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?

---

Definitions:

Develop

To grow, evolve, or expand in capabilities, skills, or ideas through a process of education, practice, or effort.

Preventive Strategies

Approaches designed to stop problems or issues from occurring, aiming to limit or eliminate negative outcomes through proactive measures.

Problem Solving

Problem solving is the process of identifying issues, analyzing possible solutions, and implementing strategies to overcome challenges.

Active Involvement

Participation or engagement in activities or causes with significant interest and commitment, often to effect change.