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  • From Mathematics, Statistics
  • Due on 26 Mar, 2016 11:20:00
  • Asked On 24 Mar, 2016 03:22:25
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Week 8

10. If an experiment is conducted with 5 conditions and 6 subjects in each condition, what are dfn and dfe?

 

17. The following data are from a hypothetical study on the effects of age and time on scores on a test of reading comprehension. Compute the analysis of variance summary table.

 

12 years old

16 years old

30

66

68

59

72

46

74

71

67

82

76

60

69

61

69

73

61

95

92

95

98

94

 

 

28. ADHD Treatment (AT) case study 28. (AT) The dataset ADHD Treatment has four scores per subject. a. Is the design between-subjects or within-subjects? b. Create an ANOVA summary table.

 

29. (AT) Using the Anger Expression Index from the Angry Moods study as the dependent variable, perform a 2x2 ANOVA with gender and sports participation as the two factors. Do athletes and non-athletes differ significantly in how much anger they express? Do the genders differ significantly in Anger Expression Index? Is the effect of sports participation significantly different for the two genders?

 

Use the following information to answer the next three exercises. Suppose a group is interested in determining whether teenagers obtain their drivers licenses at approximately the same average age across the country.  Suppose that the following

 

Northeast

SOUTH

WEST

CENTRAL

EAST

 

16.3

16.9

16.4

16.2

17.1

 

16.1

16.5

16.5

16.6

17.2

 

16.4

16.4

16.6

16.5

16.6

 

16.5

16.2

16.1

16.4

16.8

 

                

 

 

 

 

 

 

 

 

 

 

 

 H0:µ1 =µ2 =µ3 =µ4 =µ5

 Hα: At least any two of the group means µ1,µ2, …,µ5 are not equal.

61. degrees of freedom – numerator: df(num) = _________

63. Fstatistic = ________

69. A researcher wants to know if the mean times (in minutes) that people watch their favorite news station are the same. Suppose that Table 13.24shows the results of a study.

 

CNN

FOX

LOCAL

45

15

72

12

43

37

18

68

56

38

50

60

23

31

51

35

22

 

Assume that all distributions are normal, the four population standard deviations are approximately the same, and the data were collected independently and randomly. Use a level of significance of 0.05.

71. Are the mean number of times a month a person eats out the same for whites, blacks, Hispanics and Asians? Suppose that Table 13.26shows the results of a study

WHITE

BLACK

HISPANIC

ASIAN

6

4

7

8

8

1

3

3

2

5

5

5

4

2

4

1

6

 

6

7

 

Assume that all distributions are normal, the four population standard deviations are approximately the same, and the data were collected independently and randomly. Use a level of significance of 0.05.

 

77. A grassroots group opposed to a proposed increase in the gas tax claimed that the increase would hurt working-class people the most, since they commute the farthest to work. Suppose that the group randomly surveyed 24 individuals and asked them their daily one-way commuting mileage. The results are as follows.

WORKING CLASS

PROFESSIONAL MIDDLE CLASS

PROFESSIONAL WEALTHY

17.8

16.5

8.5

26.7

17.4

6.3

49.5

22.0

4.6

9.4

7.4

12.6

65.4

9.4

11.0

47.1

2.1

28.6

19.5

6.4

15.4

51.2

13.9

9.3

 

Determine whether or not the variance in mileage driven is statistically the same among the working class and professional (middle income) groups. Use a 5% significance level.

 

81 .Is the variance for the amount of money, in dollars, that shoppers spend on Saturdays at the mall the same as the variance for the amount of money that shoppers spend on Sundays at the mall? Suppose that the Table 13.34showstheresults of a study.

SATURDAY

SUNDAY

SATURDAY

SUNDAY

75

44

62

137

18

58

0

82

150

61

124

39

94

19

50

127

62

99

31

141

73

60

118

73

 

89

 

 

 

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STAT 200 Week 8 Homework 10 COMPLETE SOLUTION
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8 1 Lane et al. 15 10 573 8 2 Lane et al. 15 17 574 8 3 Lane et al. 15 28 577 8 4 Lane et al. 15 29 577 8 5 Illowsky et al. 13 61 716 8 6 Illowsky et al. 13 63 716 8 7 Illowsky et al. 13 69 717 8 8 Illowsky et al. 13 71 718 8 9 Illowsky et al. 13 77 721 8 10 Illowsky et al. 13 81 722 1.) If an experiment is conducted with 5 conditions and 6 subjects in each condition, what are dfn and dfe? dfn = number of groups -1 = 5 – 1 = 4 dfe = Number of subjects in all groups – number of groups = 30 – 5 = 25 17. The following data are from a hypothetical study on the effects of age and time on scores on a test of reading comprehension. Compute the analysis of variance summary table. 12 Year Olds 16 Year Olds 30 minutes 66 68 59 72 46 74 71 67 82 76 60 minutes 69 61 69 73 61 95 92 95 98 94 SUMMARY 12 Year Olds 16 Year Olds Total 30 minutes Count 5 5 10 Sum 311 370 681 Average 62.2 74 68.1 Variance 104.2 31.5 98.98888889 60 minutes Count 5 5 10 Sum 333 474 807 Average 66.6 94.8 80.7 Variance 28.8 4.7 235.7888889 Total Count 10 10 Sum 644 844 Average 64.4 84.4 Variance 64.48888889 136.2666667 ANOVA Source of Variation SS df MS F P-value F crit Sample 793.8 1 793.8 18.76595745 0.000515188 4.493998418 Columns 2000 1 2000 47.28132388 3.72647E-06 4.493998418 Interaction 336.2 1 336.2 7.947990544 0.012341938 4.493998418 Within 676.8 16 42.3 Total 3806.8 19 ADHD Treatment (AT) case study 28. (AT) The dataset ADHD Treatment has four scores per subject. a. Is the design between-subjects or within-subjects? b. Create an ANOVA summary table. a. The design is between subjects. b. SUMMARY Groups Count Sum Average Variance D0 24 954 39.75 128.0217 D15 24 952 39.66667 83.44928 D30 24 1064 44.33333 138.5797 D60 24 1073 44.70833 151.7808 ANOVA Source of Variation SS df MS F P-value F crit Between Groups 557.6146 3 185.8715 1.481545 0.224747 2.703594 Within Groups 11542.13 92 125.4579 Total 12099.74 95 29. (AT) Using the Anger Expression Index from the Angry Moods study as the dependent variable, perform a 2x2 ANOVA with...
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