15. National Bearings manufactures bearings at plants located in Portland Oregon, Houston Texas, and Jacksonville Florida. To measure employee knowledge of Total Quality Management (TQM), six employees were randomly selected at each plant and tested. The test scores for these employees are given the following DATA:

Ovservation

Portland

Houston

Jacksonville

1

85

71

61

2

75

75

66

3

82

73

64

4

76

74

71

5

71

69

77

6

85

82

69

Managers want to know if, on average, knowledge of TQM is equal across the 3 plants. Test equality of mean scores at ax = 0.05.

a.The F value of 3.419 is < the F critical value of 3.682, therefore do not reject equality of means. Knowledge of TQM is equal across the 3 plants.

b.The F value of 1.326 is < the F critical value of 3.682, therefore do not reject equality of means. Knowledge of TQM is equal across the 3 plants.

c.The F value of 9 is > the F critical value of 3.682, therefore do not reject equality of means. Knowledge of TQM is not equal across the 3 plants.

d.The F value of 6.349 is > the F critical value of 3.682, therefore do not reject equality of means. Knowledge of TQM is not equal across the 3 plants.

16. To test whether the mean time to mix a batch of adhesive is the same for machines produced by four manufacturers, TiteBondMax obtained the following DATA on the times (minutes) needed to mix the materials. Test whether the machines have equal mean mixing time at ax = 0.01.

Manufacturer

A

B

C

D

25

23

25

22

23

21

25

23

21

23

25

23

23

24

21

22

a.The data provides strong evidence against H0: Equal means at pvalue 0.013. The mixing machines are not all equal.

b.The pvalue 0.0001 is extreme evidence that the machines are not all the same.

c.The data provide insignificant evidence against H0: Equal means at pvalue 0.514. The machine are considered equal.

d.The data provide weak evidence against H0: Eual means at pvalue 0.072. Equality of means remains plausible.

e.The data provides strong evidence against H0: Equal means at pvalue 0.001. The mixing machines are not all equal.

f.None of the answers are correct.

18. Given the following contingency table with category labels A, B, C, X, Y, and Z, what is the expected count with 1 decimal place in the joint category of C and X?

XYZ

A11109

B1562

C715