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- From: Mathematics, Statistics and Probability
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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 Year Olds 16 Year Olds
66 74
68 71
30 Mins 59 67
72 82
46 76
69 95
61 92
60 Mins 69 95
73 98
61 94
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 station are the same. Suppose that Table 13.24 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.
CNN FOX LOCAL
45 15 72
12 43 37
18 68 56
38 50 60
23 31 51
35 22
71. Are the mean number of times a month a person eats out the same for whites, blacks, Hispanics and Asians? Suppose that Table 13.26 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.
White Black Hispanic Asian
6 4 7 8
8 1 3 3
2 5 5 5
4 2 4 1
6 6 7
77. A grass roots 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.
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.
Working Class Professional (middle 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
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
Solution Description

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 | |

66 | 74 | |

68 | 71 | |

30 Mins | 59 | 67 |

72 | 82 | |

46 | 76 | |

69 | 95 | |

61 | 92 | |

60 Mins | 69 | 95 |

73 | 98 | |

61 | 94 |

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 station are the same. Suppose that Table 13.24 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 significanc