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 Defective Satisfactory 106 124 2 121 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. 1. Test Stat: 2. Critical Value: 3. Conclusion: At 5% level of significance a. there is no sufficient evidence that the shift when the tire was poduced is related to its condition b. the shift when the tire was produced is related to its condition

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Author:Amos Gilat
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Answer the following problem about hypothesis testing with up to four decimal places.

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
Defective
Satisfactory
106
124
2
121
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.
1.
Test Stat:
2.
Critical Value:
3. Conclusion: At 5% level of significance
a. there is no sufficient evidence that the shift when the tire was poduced is
related to its condition
b. the shift when the tire was produced is related to its condition
Transcribed Image Text: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 Defective Satisfactory 106 124 2 121 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. 1. Test Stat: 2. Critical Value: 3. Conclusion: At 5% level of significance a. there is no sufficient evidence that the shift when the tire was poduced is related to its condition b. the shift when the tire was produced is related to its condition
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