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 A B с DEFGHI J Mean 75 70 55 75 55 70 80 70 74 74 74 69.8 74 75 65 67 60 78 83 74 70 70 71.6 Difference 1 -5 -10 8-5-8 -3 -4 4 4 -1.8 Age of grandmother Age of grandfather Standard Deviation 8.38 6.65 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.

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(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 question.
Transcribed Image Text:(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 question.
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
ABCDEFG|H|I|J|Mean
Age of grandmother 75 70 55 75 55 70 80 70 74 74 69.8
Age of grandfather 74 75 65 67 60 78 83 74 70 70 71.6
Difference 1 -5 -10 8-5 -8 -3 -4 4 4 -1.8
Standard
Deviation
8.38
6.65
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.
Transcribed Image Text: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 ABCDEFG|H|I|J|Mean Age of grandmother 75 70 55 75 55 70 80 70 74 74 69.8 Age of grandfather 74 75 65 67 60 78 83 74 70 70 71.6 Difference 1 -5 -10 8-5 -8 -3 -4 4 4 -1.8 Standard Deviation 8.38 6.65 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.
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