Suppose thirty-nine communities have an average of x = 122.1 reported cases of larceny per year. Assume that o is known to be 37.4 cases per year. Find an 80%, 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? Round your answers to one decimal place. O a. The 80% confidence level has a confidence interval length of 95.7; the 95% confidence level has a confidence interval length of 146.6; and the 98% confidence level has a confidence interval length of 174.3. As the confidence level increases, the confidence interval length increase. O b. The 80% confidence level has a confidence interval length of 2.5; the 95% confidence level has a confidence interval length of 3.8; and the 98% confidence level has a confidence interval length of 4.5. As the confidence level increases, the confidence interval lengths increase. O c. The 80% confidence level has a confidence interval length of 4.5; the 95% confidence level has a confidence interval length of 3.8; and the 98% confidence level has a confidence interval length of 2.5. As the confidence level increases, the confidence interval length decrease. O d. The 80% confidence level has a confidence interval length of 15.3; the 95% confidence level has a confidence interval length of 23.5; and the 98% confidence level has a confidence interval length of 27.9. As the confidence level increases, the confidence interval lengths increase. O e. The 80% confidence level has a confidence interval length of 15.3; the 95% confidence level has a confidence interval length of 23.5; and the 98% confidence level has a confidence interval length of 27.9. As the confidence level increases, the confidence interval lengths decrease.

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Suppose thirty-nine communities have an average of x = 122.1 reported cases of larceny per year. Assume that o is known to be 37.4 cases per year.
Find an 80%, 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? Round your answers to
one decimal place.
a. The 80% confidence level has a confidence interval length of 95.7; the 95% confidence level has a confidence interval length of 146.6; and
the 98% confidence level has a confidence interval length of 174.3. As the confidence level increases, the confidence interval length
increase.
b. The 80% confidence level has a confidence interval length of 2.5; the 95% confidence level has a confidence interval length of 3.8; and the
98% confidence level has a confidence interval length of 4.5. As the confidence level increases, the confidence interval lengths increase.
c. The 80% confidence level has a confidence interval length of 4.5; the 95% confidence level has a confidence interval length of 3.8; and the
98% confidence level has a confidence interval length of 2.5. As the confidence level increases, the confidence interval length decrease.
d. The 80% confidence level has a confidence interval length of 15.3; the 95% confidence level has a confidence interval length of 23.5; and
the 98% confidence level has a confidence interval length of 27.9. As the confidence level increases, the confidence interval lengths
increase.
e. The 80% confidence level has a confidence interval length of 15.3; the 95% confidence level has a confidence interval length of
23.5; and the 98% confidence level has a confidence interval length of 27.9. As the confidence level increases, the confidence
interval lengths decrease.
Transcribed Image Text:Suppose thirty-nine communities have an average of x = 122.1 reported cases of larceny per year. Assume that o is known to be 37.4 cases per year. Find an 80%, 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? Round your answers to one decimal place. a. The 80% confidence level has a confidence interval length of 95.7; the 95% confidence level has a confidence interval length of 146.6; and the 98% confidence level has a confidence interval length of 174.3. As the confidence level increases, the confidence interval length increase. b. The 80% confidence level has a confidence interval length of 2.5; the 95% confidence level has a confidence interval length of 3.8; and the 98% confidence level has a confidence interval length of 4.5. As the confidence level increases, the confidence interval lengths increase. c. The 80% confidence level has a confidence interval length of 4.5; the 95% confidence level has a confidence interval length of 3.8; and the 98% confidence level has a confidence interval length of 2.5. As the confidence level increases, the confidence interval length decrease. d. The 80% confidence level has a confidence interval length of 15.3; the 95% confidence level has a confidence interval length of 23.5; and the 98% confidence level has a confidence interval length of 27.9. As the confidence level increases, the confidence interval lengths increase. e. The 80% confidence level has a confidence interval length of 15.3; the 95% confidence level has a confidence interval length of 23.5; and the 98% confidence level has a confidence interval length of 27.9. As the confidence level increases, the confidence interval lengths decrease.
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