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

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. At a significance level of 05, we performed a chi-square test of independence to determine if the quality of the items produced appears to be independent of the production process. What are the degrees of freedom for the chi-square statistic? 2 50 3 570 520

Explanation / Answer

Let's make table from the above information.

Formula of degrees of freedom for chi square independent test is

(number of rows - 1) * ( number of columns - 1) = (2 - 1) * ( 3 - 1 ) = 1 * 2 = 2

So the degreesof freedom for chi-square statistics is 2.

process 1 process 2 process 3 Defectives 29 12 9 nondefectives 211 168 141

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