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Question (9) The manager of an assembly process wants to determine whether or not the number...

Question (9)

The manager of an assembly process wants to determine whether or not the number of defective articles manufactured depends on the day of the week the articles are produced. She collected the following information. Is there sufficient evidence to reject the hypothesis that the number of defective articles is independent of the day of the week on which they are produced? Use α = 0.05.

Day of Week M Tu W Th F
Nondefective 85 87 93 86 91
Defective 8 7 6 5 5

(a) Find the test statistic. (Give your answer correct to two decimal places.)


(ii) Find the p-value. (Give your answer bounds exactly.)
< p <  

(b) State the appropriate conclusion.

Reject the null hypothesis, there is significant evidence that the number of defective articles is not independent to day of the week.

Fail to reject the null hypothesis, there is not significant evidence that the number of defective articles is not independent to day of the week.    

Reject the null hypothesis, there is not significant evidence that the number of defective articles is not independent to day of the week.

Fail to reject the null hypothesis, there is significant evidence that the number of defective articles is not independent to day of the week.

math   Statistics-And-Probability   
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Answer #1

Excel add-in (Mega Stat) procedure: Step 1: In EXCEL, Select Add-Ins > Mega Stat > Chi-square/Crosstab > Contingency Table. Step 2: In Input range, select the cell range Al:F3 Step 3: In Output Options, select chi-square. Step 4: Click OK. Excel add-in (Mega Stat) output:

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