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 test satisfied. Assume that the null hypothesis is $\mathrm { H } _ { 0 } : \mu _ { 1 } = \mu _ { 2 }$ . Use the Mann-Whitney test to carry out the required hypothesis test.
-A researcher was interested in comparing the heights of women in two different countries. Independent simple random samples of 9 women from country A and 9 women from country B yielded the following heights (in inches). $$\begin{array} { r | r } \text { Country A } & \text { Country B } \\ \hline 64.1 & 65.3 \\ 66.4 & 60.2 \\ 61.7 & 61.7 \\ 62.0 & 65.8 \\ 67.3 & 61.0 \\ 64.9 & 64.6 \\ 64.7 & 60.0 \\ 68.0 & 65.4 \\ 63.6 & 59.0 \end{array}$$ At the 2.5% significance level, do the data provide sufficient evidence to conclude that women in country A are, on average, taller than women in country B?

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