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

question 20

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.
-A teacher uses two different CAI programs to remediate students. Independent simple random samples of 11 students from program I and 14 students from program II are selected. Results for each group on a standardized test are listed in the table below. At the 0.05 level of significance, do the data provide sufficient evidence to conclude that the mean score for students going through program I differs from the mean score for students going through program II? $$\begin{array} { r | r } \text { Program I } & \text { Program II } \\ \hline 60756163 & 66896877 \\ 86696470 & 84808187 \\ 728259 & 78739193 \\ & 9495 \end{array}$$

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Definitions:

Maladaptive

Describes behaviors or traits that are counterproductive to an individual's ability to cope with or adapt to the demands and challenges of life.

Major Depressive Disorder

An issue related to mental wellness, showcased by a consistent sense of desolation or uninterest in activities, severely undermining daily life quality.

Develop The Disorder

The process by which an individual begins to exhibit symptoms or behaviors that meet the criteria for a specific psychological disorder.

Chronic Pain

Persistent pain that lasts for weeks, months, or even years, significantly affecting a person's quality of life.