In: Statistics and Probability
Thirty-five small communities in Connecticut (population near 10,000 each) gave an average of x = 138.5 reported cases of larceny per year. Assume that σ 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 |
Answer a)
Lower limit: 127.2
Upper limit: 149.8
Margin of error: 11.3
Answer b)
Lower limit: 125.0
Upper limit: 152.0
Margin of error: 13.5
Answer c)
Lower limit: 120.8
Upper limit: 156.2
Margin of error: 17.7