Please solve the hypothesis testing problems (#1, and 2) using Minitab as the tool. For each problem, (1) specify the business and statistical hypotheses, (2) specify what the Type I and Type II errors are in this business context, and, the implications of making those errors, (3) include the results from Minitab, (4) draw appropriate conclusions to your statistical hypotheses based on the results, and, finally, (5) present the business conclusions in a short non-statistical summary.

1. After receiving your bachelor's degree in personnel management, you were hired by a small but expanding life insurance company. Your first assignment is to develop a more efficient technique for the preliminary screening of applicants for sales positions. Since the firm employs only college graduates, you decide to work with information focusing on their performance during college.

A random sample of 25 from the firm's current sales force is selected and the following information is obtained:

Last year's performance evaluation score

College grade point average (GPA)

Percent of total college expenses earned by the individual

Number of social organizations the individual belonged to

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