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

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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