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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. Which interval is wider? If convenient, use technology to construct the confidence intervals.A random sample of 40 gas grills has a mean price of $633.90.. Assume the population standard deviation is $57.30.The 90% confidence interval is left parenthesis nothing comma nothing right parenthesis .(,).(Round to one decimal place as needed.)The 95% confidence interval is left parenthesis nothing comma nothing right parenthesis .(,).(Round to one decimal place as needed.)