Use the information to construct 90% and 99% confidence intervals for the population mean. Interpret the results and compare the widths of the confidence intervals. Researchers surveyed a random sample of 32 U.S. workers ages 16 years and over who did not work from home and asked how long (in minutes) it takes them to get from home to work. The responses are listed. 15 27 47 37 48 27 27 24 39 16 44 18 35 26 39 33 71 14 11 53 30 54 30 74 41 26 20 45 34 25 59 85 From past studies, the researchers assume that o is 17.9 minutes. C Construct the 90% and 99% confidence intervals for the population mean. Which interval is wider? If convenient, use technology to construct the confidence intervals. The 90% confidence interval is (Round to one decimal place as needed.)

Glencoe Algebra 1, Student Edition, 9780079039897, 0079039898, 2018
18th Edition
ISBN:9780079039897
Author:Carter
Publisher:Carter
Chapter10: Statistics
Section10.3: Measures Of Spread
Problem 25PFA
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Use the information to construct 90% and 99% confidence intervals for the population mean. Interpret the results and compare the widths of the confidence intervals.
Researchers surveyed a random sample of 32 U.S. workers ages 16 years and over who did not work from home and asked how long (in minutes) it takes them to get from home to work. The responses are listed.
44 18
27 47 37 48 27 27 24 39 16 44
18 35 26 39 33 15
71 14 11 53 30 54 30 74 41 26 20 45 34 25 59 85
From past studies, the researchers assume that o is 17.9 minutes.
Construct the 90% and 99% confidence intervals for the population mean. Which interval is wider? If convenient, use technology to construct the confidence intervals.
The 90% confidence interval is (
). (Round to one decimal place as needed.)
Transcribed Image Text:Use the information to construct 90% and 99% confidence intervals for the population mean. Interpret the results and compare the widths of the confidence intervals. Researchers surveyed a random sample of 32 U.S. workers ages 16 years and over who did not work from home and asked how long (in minutes) it takes them to get from home to work. The responses are listed. 44 18 27 47 37 48 27 27 24 39 16 44 18 35 26 39 33 15 71 14 11 53 30 54 30 74 41 26 20 45 34 25 59 85 From past studies, the researchers assume that o is 17.9 minutes. Construct the 90% and 99% confidence intervals for the population mean. Which interval is wider? If convenient, use technology to construct the confidence intervals. The 90% confidence interval is ( ). (Round to one decimal place as needed.)
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