14. The Swanson Electronics Co., manufacturer of resistors, screens potential qu

Question

14. The Swanson Electronics Co., manufacturer of resistors, screens potential quality control inspectors before they are hired. Swanson has developed the following pre-employment test. Each potential employee is presented with the same set of 1000 resistors of which 500 are defective The results for two applicants are as follows: 1) of the 500 good resisters, applicant #1 labeled 100 as defective, of the 500 bad resistors, applicant #1 labeled 200 as defective, 2) of the 500 good resisters. applicant #2 labeled 50 as defective, of the 500 bad resistors, applicant #2 labeled 300 as defective. (10 points) a) Treat picking a defective resistor as defective as a hit. Fill in the following table b) Given that Swanson places a very large emphasis on quality control (i.e. they don't wish to sell a defective product at any cost), which applicant would better fulfill their goal? Why? c) Given that Dorben wishes to hire the most efficient inspector (i.e. most correct) which applicant would they hire? Applicant #1 Said Good Defective Totals TrueResult Totals Applicant True Result Totals Good Defective #2 Said Good Defective Totals Good Defective Applicant #1 Applicant #2 Hit Rate False Alarm Rate Miss Rate Correct Reiection Rate Z values d'

Explanation / Answer

A.

B

So Miss rate should be least.

So Applicant 2 is better as miss rate is lower and hence does not allow defective to be sold.

C.

Most correct means (Gs, Gt) + (Ds, Dt)/ total = Z value is maximum

As we see Applicant 2 has it better at 0.75, he should be selected.

Applicant 1 Good Def Total Applicant 2 Good Def Total good 400 300 700 good 450 200 650 Def 100 200 300 Def 50 300 350 Totals 500 500 Totals 500 500

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