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You are a quality engineer for a light manufacturing firm and are testing widget

ID: 3438167 • Letter: Y

Question

You are a quality engineer for a light manufacturing firm and are testing widgets. You have five Milled Widgets and seven Forged Widgets. You install these widgets into gadgets and run the gadgets until failure, keeping track of the time taken. The time to failure for the Milled Widgets is: (932,972,926,1067,913) with a mean of 962, and the time to failure for the Forged Widgets is: (438,673,593,590,416,360,401) with a mean of 495.8571. The mean of all the widgets is 690.0833. Use a One-Way ANOVA to test the hypothesis that the mean time-to-failure of the Milled and Forged Widgets is the same. What is the F-Statistic of this test? Explain your answer

Question 26 options:

66.83

56.71

55.92

65.07

61.78

53.3

66.83

56.71

55.92

65.07

61.78

53.3

Explanation / Answer

F=61.78

F=MST/MSE

Mean n Std. Dev 962.0 5 62.69 Group 1 495.9 7 120.32 Group 2 690.1 12 258.73 Total ANOVA table Source SS    df MS F Treatment 633,760.06 1 633,760.060 61.78 Error 102,580.86 10 10,258.086 Total 736,340.92 11