Preliminary Data Analyses Indicate That You Can Reasonably Consider the Assumptions

question 1

Essay

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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Definitions:

Coincidence of Wants

A situation in a barter economy where two parties each hold an item the other wants, facilitating a direct trade without the need for a medium of exchange.

Barter Economy

An economic system where goods and services are exchanged directly for other goods and services without using money as an intermediate.

Medium of Exchange

An instrument used to facilitate the sale, purchase, or trade of goods between parties, for example, money or digital currency.

Planned Economy

An economic system in which the government or a central authority makes all decisions regarding the production and distribution of goods and services.