Question

The Associate Dean for Library Services at the college wants to estimate the mean number of times students use the library during a semester. A sample study of 35 students showed a mean of 11 times with a standard deviation of 3 times.

A. What is the population mean, using a 95 percent confidence interval?

B.Illustrate whether or not the finite population correction factor be used to determine the 95% confidence interval for the mean number of times students visit the library during a semester if the sample is 35 and there are only 500 students on campus:

C.If the finite population correction factor should be used, develop the 95% confidence interval below

D. What can be concluded from the results?

Answer #1

A:

B:

Since

So it is necessary to apply the finite population correction factor.

C:

Here finite population correction factor is

The standard error will be

The required confidence interval is

D:

Confidence interval become narrower with fpc.

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