Math

StatisticsQ&A LibraryYou 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 59 dates, the mean record high daily temperature in a certain city has a mean of 86.32degrees°F. Assume the population standard deviation is 14.97degrees°F. The 90% confidence interval is (). (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. A) The 90% confidence interval B) The 95% confidence interval Interpret the results. A. 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. 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. C. 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. D. You can be certain that the mean record high temperature was within the 90% confidence interval for approximately 53 of the 59 days, and was within the 95% confidence interval for approximately 56 of the 59 days.Start your trial now! First week only $4.99!*arrow_forward*

Question

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
A.
B.
C.
D.

59

dates, the mean record high daily temperature in a certain city has a mean of
86.32degrees°F.

Assume the population standard deviation is
14.97degrees°F.

The 90% confidence interval is

().

(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.

A) The 90% confidence interval

B) The 95% confidence interval

Interpret the results.

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.

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.

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.

You can be certain that the mean record high temperature was within the 90% confidence interval for approximately

53

of the
59

days, and was within the 95% confidence interval for approximately
56

of the
59

days.Tagged in

Math

Statistics

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