A random sample of fixity-six 200-meter swims has a mean time of 3.07 minutes an

Question

A random sample of fixity-six 200-meter swims has a mean time of 3.07 minutes and the population standard deviation is 009 minutes Construct a 95% confidence interval for the population mean time Inepter 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 sample meantime is between the endpoints of the given confidence interval B. With 9% confidence, it can be said that the population mean time is between the endpoints of the given confidence interval C. With 95% confidence, it can be said that the population mean time is not between the endpoints of the given confidence interval.

Explanation / Answer

The statistical software output for 95% confidence interval is:

One sample Z confidence interval:
: Mean of population
Standard deviation = 0.09

95% confidence interval results:

Hence,

95% confidence interval will be:

(3.05, 3.09)

Option B is correct.

Mean n Sample Mean Std. Err. L. Limit U. Limit 56 3.07 0.012026756 3.046428 3.093572

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