of high school students. From a random sample of 10 high school students, the sociologist collected data on the current ages, in years, of the students' maternal grandparents. The data are shown in the table below. Student Standard m U I Mean Deviation Age of grandmother 2 2 2 69.8 8.38 Age of grandfather 60 2 2 71.6 6.65 Difference 2 T -1.8 5.81 (a) Construct and interpret a 95 percent confidence interval for the population mean difference in age (age of grandmother minus age of grandfather) of the maternal grandparents of high school students.(b) One of the sociologist's research questions was about the mean difference in age without regard to which grandparent is older. The interval constructed in part (a) does not address such a question. Based on the sample of high school students, give the value of the point estimate for the mean difference in age that could be used to address the sociologist's
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