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4. Suppose twenty-seven communities have an average of x = 133.5 reported cases of larceny per year. Assume that σ is known to be 41.7 cases per year. Find an 80%, 90%, and 95% confidence interval for the population mean annual number of reported larceny cases in such communities. Compare the lengths of the confidence intervals. As the confidence levels increase, do the confidence intervals increase in length?

4. Suppose twenty-seven communities have an average of x = 133.5 reported cases of larceny per year. Assume that σ is known to be 41.7 cases per year. Find an 80%, 90%, and 95% confidence interval for the population mean annual number of reported larceny cases in such communities. Compare the lengths of the confidence intervals. As the confidence levels increase, do the confidence intervals increase in length?

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
Section10.5: Comparing Sets Of Data
Problem 14PPS
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4. Suppose twenty-seven communities have an average of x = 133.5 reported cases of larceny per year. Assume that σ is known to be 41.7 cases per year. Find an 80%, 90%, and 95% confidence interval for the population mean annual number of reported larceny cases in such communities. Compare the lengths of the confidence intervals. As the confidence levels increase, do the confidence intervals increase in length?
Transcribed Image Text:4. Suppose twenty-seven communities have an average of x = 133.5 reported cases of larceny per year. Assume that σ is known to be 41.7 cases per year. Find an 80%, 90%, and 95% confidence interval for the population mean annual number of reported larceny cases in such communities. Compare the lengths of the confidence intervals. As the confidence levels increase, do the confidence intervals increase in length?
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