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...


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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.<br>From a random sample of 79 dates, the mean record high daily temperature in a certain city has a mean of 85.03°F. Assume the population standard deviation is 13.95°F.<br>The 90% confidence interval is<br>(Round to two decimal places as needed.)<br>The 95% confidence interval is ( ).<br>(Round to two decimal places as needed.)<br>Which interval is wider? Choose the correct answer below.<br>The 95% confidence interval<br>The 90% confidence interval<br>Interpret the results.<br>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.<br>B. You can be certain that the mean record high temperature was within the 90% confidence interval for approximately 71 of the 79 days, and was within the 95% confidence interval for approximately 75 of the 79 days.<br>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.<br>D. 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.<br>

Extracted 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 79 dates, the mean record high daily temperature in a certain city has a mean of 85.03°F. Assume the population standard deviation is 13.95°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. 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 between the bounds of the 90% confidence interval, and 95% confident for the 95% interval. B. You can be certain that the mean record high temperature was within the 90% confidence interval for approximately 71 of the 79 days, and was within the 95% confidence interval for approximately 75 of the 79 days. 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 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.
Jun 07, 2022
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