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

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 73 dates, the mean record high daily temperature in a certain city has a mean of 86.92F. Assume the population standard deviation is 15.09F. 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 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. C. You can be 90% confident that the mean record high temperature was within 90% confident interval for approximately 66 of the 73 days, and was within the 95% confidence interval for approximately 69 of the 73 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

Step by Step Solution

There are 3 Steps involved in it

1 Expert Approved Answer
Step: 1 Unlock blur-text-image
Question Has Been Solved by an Expert!

Get step-by-step solutions from verified subject matter experts

Step: 2 Unlock
Step: 3 Unlock

Students Have Also Explored These Related Mathematics Questions!