Suppose twenty-two communities have an average of x = 123.6 reported cases oflarceny per year. Assume that o is known to be 36.8 cases per year. Find a 90%, 95%,and 98% confidence interval for the population mean annual number of reportedlarceny cases in such communities. Compare the lengths of the confidence intervals.As the confidence levels increase, do the confidence intervals increase in length?The 90% confidence level has a confidence interval length of 121.1; the 95%confidence level has a confidence interval length of 144.3; and the 98% confidencelevel has a confidence interval length of 171.5. As the confidence level increases,the confidence interval length increases.Correct AnswerThe 90% confidence level has a confidence interval length of 25.8; the 95%confidence level has a confidence interval length of 30.8; and the 98% confidencelevel has a confidence interval length of 36.6. As the confidence level increases, theconfidence interval lengths increases.The 90% confidence level has a confidence interval length of 171.5; the 95%confidence level has a confidence interval length of 144.3; and the 98% confidencelevel has a confidence interval length of 121.1. As the confidence level increases,the confidence interval lengths decreases.The 90% confidence level has a confidence interval length of 7.8; the 95%confidence level has a confidence interval length of 6.6; and the 98% confidencelevel has a confidence interval length of 5.5. As the confidence level increases, theconfidence interval length decreases.You AnsweredThe 90% confidence level has a confidence interval length of 5.5; the 95%confidence level has a confidence interval length of 6.6; and the 98% confidencelevel has a confidence interval length of 7.8. As the confidence level increases, theconfidence interval lengths increases.

We are given, n=sample size=22x¯=sample mean=123.6σ=population standard deviation=36.8 As the…

ippose twenty-two communities have an average of x = 123.6 reported "ceny per year. Assume that o is known to be 36.8 cases per year. Find a d 98% confidence interval for the population mean annual number of r rceny cases in such communities. Compare the lengths of the confidenc s the confidence levels increase, do the confidence intervals increase in The 90% confidence level has a confidence interval length of 121.1; the 95 confidence level has a confidence interval length of 144.3; and the 98% co

ippose twenty-two communities have an average of x = 123.6 reported "ceny per year. Assume that o is known to be 36.8 cases per year. Find a d 98% confidence interval for the population mean annual number of r rceny cases in such communities. Compare the lengths of the confidenc s the confidence levels increase, do the confidence intervals increase in The 90% confidence level has a confidence interval length of 121.1; the 95 confidence level has a confidence interval length of 144.3; and the 98% co

MATLAB: An Introduction with Applications

6th Edition

ISBN:9781119256830

Author:Amos Gilat

Publisher:Amos Gilat

Chapter1: Starting With Matlab

Section: Chapter Questions

Problem 1P

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Concept explainers

Estimation

A new framework of data analysis where the new statistical methods are used for interpreting the results and analyzing the data is known as estimation in statistics.

Question

Suppose twenty-two communities have an average of x = 123.6 reported cases of
larceny per year. Assume that o is known to be 36.8 cases per year. Find a 90%, 95%,
and 98% 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?
The 90% confidence level has a confidence interval length of 121.1; the 95%
confidence level has a confidence interval length of 144.3; and the 98% confidence
level has a confidence interval length of 171.5. As the confidence level increases,
the confidence interval length increases.
Correct Answer
The 90% confidence level has a confidence interval length of 25.8; the 95%
confidence level has a confidence interval length of 30.8; and the 98% confidence
level has a confidence interval length of 36.6. As the confidence level increases, the
confidence interval lengths increases.
The 90% confidence level has a confidence interval length of 171.5; the 95%
confidence level has a confidence interval length of 144.3; and the 98% confidence
level has a confidence interval length of 121.1. As the confidence level increases,
the confidence interval lengths decreases.
The 90% confidence level has a confidence interval length of 7.8; the 95%
confidence level has a confidence interval length of 6.6; and the 98% confidence
level has a confidence interval length of 5.5. As the confidence level increases, the
confidence interval length decreases.
You Answered
The 90% confidence level has a confidence interval length of 5.5; the 95%
confidence level has a confidence interval length of 6.6; and the 98% confidence
level has a confidence interval length of 7.8. As the confidence level increases, the
confidence interval lengths increases.

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