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 mear Interpret the results and compare the widths of the confidence intervals. From a random sample of 57 dates, the mean record high daily temperature in a certain city has a mean of 82.54°F. Assume the population standard deviation is 15.09°F. The 90% confidence interval is ( I D. (Round to two decimal places as needed.) The 95% confidence interval is ( I ). (Round to two decimal places as needed.) Which interval is wider? Choose the correct answer below. O The 90% confidence interval The 95% confidence interval Interpret the results. O 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. O B. 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. O C. 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. D. You can be certain that the mean record high temperature was within the 90% confidence interval for approximately 51 of the 57 days, and was within the 95% confidence interval for approximately 54 of the 57 days.

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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.
From a random sample of 57 dates, the mean record high daily temperature in a certain city has a mean of 82.54°F. Assume the population standard deviation is
15.09°F.
The 90% confidence interval is
(Round to two decimal places as needed.)
The 95% confidence interval is I b.
(Round to two decimal places as needed.)
Which interval is wider? Choose the correct answer below.
The 90% confidence interval
The 95% confidence interval
Interpret the results.
O 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.
O B. 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.
O C. 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.
D. You can be certain that the mean record high temperature was within the 90% confidence interval for approximately 51 of the 57 days, and was within the
95% confidence interval for approximately 54 of the 57 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 57 dates, the mean record high daily temperature in a certain city has a mean of 82.54°F. Assume the population standard deviation is 15.09°F. The 90% confidence interval is (Round to two decimal places as needed.) The 95% confidence interval is I b. (Round to two decimal places as needed.) Which interval is wider? Choose the correct answer below. The 90% confidence interval The 95% confidence interval Interpret the results. O 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. O B. 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. O C. 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. D. You can be certain that the mean record high temperature was within the 90% confidence interval for approximately 51 of the 57 days, and was within the 95% confidence interval for approximately 54 of the 57 days.
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