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In: Statistics and Probability

For a random sample of 12 business graduates from a technical college, the starting salaries accepted...

For a random sample of 12 business graduates from a technical college, the starting salaries accepted for employment on graduation (in thousands of dollars) were the following:
26.2   29.3   31.3   28.7   27.4   25.1   26.0   27.2   27.5   29.8
32.6   34.6
For an independent random sample of 10 graduates from a state university, the corresponding figures were as follows:
   25.3   28.2   29.2   27.1   26.8   26.5   30.7   31.3   26.3   24.9
Analyze the data using the Mann-Whitney test, and comment on the results.

To get you started, assume that the null hypothesis is that the median starting salaries are the same for both types of schools.
Specify the following:
     the H0 and H1,
   the sum of ranks for the technical college (R1),
   the values for n1, n2, U, μ_U, σ_U^2,

the z-score, the p-value, whether you reject or fail to reject H0, and what is your conclusion?

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