You are given the sample mean and the population standard deviation. 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 $147.00. Assume the population standard deviation is $15.90.

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Construct a 90% confidence interval for the population mean.
The 90% confidence interval is OD
(Round to two decimal places as needed.)
Construct a 95% confidence interval for the population mean.
The 95% confidence interval is OD
(Round to two decimal places as needed.)
Interpret the results. Choose the correct answer below
O A. With 90% confidence, it can be said that the sample mean price lies in the first interval. With 95% confidence, it can be said that the sample mean price lies
in the second interval. The 95% confidence interval is wider than the 90%.
O B. With 90% confidence, it can be said that the population mean price lies in the first interval. With 95% confidence, it can be said that the population mea
price lies in the second interval. The 95% confidence interval is wider than the 90%.
OC. With 90% confidence, it can be said that the population mean price lies in the first interval. With 95% confidence, it can be said that the population mean
price lies in the second interval. The 95% confidence interval is namrower than the 90%.
n
Transcribed Image Text:Construct a 90% confidence interval for the population mean. The 90% confidence interval is OD (Round to two decimal places as needed.) Construct a 95% confidence interval for the population mean. The 95% confidence interval is OD (Round to two decimal places as needed.) Interpret the results. Choose the correct answer below O A. With 90% confidence, it can be said that the sample mean price lies in the first interval. With 95% confidence, it can be said that the sample mean price lies in the second interval. The 95% confidence interval is wider than the 90%. O B. With 90% confidence, it can be said that the population mean price lies in the first interval. With 95% confidence, it can be said that the population mea price lies in the second interval. The 95% confidence interval is wider than the 90%. OC. With 90% confidence, it can be said that the population mean price lies in the first interval. With 95% confidence, it can be said that the population mean price lies in the second interval. The 95% confidence interval is namrower than the 90%. n
You are given the sample mean and the population standard deviation. 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 $147.00. Assume the population standard deviation is $15.90.
Transcribed Image Text:You are given the sample mean and the population standard deviation. 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 $147.00. Assume the population standard deviation is $15.90.
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