P-Value of Quality Inspectors Test

Test of product quality using human inspectors can lead to
serious inspection error problems. To evaluate the performance of inspectors in
a new company, a quality manager had a sample of 12 novice inspectors evaluate
200 finished products. The same 200 items were evaluated by 12 experienced
inspectors. The quality of each item -whether defective or nondefective, was
known to the manager. The next table lists the number of inspection errors
(classifying a defective item as nondefective or vice versa) made by each
inspector. A SAS printout comparing the two types of inspectors is shown in
here.

1Novice Inspectors

1 30

1 35

1 26

1 40

1 36

1 20

1 45

1 31

1 33

1 29

1 21

1 48

2Experienced Inspectors

2 31

2 15

2 25

2 19

2 28

2 17

2 19

2 18

2 24

2 10

2 20

2 21

a. Prior to conducting this experiment, the manager believed
the variance in inspection errors was lower for experienced inspectors then the
novice inspectors. Do the sample data support her belief? Test using alpha=.05

b. what is the appropriate p-value of the test you conducted
in part a?

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