You are given the sample mean and the population standard de ation Use this info

Question

You are given the sample mean and the population standard de ation Use this information to construct the 90% and 95% confidence intervals for the population mean. Interpret the results and compare the widths of the confidence intervals. If convenient, use technology to construct the confidence intervals A random sample of 40 home theater systems has a mean price of $110.00. Assume the population standard deviation is $15.40. Construct a 90% confidence interval for the population mean The 90% confidence interval is(??). Round to two decimall places as needed) Enter your answer in the edit fields and then click Check Answer Clear All remaining tomer Support) Help/FAO Blog Contact Careers Privacy Policy Tax Policy Terms of Service Return Policy Sell on Wish Trademark ProtectionB Marble I Wish-G

Explanation / Answer

Sol:

n=40

xbar=110

sd=15.40

Z crit for 90%=1.645

90% confidence interval for mean is

xbar-Z(sima/sqrt(n),xbar+Z(sima/sqrt(n)

110-1.645*15.40/sqrt(40),110+.645*15.40/sqrt(40),

105.99,114.01

the 90% confidence interval is

105.99,114.01

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