A manufacturing company produces part A732 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 A732 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.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? A)Reject H₀ if χ² .10257 B)Reject H₀ if χ² 9.3484 C)Reject H₀ if χ² 5.99147 D)Reject H₀ if χ² 7.37776 E)Reject H₀ if χ² 7.81473

Question

A manufacturing company produces part A732 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 A732 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.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? A)Reject H₀ if χ² > .10257 B)Reject H₀ if χ² > 9.3484 C)Reject H₀ if χ² > 5.99147 D)Reject H₀ if χ² > 7.37776 E)Reject H₀ if χ² > 7.81473

Quizplus · Accepted Answer

Since we are testing for independence among three processes, we will use a chi-square goodness of fit test. The null hypothesis is that the quality of units produced is the same for all three processes. The alternative hypothesis is that the quality of units produced is different for at least one process. We will use a significance level of .05, which corresponds to a chi-square critical value with (3-1) * (2) = 4 degrees of freedom. Using a chi-square calculator, we find the critical value to be 5.99147. Therefore, we will reject the null hypothesis if our calculated chi-square test statistic is greater than 5.99147.

A Manufacturing Company Produces Part A732 for the Aerospace Industry