Question

# The Associate Dean for Library Services at the college wants to estimate the mean number of...

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?

#### Homework Answers

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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