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A manufacturing company produces part QV2Y for the aerospace industry. This Part

ID: 3228795 • Letter: A

Question

A manufacturing company produces part QV2Y 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 QV2Y is the same for all three processes. The production supervisor obtained the following data: 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,

Chi-Square Contingency Table Test for Independence.

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 the results summarized in the Megastat/Excel output provided in the table above, 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.) do not reject H01 and conclude that the quality of the product does not significantly differ among the three processes.

D.) reject H0 and conclude that the quality of the product is independent of the manufacturing process used.

Col 1 Col2 Col 3 Total 29 12 9 50 Row observed 13.16 50.00 21.05 Expected 15.79 0.91 3.00 Row 2 observed 141 211 168 520 136.84 520.00 164.21 Expected 218.95 0.13 0.29 0.50 0.09 Total Observed 240 180 150 570 150.00 570.00 180.00 Expected 240.00 3.29 1.00 1.44 5.73 5.73 chi-square p-value 0571

Explanation / Answer

Here,

p - value > 0.05 so we do not reject Ho and conclude that the quality of the product does not significantly differ among the three processes.

Option C is correct.

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