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I Report: Larceny Thirty small communities in Connecticut (poplla ar 10,000 each) gave an average of x 138.5 reported cases of larcer ar. Assume that o is known to be 42.6 cases per year (Reference: Crin -United States, Federal Bureau of Investigation). Find a 90% confidence interval for the population mean annual numl reported larceny cases in such communities. What is the margin of en Find a 95% confidence interval for the population mean annual numE %3D

I Report: Larceny Thirty small communities in Connecticut (poplla ar 10,000 each) gave an average of x 138.5 reported cases of larcer ar. Assume that o is known to be 42.6 cases per year (Reference: Crin -United States, Federal Bureau of Investigation). Find a 90% confidence interval for the population mean annual numl reported larceny cases in such communities. What is the margin of en Find a 95% confidence interval for the population mean annual numE %3D

MATLAB: An Introduction with Applications
MATLAB: An Introduction with Applications
6th Edition
ISBN:9781119256830
Author:Amos Gilat
Publisher:Amos Gilat
Chapter1: Starting With Matlab
Section: Chapter Questions
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19. FBI Report: Larceny Thirty small communities in Connecticut (population near 10,000 each) gave an average of x 138.5 reported cases of larceny per year. Assume that o is known to be 42.6 cases per year (Reference: Crime in the United States, Federal Bureau of Investigation). (a) Find a 90% confidence interval for the population mean annual number of reported larceny cases in such communities. What is the margin of error? (b) Find a 95% confidence interval for the population mean annual number of reported larceny cases in such communities. What is the margin of error? (c) Find a 99% confidence interval for the population mean annual number of reported larceny cases in such communities. What is the margin of error? (d) Compare the margins of error for parts (a) through (c). As the confidence levels increase, do the margins of error increase? (e) Critical Thinking Compare the lengths of the confidence intervals for parts (a) through (c). As the confidence levels increase, do the confidence intervals increase in length? a) Interval: b) Interval: c) Interval: d) Yes or No? e) Yes or No? to Margin of error: Margin of error: ; Margin of error: to to
Transcribed Image Text:19. FBI Report: Larceny Thirty small communities in Connecticut (population near 10,000 each) gave an average of x 138.5 reported cases of larceny per year. Assume that o is known to be 42.6 cases per year (Reference: Crime in the United States, Federal Bureau of Investigation). (a) Find a 90% confidence interval for the population mean annual number of reported larceny cases in such communities. What is the margin of error? (b) Find a 95% confidence interval for the population mean annual number of reported larceny cases in such communities. What is the margin of error? (c) Find a 99% confidence interval for the population mean annual number of reported larceny cases in such communities. What is the margin of error? (d) Compare the margins of error for parts (a) through (c). As the confidence levels increase, do the margins of error increase? (e) Critical Thinking Compare the lengths of the confidence intervals for parts (a) through (c). As the confidence levels increase, do the confidence intervals increase in length? a) Interval: b) Interval: c) Interval: d) Yes or No? e) Yes or No? to Margin of error: Margin of error: ; Margin of error: to to
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