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. Arandom sample of 60 home theater systems has a mean price of $119.00. Assume the population standard deviation is $19.90 Construct a 90% confidence interval for the population mean. The 90% confidence interval is ( ). (Round to two decimal places as needed.) Construct a 95% confidence interval for the population mean. The 95% confidence interval is AN) (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 mean price lies in the second interval. The 95% confidence interval is narrower than the 90% O C. 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 wider than the 90% Next Help me solve this View an example Get more help- 825 PM O 63°E Sunny A d0ngom

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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.
Arandom sample of 60 home theater systems has a mean price of $119.00. Assume the population standard deviation is $19.90.
Construct a 90% confidence interval for the population mean.
The 90% confidence interval is ( D.
(Round to two decimal places as needed.)
Construct a 95% confidence interval for the population mean.
The 95% confidence interval is ( ID
(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 mean price lies in the second interval. The 95% confidence interval is
narrower than the 90%.
O C. 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
wider than the 90%.
Next
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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. Arandom sample of 60 home theater systems has a mean price of $119.00. Assume the population standard deviation is $19.90. Construct a 90% confidence interval for the population mean. The 90% confidence interval is ( D. (Round to two decimal places as needed.) Construct a 95% confidence interval for the population mean. The 95% confidence interval is ( ID (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 mean price lies in the second interval. The 95% confidence interval is narrower than the 90%. O C. 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 wider than the 90%. Next Help me solve this View an example Get more help - 825 PM 63°F Sunny a 0) 10/31/2021 99+ O Type here to search Insert Delete PrtSc F11 F12 F9 F10 F7 F8 F6 F5 F4 Esc F3 Num Lock F1 F2 *4 Backspace & // %23 7 4 PgUp AU Home E Tab Enter G H. J. K D F CapsLk 2 Shift End B Shift PgUp Alt Ctrl End Home Alt Crl Fn * 00 因
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