Thirty small communities in Connecticut (population near 10,000 each) gave an average of x = 139.3 reported cases of larceny per year. Assume that & Is (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? (Round your answers to one decimal place.) lower limit upper limit 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? (Round your answers to one decimal place.) lower limit upper limit 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? (Round your answers to one decimal place.) lower limit upper limit. margin of error

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Thirty small communities in Connecticut (population near 10,000 each) gave an average of x = 139.3 reported cases of larceny per year. Assume that o is known to be 40.7 cases per year.
(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? (Round your answers to one
decimal place.)
lower limit
upper limit
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? (Round your answers to one
decimal place.)
lower limit
upper limit
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? (Round your answers to one
decimal place.)
lower limit
upper limit
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?
O As the confidence level increases, the margin of error decreases.
As the confidence level increases, the margin of error increases.
OAs the confidence level increases, the margin of error remains the same.
(el
Compare the lengths of the confidence intervals for narts (a)through (oc As the confidence levels increase do the confidence intervals increase in lenath?
Aol.
O 4:11
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esc
Ce
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Transcribed Image Text:Thirty small communities in Connecticut (population near 10,000 each) gave an average of x = 139.3 reported cases of larceny per year. Assume that o is known to be 40.7 cases per year. (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? (Round your answers to one decimal place.) lower limit upper limit 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? (Round your answers to one decimal place.) lower limit upper limit 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? (Round your answers to one decimal place.) lower limit upper limit 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? O As the confidence level increases, the margin of error decreases. As the confidence level increases, the margin of error increases. OAs the confidence level increases, the margin of error remains the same. (el Compare the lengths of the confidence intervals for narts (a)through (oc As the confidence levels increase do the confidence intervals increase in lenath? Aol. O 4:11 acer esc Ce @ %23 24 & 3. 4. 6. 7 8
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