Preliminary Data Analyses Indicate That You Can Reasonably Consider the Assumptions

Preliminary data analyses indicate that you can reasonably consider the assumptions for using the Mann-Whitney testsatisfied. Assume that the null hypothesis is $\mathrm { H } _ { 0 } : \mu _ { 1 } = \mu _ { 2 }$ . Use the Mann-Whitney test to carry out the requiredhypothesis test.
-A researcher was interested in investigating how much people read in their spare time and, in particular, whether people who own a personal computer read less in their spare time than those who do not own a computer. She selected independent simple random samples of 7 computer owners and 9 noncomputer owners, and she asked each person how many hours he or she had spent reading non-work-related books during the previous week. The results are as follows. $$\begin{array} { r | r } \text { Computer Owners } & \text { Noncomputer Owners } \\ \hline 1.7 & 1.8 \\ 0 & 6.6 \\ 2.6 & 0.3 \\ 0.9 & 0 \\ 6.2 & 0.2 \\ 0 & 2.3 \\ 0.5 & 8.8 \\ & 2.2 \\ & 1.4 \end{array}$$ At the 2.5% significance level, do the data provide sufficient evidence to conclude that the mean weekly reading time for computer owners is lower than the mean weekly reading time for noncomputer owners?

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