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 41 business days, the mean closing price of a certain stock was $107.27. Assume the population standard deviation is $10.74. The 90% confidence interval is ). (Round to two decimal places as needed.)