A manufacturing company produces part 2205 for the aerospace industry. This part

Question

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. What is the rejection point condition? Calculate the expected number of defective units produced by Process 1. Calculate the expected number of conforming units produced by Process 2.

Explanation / Answer

Calculate the expected number of defective units produced by Process 1.

The Process 1 had 29 defective units in 240 items

expected number = 29 / 240 * 2205 = 266.4375

Calculate the expected number of conforming units produced by Process 2.

Process 2 produced 12 defective units in 180 items

expected number = (1 - 12/180) * 2205 = 2058

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