Department of Mechanical Engineering Following table summarizes a consistency st

Question

Department of Mechanical Engineering Following table summarizes a consistency study of Jim and Tom in gaging 75 parts, three times each with an attribute gage Tom Nonconforming (0) Conforming (1) Total Nonconforming (0) oo 45 Agreed on Disagreement nonconforming(o) Jim Conforming (1) 110 201 Disagreement Agreed on conforming (1) 160 225 Total 65 Estimate for parts "a" to "f" and calculate for for part "g" a) probability that Tom will find a part nonconforming b) probability that Ton will ind a part nonconforming c) expected number of the parts found by both Jim and Tom d) probability of observed agreement e) probability of expected agreement f) kappa value of agreement g) Comment on the quality of agreement sans ?sted of 20 measurements of eight parts with a

Explanation / Answer

a) Probability that Tom will find a non-conforming part

= nB0/n = 65/225 = 0.289

b) Probability that Jim will find a non-conforming part

= njim0/n = 70/225 = 0.311

c) Expected parts found by Tom

=(No. of non-conforming parts found) x Probability( Tom found a non-conforming part) + ( No. Of conforming parts found) x Probability( Tom found a conforming part)

= 65x0.289+160x(1-0.289) = 132.55

Expected parts found by Jim (same like above)

= 70x0.311+155x(1-0.311) = 128.55

d) Probability of observed agreement

= (45+135)/225 = 0.8

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