R 10 40 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 University Type Most desirable Desirable Adequate Undesirable Performance Rating of Employee Outstanding 21 4 13 10 Average 20 26 7 7 Poor 4 36 2 6 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