Stat 200

I need all work/equations shown.  

 

 

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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 year old

30 minutes

66

68

59

72

46

74

71

67

82

76

60 minutes

69

61

69

73

61

95

92

95

98

94

 

 

 

 

 

 

 

Using the case study below for the next 2 questions.   http://onlinestatbook.com/2/case_studies/adhd.html

 

 

 

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 2×2 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 two 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 data are randomly collected from five teenagers in each region of the country. The numbers represent the age at which teenagers obtained their drivers licenses.

 

 

 

 

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

x=

 

 

 

 

 

s2=

 

 

 

 

 

 

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. F statistic = ________

 

 

 

 

 

69. A researcher wants to know if the mean times (in minutes) that people watch their favorite news stations are the same. Suppose that the tableshows 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 the table below shows 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

49.4

22

4.6

9.4

7.4

12.6

65.4

9.4

11

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 below shows the results 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