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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 36 gas grills has a mean price of $643.10. Assume the population standard deviation is $56.40.

The 90% confidence interval is (___, ___). (Answers can be rounded to 1 decimal place)

The 95% confidence interval is (___, ___). (Answers can be rounded to 1 decimal place)

Which interval is wider? Choose the correct answer below.
The 90% confidence interval The 95% confidence interval