A random sample of fifty-one 200 meter swims has a mean time of 3.31 minutes and

Question

A random sample of fifty-one 200 meter swims has a mean time of 3.31 minutes and the population standard deviation is 0.07 minutes. Construct a 95% of interval for the population mean time. Interpret the results. The 95% confidence interval is (Round to two decimal places as needed.) Interpret the results. Choose the correct answer below A. With 95% confidence, it can be said that the population mean time is between the endpoints of the given confidence interval. B. With 95% confidence, it can be said that the sample mean time is between the endpoints of the given confidence interval. C. With 95% confidence, if can be said that the population mean time is not between the endpoints of the given confidence interval.

Explanation / Answer

Z value at 95% Interval is 1.960

So 95% Interval is

(3.31 -1.960*(0.07/Sqrt(51)), 3.31 +1.960*(0.07/Sqrt(51)))

(3.29, 3.33)

So , Interval is (3.29, 3.33)

b) Option A is correct, because confidence interval helps us to estimate the population mean between this interval

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