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STAT 200 Week 8 Homework | (5 Questions Answered)
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Lane – Ch. 15

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

Illowsky – Ch. 13

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 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-bar = ________ ________ ________ ________ ________ s^2 = ________ ________ ________ ________ ________ H0:µ1=µ2=µ3=µ4=µ5 Hα: At least any two of the group meansµ1,µ2, …,µ5are not equal.

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

63. F static = ________

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.

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 13.26 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

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

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STAT 200 Week 8 Homework | (5 Questions Answered)
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The best test for the above data is One- Way Analysis of variance (ANOVA). An independent Group ANOVA is an extension of the independen...

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