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

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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.
Transcribed Image Text: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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