Perform the Required Hypothesis Test by Using a Mann-Whitney Test

question 39

Essay

Perform the required hypothesis test by using a Mann-Whitney test. Use a normal approximation for M. Find the meanand standard deviation of M, the value of M and of the test statistic, the critical value(s), and state your conclusion.
-Test whether the mean grade for students from college A differs from the mean grade for students from College B. Independent simple random samples of 11 students from College A and 11 students from College B are selected. Grades of the students are shown in the table. Use a 0.05 level of significance. $$\begin{array} { l l l l l l l l l l l l } \text { College A } & 3.2 & 4.0 & 2.4 & 2.6 & 2.0 & 1.8 & 1.3 & 0.0 & 0.5 & 1.4 & 2.9 \\ \hline \text { College B } & 2.4 & 1.9 & 0.3 & 0.8 & 2.8 & 3.0 & 3.1 & 3.1 & 3.1 & 3.5 & 3.5 \end{array}$$

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Definitions:

Personal Risk

The exposure of an individual to potential harm or loss in personal or professional contexts.

Walking the Talk

This denotes the act of backing up words with action, ensuring that one’s behaviors consistently match their spoken commitments.

Consistency

The quality of always behaving or performing in a similar way, ensuring reliability and accuracy.

Vision in Leadership

The ability of organizational leaders to foresee the future state of their organization and to formulate a clear strategy to guide its direction and growth.