Preliminary Data Analyses Indicate That You Can Reasonably Consider the Assumptions

question 66

Essay

Preliminary data analyses indicate that you can reasonably consider the assumptions for using the Mann-Whitney testsatisfied. Assume that the null hypothesis is $H _ { 0 } : \mu _ { 1 } = \mu _ { 2 }$ . Use the Mann-Whitney test to carry out the requiredhypothesis test.
-A researcher was interested in comparing the GPAs of students at two different colleges. Independent simple random samples of 8 students from college A and 9 students from college B yielded the following GPAs. $\begin{array} { r | r } \text { College A College B } \\ \hline 2.8 & 3.6 \\ 3.2 & 3.9 \\ 3.7 & 3.3 \\ 2.5 & 4.0 \\ 2.6 & 3.8 \\ 3.0 & 2.9 \\ 4.0 & 3.6 \\ 2.7 & 4.0 \\ & 3.5 \end{array}$
At the 10% significance level, do the data provide sufficient evidence to conclude that the mean GPA of students at college A differs from the mean GPA of students at college B?

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Definitions:

Mesopotamia

An ancient region in the Eastern Mediterranean known as the "Cradle of Civilization," where the world's first cities, writing systems, and complex societies emerged, located in present-day Iraq and parts of Iran, Syria, and Turkey.

Chronological Order

The arrangement of events in the sequence of their occurrence in time.

Geographical Areas

Defined regions or spaces on the Earth's surface, whether natural or human-made, varying in size and defined by geographic boundaries.

Mutation

The chance alteration of genetic material that produces new variation.