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. From a random sample of 77 dates, the mean record high daily temperature in a certain city has a mean of 85.07°F. Assume the population standard deviation is 14.68°F.

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Statistics Question 22

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.
From a random sample of 77 dates, the mean record high daily temperature in a certain city has a mean of 85.07°F.
Assume the population standard deviation is 14.68°F.
The 90% confidence interval is (₁).
(Round to two decimal places as needed.)
The 95% confidence interval is
(Round to two decimal places as needed.)
Which interval is wider? Choose the correct answer below.
The 95% confidence interval
The 90% confidence interval
Interpret the results.
A. You can be 90% confident that the population mean record high temperature is outside the bounds of the 90%
confidence interval, and 95% confident for the 95% interval.
B. You can be certain that the population mean record high temperature is either between the lower bounds of
the 90% and 95% confidence intervals or the upper bounds of the 90% and 95% confidence intervals.
O C. You can be 90% confident that the population mean record high temperature is between the bounds of the 90%
confidence interval, and 95% confident for the 95% interval.
O D. You can be certain that the mean record high temperature was within the 90% confidence interval for
approximately 69 of the 77 days, and was within the 95% confidence interval for approximately 73 of the 77 days.
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. From a random sample of 77 dates, the mean record high daily temperature in a certain city has a mean of 85.07°F. Assume the population standard deviation is 14.68°F. The 90% confidence interval is (₁). (Round to two decimal places as needed.) The 95% confidence interval is (Round to two decimal places as needed.) Which interval is wider? Choose the correct answer below. The 95% confidence interval The 90% confidence interval Interpret the results. A. You can be 90% confident that the population mean record high temperature is outside the bounds of the 90% confidence interval, and 95% confident for the 95% interval. B. You can be certain that the population mean record high temperature is either between the lower bounds of the 90% and 95% confidence intervals or the upper bounds of the 90% and 95% confidence intervals. O C. You can be 90% confident that the population mean record high temperature is between the bounds of the 90% confidence interval, and 95% confident for the 95% interval. O D. You can be certain that the mean record high temperature was within the 90% confidence interval for approximately 69 of the 77 days, and was within the 95% confidence interval for approximately 73 of the 77 days.
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