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You are given the sample mean and the population standard deviation. Use this information to construct...

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 43 gas grills has a mean price of ​$626.50.

Assume the population standard deviation is ​$58.70. The​ 90% confidence interval is ​( , ). ​(Round to one decimal place as​ needed.)

The​ 95% confidence interval is ​( , ​). ​(Round to one decimal place as​ needed.)

Which interval is​ wider? Choose the correct answer below.

The​ 95% confidence interval

The​ 90% confidence interval

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