Preliminary Data Analyses Indicate That You Can Reasonably Consider the Assumptions

question 48

Essay

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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Definitions:

Stepwise Regression

A method of regression analysis in which the choice of predictive variables is carried out by an automatic procedure, often involving the selection of variables based on statistical criteria.

Independent Variables

Variables in statistical models that are manipulated or categorized to observe their effect on dependent variables.

Quantitative Predictor Variables

Variables that can be quantified and measured and are used to predict outcomes in statistical analyses.

Indicator Variables

Variables used in statistical models that take the value of 1 if a certain condition is met and 0 otherwise, often used to represent categorical data.