Posted by **Lindy** on Friday, May 2, 2008 at 12:43pm.

The head librarian claims that books have been checked out an average of seven times in the last year.

You suspect she has exaggerated the checkout rate and that the mean number of checkouts per book per year is, in fact, less than seven.

Using the computerized card catalog, you randomly select one book and find that it has been checked out four times in the last year. Assume that the standard deviation of the number of checkouts per book per year is approximately 0.90.

If the mean number of checkouts per book per year is seven, as the librarian claims, would you consider a value of 4 checkouts per year to be an outlier?

Is the x value of interest more than 3 standard deviations below the mean or is it 3 st deviations above the mean?

Or is the x-value not an outlier?

- Statistics -
**PsyDAG**, Friday, May 2, 2008 at 2:27pm
First of all, what criterion are you using to identify an outlier?

If it is Z = ±3, then this book would be an outlier. For outliers, it is a two-tailed test, you are interested in extremely deviant scores both above and below the mean.

I hope this helps. Thanks for asking.

- Statistics -
**Lindy**, Friday, May 2, 2008 at 9:52pm
Thanks. Would that mean the initial claim was too high?

- Statistics -
**PsyDAG**, Saturday, May 3, 2008 at 12:58pm
Among the thousands of books that are checked out, the one outlier would have a minimal effect, if at all. This is inadequate evidence to respond to the librarian's sstatistic.

To test the The Ho that μ = 7 against the alternative hypothesis that μ < 7, a larger sample is needed to compare the sample mean to the librarian's estimate.

I hope this helps a little more. Thanks for asking.

- Statistics -
**Lindy**, Friday, May 2, 2008 at 9:59pm
*librarians intial claim

## Answer this Question

## Related Questions

- algebra ll - The number of books checked out from the library varies directly ...
- direct an inverse variation - The number of books checked out from the library ...
- direct an inverse variation - The number of books checked out from the library ...
- Math - Amanda checked out 7 fiction books from the library. She also checked out...
- operating system - The proprietor serves an average of 800 students a day, with ...
- Statistics - An automobile in surer has found that repair claims have a mean of...
- statistics - The time (sec) that it takes a librarian to locate an entry in a ...
- Statistics - The coding department of a large physician clinic is interested in ...
- math - Many grocery stores have installed self checkout systems. Below is the ...
- Statistics - Dear Sue, I need your help concerning the below questions. Thank ...

More Related Questions