### STATS ANOVA questions STATS ANOVA questions

**STATS ANOVA questions STATS ANOVA questions**

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-year-olds |
16-year-olds |
|||||

30 minutes |
66 |
74 |
||||

68 |
71 |
|||||

59 |
67 |
|||||

72 |
82 |
|||||

46 |
76 |
|||||

60 minutes |
69 |
95 |
||||

61 |
92 |
|||||

69 |
95 |
|||||

73 |
98 |
|||||

61 |
94 |
|||||

28 Refer t to the link below.. The dataset ADHD Treatment has four scores per subject. http://onlinestatbook.com/2/case_studies/adhd.html

Q1**. ** Is the design between- subjects or within-subjects?

Q2. Create a ANOVA summery table.

29. Refer to the link below.. 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?

http://onlinestatbook.com/2/case_studies/adhd.html

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 (middles incomes) |
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 13.34 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

61. 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. (For next two problems)

*H0*: *μ*1 = *μ*2 = *μ*3 = *μ*4 = *μ*5

*Hα*: At least any two of the group means *μ*1, *μ*2, …, *μ*5 are not equal.

Q1.) Solve for x̄ and **s**^{2}Above

Q1a.) Degrees of freedom – numerator: *df*(*num*) = _________

Q2.) *F *statistic = ________

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

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 shows the results of a study.

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.

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