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MCQs: Chi-square Test

Please select the correct answer and show briefly how you arrived at your solution:

9. A manufacturing company produces part 2205 for the aerospace industry. This particular part can be manufactured using 3 different production processes. The management wants to know if the quality of the units of part 2205 is the same for all three processes. The production supervisor obtained the following data: The Process 1 had 29 defective units in 240 items; Process 2 produced 12 defective units in 180 items and Process 3 manufactured 9 defective units in 150 items. At a significance level of .05, the management wants to perform a hypothesis test to determine whether the quality of items produced appears to be independent of the production process used. Calculate the expected number of conforming (non-defective) units produced by Process 3.

A. 219
B. 137
C. 141
D. 164
E. 168

10. A manufacturing company produces part 2205 for the aerospace industry. This particular part can be manufactured using 3 different production processes. The management wants to know if the quality of the units of part 2205 is the same for all three processes. The production supervisor obtained the following data: The Process 1 had 29 defective units in 240 items; Process 2 produced 12 defective units in 180 items and Process 3 manufactured 9 defective units in 150 items.
At a significance level of .05, the management wants to perform a hypothesis test to determine if the quality of the items produced appears to be independent of the production process used. Based on Chi-square test, we:

A. Reject H0 and conclude that the quality of the product is not the same for all processes
B. Reject H0 and conclude that the quality of the product is dependent on the manufacturing process
C. Failed to reject H0 and conclude that the quality of the product does not significantly differ among the three processes
D. Failed to reject H0 and conclude that the quality of the product is not the same for all processes
E. Reject H0 and conclude that the quality of the product is independent of the manufacturing process used.

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The solution provides answers to multiple choice questions on chi-square test. Short explanation of the answer is also included.

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