10.Match problems to procedures.

_______ Data were gathered in an experiment comparing the effects of three insecticides in controlling a certain species of parasitic beetle. Each observation represents the number of such insects found dead in a certain fixed area treated with an insecticide.

_______ Does the data validate the normal probability distribution assumption?

_______ Do contingent classification values matter?

_______ A multinormal probability distribution describes the distribution of counts across multiple levels of a variable. A special case is the binomial discrete probability distribution. For each level of variable, which is common to multiple populations, equality of distributions can be tested.

1.ANOVA

2.Chi-square test of homogeneity

3.Chi-square test of independence

4.Chi-square test of goodness of fit

11. An Air Quality instrument logs 0 when standards are not met and 1 when standards are met. The following is the saved file:

Time

Air Quality

0:00:00

1

0:00:30

1

0:01:00

1

0:01:30

1

0:02:00

1

0:02:30

1

0:03:00

1

0:03:30

1

0:04:00

1

0:04:30

1

0:05:00

1

0:05:30

1

0:06:00

1

0:06:30

1

0:07:00

1

0:07:30

1

0:08:00

1

0:08:30

0

0:09:00

0

0:09:30

0

0:10:00

1

0:10:30

1

0:11:00

1

0:11:30

0

0:12:00

1

0:12:30

0

0:13:00

1

0:13:30

0

0:14:00

1

0:14:30

1

0:15:00

0

0:15:30

1

0:16:00

0

0:16:30

1

0:17:00

1

0:17:30

0

0:18:00

1

0:18:30

1

0:19:00

1

0:19:30

1

0:20:00

1

0:20:30

1

0:21:00

1

0:21:30

1

0:22:00

1

0:22:30

1

0:23:00

1

0:23:30

1

First, compute the proportion meeting standards as the mean of Air Quality values. Second, at alpha = 0.10 (sensitive, exploratory), test the hypothesis that proportion of times that air quality meets standards is at least 90%.

a.The pvalue of 0.062 indicates that the data provide weak evidence againt H0: 0.90. H0 is rejected at ax = 0.10.

b.The pvalue of 0.022 indicates that the data provide strong evidence against H0: 0.90. H0 is rejected at ax = 0.10. The status quo has changed.

c.The pvalue of 0.006 indicated that the data provide overwhelming evidence against H0: 0.90. H0 is rejected at ax = 0.10. Send out an air quality alert.

d.The pvalue of 0.966 indicates that the data provide insignificant evidence against H0: 0.90. H0 is not rejected at ax = 0.10. The status quo remains unchanged.

e.None of the answers are correct.

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.