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

19. What is the critical value for level of significance and table parameters in the following DATA:

Level of Significance

0.05

Number of Rows

2

Number of Columns

3

a.5.991

b.None of the answers are correct.

c.11.143

d.18.475

e.22.307

20.

Part Quality

Supplier

Good

Minor Defect

Major Defect

A

100

5

8

B

160

10

4

C

150

7

11

This DATA contains Part Quality data of three suppliers. At ax = 0.05, does Part Quality depend on Supplier, or should the cheapest Supplier be chosen?

a.Pvalue of 0.0008 rejects the assumption of independence of Part Quality and Supplier. Further supplier evaluation is recommended.

b.None of the answers fit the data.

c.Pvalue of 0.039 rejects the assumption of indepence of Part Quality and Supplier. Further supplier evaluation is recommended.

d.The assumption of indepence of Part Quality and Supplier cannot be rejected. Choose the cheapest Supplier.

e.Pvalue of 0.008 rejects the assumption of independence of Part Quality and Supplier. Further supplier evaluation is recommended.

21. A sales regain has been divied into five territories, each of which was believed to have equal sales potential. The actual Sales Volume for several sampled days is logged in the following DATA:

At ax = 0.05, do the territories have equal Sales Volume?

a.H0: Territories have equal Sales Volume is rejected with pvalue 0.012. The counts are not consistent with the model of equal proportions. Territories have unequal Sales Volume.

b.H0: Territories have equal Sales Volume is not rejected with pvalue 0.334. The counts are consistent with the model of equal proportions.

c.H0: Territories have equal Sales Volume is not rejected with pvalue 0.074. The counts are not consistent with the model of equal proportions.

d.None of the answers are correct

e.H0: Territories have equal Sales Volume is rejected with pvalue 0.041. The counts are not consistent with the model of equal proportions. Territories have unequal Sales Volume.

22. Scatter plots are used to discover relationships between variables. Using the corresponding measrements of variable 1 and variable 2 in the following DATA:

variable1

variable2

-8.78162

18.34055

7.39749

2.85607

3.75278

6.23950

-3.91953

13.58786

-7.62142

18.08145

-4.59753

12.85170

-3.41580

13.45867

-0.28752

8.95585

-8.37001

18.84054

6.00523

3.95631

-3.85438

13.08315

-2.86084

13.53479

4.42861

4.86409

-1.24050

9.81458

-4.80313

15.31168

-5.14316

14.74720

-7.41768

17.07810

-5.39179

15.51509

2.34057

8.38950

-8.82911

19.72766

-1.77868

11.60777

-8.99293

18.44845

-7.83663

18.07113

1.56835

7.71226

-Plot variable 1 vs. variable 2 and describe the correlation between variable 1 and variable 2.

a.The strength of the relationship is moderate, linear, and negative.

b.There is no relationship, or the strength of the relationship is very week.

c.The strength of the relationship is strong, but it is not linear.

d.The relationship is linear, positive, and strong.

e.The strength of the relationship is moderate, linear, and positive.

f.None of the answers accurately characterize the data.

g.The relationship is linear, negative and strong.