A random sample of forty-eight 200-meter swims has a mean time of 3.96 minutes a

Question

A random sample of forty-eight 200-meter swims has a mean time of 3.96 minutes and the population standard deviation is 0.09 minutes. Construct a 90% confidence interval for the population mean time. Interpret the results. The 90% confidence interval is (Round to two decimal places as needed.) Interpret the results. Choose the correct answer below. A. With 90% confidence, it can be said that the sample mean time is between the endpoints of the given confidence interval. B. With 90% confidence, it can be said that the population mean time is not between the endpoints of the given confidence interval. C. With 90% confidence, it can be said that the population mean time is between the endpoints of the given confidence interval.

Explanation / Answer

n = 48 , mean = 3.96 , s = 0.09

At 90% confidence interval z value is = 1.645

CI = mean + /- z * SE

= 3.96 + / - 1.645 * ( 0.09/ sqrt(48))

= (3.94 , 3.98)

Answer is option c)

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