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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 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.

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.

Glencoe Algebra 1, Student Edition, 9780079039897, 0079039898, 2018
Glencoe Algebra 1, Student Edition, 9780079039897, 0079039898, 2018
18th Edition
ISBN:9780079039897
Author:Carter
Publisher:Carter
Chapter10: Statistics
Section10.6: Summarizing Categorical Data
Problem 23PPS
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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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