4. (20 points) The National Center for Education Statistics surveys college libr

Question

4. (20 points) The National Center for Education Statistics surveys college libraries to obtain information on the number of volumes they hold. Independent random samples of public and private colleges yielded the following data on the number of volumes held, in thousands Public 15 Private 27 24 67 |113 |139 1500 16613 41 79 265 411 516 603 Perform a nonparametric test at the 5% significance level to determine if the median number of volumes held by public colleges is less than that of private colleges. Give the hypotheses, test statistic, critical value, and conclusion.

Explanation / Answer

Mann-Whitney Test and CI: public, private

         N Median
public   7    79.0
private 6   126.0

Point estimate for 1 - 2 is -47.5
96.2 Percent CI for 1 - 2 is (-459.1,298.0)
W = 44.0
Test of 1 = 2 vs 1 < 2 is significant at 0.2602

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