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9.51 Student Ages Suppose that 200 statistics students each took a random sample (with replacement) of 50 students at their college and recorded the ages of the students in their sample. Then each student used his or her data to calculate a 95% confidence interval for the mean age of all students at the college. How many of the 200 intervals would you expect to capture the true population mean age, and how many expect not to capture the true population mean? Explain by showing would you your calculation.

9.51 Student Ages Suppose that 200 statistics students each took a random sample (with replacement) of 50 students at their college and recorded the ages of the students in their sample. Then each student used his or her data to calculate a 95% confidence interval for the mean age of all students at the college. How many of the 200 intervals would you expect to capture the true population mean age, and how many expect not to capture the true population mean? Explain by showing would you your calculation.

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
Section10.4: Distributions Of Data
Problem 19PFA
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9.51
lear tion red... nd 9.2 AUG 9.50 9.51 9.52 A Pulse Difference The following numbers are the differences in pulse rate (beats per minute) before and after running for 12 randomly selected people. 24, 12, 14, 12, 16, 10, 0, 4, 13, 42, 4, and 16 Positive numbers mean the pulse rate went up. Test the hypothesis that the mean difference in pulse rate was more than 0, using a significance level of 0.05. Assume the population distribution is Normal. Student Ages Suppose that 200 statistics students each took a random sample (with replacement) of 50 students at their college and recorded the ages of the students in their sample. Then each student used his or her data to calculate a 95% confidence interval for the mean age of all students at the college. How many of the 200 intervals would you expect to capture the true population mean age, and how many would you expect not to capture the true population mean? Explain by showing your calculation. Presidents' Ages at Inauguration A 95% confidence interval for the ages of the first six presidents at their inaugurations is (56.2, 59.5). Either interpret the interval or explain why it should not be interpreted. N & Aa 493 W
Transcribed Image Text:lear tion red... nd 9.2 AUG 9.50 9.51 9.52 A Pulse Difference The following numbers are the differences in pulse rate (beats per minute) before and after running for 12 randomly selected people. 24, 12, 14, 12, 16, 10, 0, 4, 13, 42, 4, and 16 Positive numbers mean the pulse rate went up. Test the hypothesis that the mean difference in pulse rate was more than 0, using a significance level of 0.05. Assume the population distribution is Normal. Student Ages Suppose that 200 statistics students each took a random sample (with replacement) of 50 students at their college and recorded the ages of the students in their sample. Then each student used his or her data to calculate a 95% confidence interval for the mean age of all students at the college. How many of the 200 intervals would you expect to capture the true population mean age, and how many would you expect not to capture the true population mean? Explain by showing your calculation. Presidents' Ages at Inauguration A 95% confidence interval for the ages of the first six presidents at their inaugurations is (56.2, 59.5). Either interpret the interval or explain why it should not be interpreted. N & Aa 493 W
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