In: Statistics and Probability
            Thirty-one small communities in Connecticut (population near
10,000 each) gave an average of x(with a dash...
                
            Thirty-one small communities in Connecticut (population near
10,000 each) gave an average of x(with a dash above it) = 138.5
reported cases of larceny per year. Assume that σ is known to be
42.7 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     | 
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| upper limit     | 
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| 
 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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