In a random sample of 28 people, the mean commute time to work was 32.2 minutes and the standard deviation was 7.2 minutes. Assume the population is normally distributed and use a t-distribution to construct a 98% confidence interval for the population mean μ. What is the margin of error of μ? Interpret the results. The confidence interval for the population mean μ is (Round to one decimal place as needed.) The margin of error of μ is (Round to one decimal place as needed.) Interpret the results. O A. With 98% confidence, it can be said that the population mean commute time is between the bounds of the confidence interval. OB. It can be said that 98% of people have a commute time between the bounds of the confidence interval. OC. With 98% confidence, it can be said that the commute time is between the bounds of the confidence interval. O D. If a large sample of people are taken approximately 98% of them will have commute times between the bounds of the confidence interval.

Glencoe Algebra 1, Student Edition, 9780079039897, 0079039898, 2018
18th Edition
ISBN:9780079039897
Author:Carter
Publisher:Carter
Chapter10: Statistics
Section10.5: Comparing Sets Of Data
Problem 13PPS
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In a random sample of 28 people, the mean commute time to work was 32.2 minutes and the standard deviation was 7.2 minutes. Assume the population is
normally distributed and use a t-distribution to construct a 98% confidence interval for the population mean µ. What is the margin of error of µ? Interpret the results.
The confidence interval for the population mean μ is
(Round to one decimal place as needed.)
The margin of error of u is
(Round to one decimal place as needed.)
Interpret the results.
O A. With 98% confidence, it can be said that the population mean commute time is between the bounds of the confidence interval.
O B.
It can be said that 98% of people have a commute time between the bounds of the confidence interval.
O C.
With 98% confidence, it can be said that the commute time is between the bounds of the confidence interval.
O D. If a large sample of people are taken approximately 98% of them will have commute times between the bounds of the confidence interval.
Transcribed Image Text:In a random sample of 28 people, the mean commute time to work was 32.2 minutes and the standard deviation was 7.2 minutes. Assume the population is normally distributed and use a t-distribution to construct a 98% confidence interval for the population mean µ. What is the margin of error of µ? Interpret the results. The confidence interval for the population mean μ is (Round to one decimal place as needed.) The margin of error of u is (Round to one decimal place as needed.) Interpret the results. O A. With 98% confidence, it can be said that the population mean commute time is between the bounds of the confidence interval. O B. It can be said that 98% of people have a commute time between the bounds of the confidence interval. O C. With 98% confidence, it can be said that the commute time is between the bounds of the confidence interval. O D. If a large sample of people are taken approximately 98% of them will have commute times between the bounds of the confidence interval.
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