The recruitment director for a large engineering firm categorizes universities based on their rankings by U. S. News as most desirable, desirable, adequate, or undesirable for purposes of hiring the engineering graduates from the universities. The director reviews the performance records of 156 engineers employed by the firm for 1€“ 2 years. The following table cross- classifies the annual performance ratings of the engineers with the universities from which they earned their BS degrees.

a. What is the population of interest represented by the data in the above table?
b. Can the director conclude that there is a relationship between the university type and the performance rating of the employee?
c. Are the conditions for applying your test in part (b) satisfied?

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Performance Rating of Employee University Type Outtanding Average Poor Most desirable Desirable Adequate Undesirable 21 20 26 36 13 10