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# ANOVA

Question 11- 20 refer to the following:
A manufacturer of automobile transmissions uses three different product processes to produce its product. The management ordered a study of the production costs to see if there is a difference among the three production processes. A summary of the findings is shown below:

Process 1 Process 2 Process 3 Total
Process Totals (\$000's) 137 108 107 352
Sample size 10 10 10 30
Sum of Squares 1893 1188 1175 4256

11. What is the sum of squares for the treatment?
a. 67.80
b. 58.07
c. 149.34
d. 23.47

12. What is the sum of the squares for error?
a. 67.80
b. 58.07
c. 149.34
d. 23.47

13. What is the critical value of F at the 5% level of significance?
a. 19.45
b. 3.00
c. 3.35
d. 3.39

14. What is the critical value of F at the 1% level of significance?
a. 99.46
b. 5.49
c. 5.39
d. 4.61

15. What are the degrees of freedom for the numerator of the F ratio?
a. 2
b. 3
c. 10
d. 27

16. What are the degrees of freedom for the denominator?
a. 3
b. 10
c. 27
d. 30

17. What are the total degrees of freedom?
a. 27
b. 28
c. 29
d. 30

18. What is the mean square for treatments?
a. 2.511
b. 2.151
c. 33.9
d. 29.035

19. What is the mean square for error?
a. 2.511
b. 2.151
c. 33.9
d. 29.035

20. What is the calculated F?
a. 0.086
b. 1.168
c. 11.56
d. 13.50

#### Solution Summary

To find sum of squares of error and treatments.

\$2.19