Capture 2

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 83.14°F. Assume the population standard deviation is 15.26°F. The 95% confidence interval is ( 79.18 , 87.10 ). (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. ¥ /.. 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 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. 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.