Homework SourseYou are a quality engineer for a light manufacturing firm an
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 |
Solution
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 |
