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 42

42 gas grills has a mean price of ​$625.10

625.10. Assume the population standard deviation is ​$56.60

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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