The operations manager of a company that manufactures tires wants to determine whether there are any differences in the quality of workmanship among the three daily shifts. She randomly selects 496 tires and carefully inspects them. Each tire is either classified as perfect, satisfactory, or defective, and the shift that produced it is also recorded. The two categorical variables of interest are the shift when a tire was produced and the condition of the tire produced. The data are presented in the table below: Condition Shift Perfect Satisfactory Defective 1 124 106 2 67 85 4 3 19 84 5 Is the shift when the tire was produced related to its condition? Test at 5% level of significance. Give the test stat, critical value and conclusion.

Q: y 35 1 N 34

A:

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