October 29, 2023 at 6:37 PM 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 80 dates, the mean record high daily temperature in a certain city has a mean of 82.34 degrees °F. Assume the population standard deviation is 14.75 degrees F. Question content area bottom Part 1 The 90% confidence interval is (enter your response here). (Round to two decimal places as needed.) Part 2 The 95% confidence interval is (enter your response here). (Round to two decimal places as needed.) Part 3 Which interval is wider? Choose the correct answer below. The 90% confidence interval The 95% confidence interval Part 4 Interpret the results. A. 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. B. 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. C. You can be certain that the mean record high temperature was within the 90% confidence interval for approximately 72 of the 80 days, and was within the 95% confidence interval for approximately 76 of the 80 days. D. 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.

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October 29, 2023 at 6:37 PM
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.
Question content area bottom
Part 1
The 90% confidence interval is (enter your response here).
V
From a random sample of 80 dates, the mean record high daily temperature in a certain city has a mean of 82.34 degrees °F. Assume the population
standard deviation is 14.75 degrees F.
(Round to two decimal places as needed.)
Part 2
The 95% confidence interval is (enter your response here).
(Round to two decimal places as needed.)
Part 3
Q Search
Which interval is wider? Choose the correct answer below.
The 90% confidence interval
The 95% confidence interval
Part 4
Interpret the results.
A.
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.
B.
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.
C.
You can be certain that the mean record high temperature was within the 90% confidence interval for approximately 72 of the 80 days, and was within the
95% confidence interval for approximately 76 of the 80 days.
D.
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.
Transcribed Image Text:al... ! October 29, 2023 at 6:37 PM 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. Question content area bottom Part 1 The 90% confidence interval is (enter your response here). V From a random sample of 80 dates, the mean record high daily temperature in a certain city has a mean of 82.34 degrees °F. Assume the population standard deviation is 14.75 degrees F. (Round to two decimal places as needed.) Part 2 The 95% confidence interval is (enter your response here). (Round to two decimal places as needed.) Part 3 Q Search Which interval is wider? Choose the correct answer below. The 90% confidence interval The 95% confidence interval Part 4 Interpret the results. A. 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. B. 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. C. You can be certain that the mean record high temperature was within the 90% confidence interval for approximately 72 of the 80 days, and was within the 95% confidence interval for approximately 76 of the 80 days. D. 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.
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