In Exercise 35, would it be unusual for the population mean to be over $1500? Explain.

Exercise 35

From a random sample of 48 business days from May 9, 2016, through May 7, 2021, U.S. gold prices had a mean of \($1404.09\). Assume the population standard deviation is $232.09.

you are given the sample mean and the population standard deviation. Use this information to construct 90% and 95% confidence intervals for the population mean. Interpret the results and compare the widths of the confidence intervals.