Question

A random sample of fifty dash two ​200-meter swims has a mean time of 3.64 minutes and the population standard deviation is 0.06 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 population mean time is not between the endpoints of the given confidence interval.

B. With 90​% ​confidence, it can be said that the population mean time is between the endpoints of the given confidence interval.

C. With 90​% ​confidence, it can be said that the sample mean time is between the endpoints of the given confidence interval

Answer 1

Hello

Sample Mean =

Population S.D. =

Sample Size, n = 52

Significance Level =

The critical Value =

Now, 90% confidence interval is given by:

Hence, you required confidence interval is (3.63, 3.65)[Rounded to two decimal places]

Interpretations:

THE CORRECT OPTION IS B

With 90% confidence interval, it can be said that the population mean is between the endpoints of the given confidence interval.

I hope this solves your doubt.

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