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## A random sample of fifty-four 200-meter swims has a mean time of 3.227 minutes

A random sample of fifty-four 200-meter swims has a mean time of 3.227 minutes. The population standard deviation is 0.060 minutes. A 95% confidence interval for the population mean time is (___,__).

Construct a 95% confidence interval for the population mean time using a population standard deviation of 0.03 minutes. Which confidence interval is wider? Explain.

The 95% confidence interval is (___,__). (Round to three decimal places as needed.)

Which confidence interval is wider? Explain. Choose the correct answer below.

A. The sigma = 0.060 confidence interval is wider because of the increased variability within the sample.

B. The sigma = 0.03 confidence interval is wider because of the decreased variability within the sample.

C. The two intervals are the same size because the confidence interval is based on the level of confidence and sample size.