Answers only (no work) statistics
58. Use the following information. Two cyclists are comparing the variances of their overall paces going uphill. Each cyclist records his or her speeds going up 35 hills. The first cyclist has a variance of 23.8 and the second cyclist has a variance of 32.1. The cyclists want to see if their variances are the same or different.
At the 5% significance level, what can we say about the cyclists’ variances?
60. 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 = ________ ________ ________ ________ ________
State the hypotheses.
H0: ____________
Ha: ____________
62. H0: μ1 = μ2 = μ3 = μ4 = μ5
Hα: At least any two of the group means μ1, μ2, …, μ5 are not equal.
degrees of freedom – denominator: df(denom) = ________
68. Eliminate one magazine type that you now feel has a mean length different from the others. Redo the hypothesis test, testing that the remaining three means are statistically the same. Use a new solution sheet. Based on this test, are the mean lengths for the remaining three magazines statistically the same?
Home decorating news health computer
172 87 82 104
286 94 153 136
163 123 87 98
205 106 103 207
197 101 96 146
70. Are the means for the final exams the same for all statistics class delivery types? Table 13.25 shows the scores on final exams from several randomly selected classes that used the different delivery types.
Online Hybrid Face-to-Face
72 83 80
84 73 78
77 84 84
80 81 81
81 86
79
82
72. Are the mean numbers of daily visitors to a ski resort the same for the three types of snow conditions? Suppose that Table 13.27 shows the results of a study.
Powder Machine Made Hard Packed
1,210 2,107 2,846
1,080 1,149 1,638
1,537 862 2,019
941 1,870 1,178
1,528 2,233
1,382
74. DDT is a pesticide that has been banned from use in the United States and most other areas of the world. It is quite effective, but persisted in the environment and over time became seen as harmful to higher-level organisms. Famously, egg shells of eagles and other raptors were believed to be thinner and prone to breakage in the nest because of ingestion of DDT in the food chain of the birds.
An experiment was conducted on the number of eggs (fecundity) laid by female fruit flies. There are three groups of flies. One group was bred to be resistant to DDT (the RS group). Another was bred to be especially susceptible to DDT (SS). Finally there was a control line of non-selected or typical fruitflies (NS). Here are the data:
RS SS NS RS SS NS
12.8 38.4 35.4 22.4 23.1 22.6
76. Three students, Linda, Tuan, and Javier, are given five laboratory rats each for a nutritional experiment. Each rat’s weight is recorded in grams. Linda feeds her rats Formula A, Tuan feeds his rats Formula B, and Javier feeds his rats Formula C. At the end of a specified time period, each rat is weighed again and the net gain in grams is recorded.
13.1
Linda’s rats Tuan’s rats Javier’s rats
43.5 47.0 51.2
39.4 40.5 40.9
41.3 38.9 37.9
46.0 46.3 45.0
38.2 44.2 48.6
78. Examine practice laps 3 and 4. Determine whether or not the variance in lap time is statistically the same for those practice laps. Look at chart above 13.1
80. Which two magazine types do you think have different variances in length?
home decorating news health computer
172 87 82 104
286 94 153 136
163 123 87 98
205 106 103 207
197 101 96 146
BOOK1:
10. If an experiment is conducted with 5 conditions and 6 subjects in each
condition, what are dfn and dfe?
26. Give the source and df columns of the ANOVA summary table for the following experiments:
a. Twenty two subjects are each tested on a simple reaction time task and on a
choice reaction time task.
b. Twelve male and 12 female subjects are each tested under three levels of
drug dosage: 0 mg, 10 mg, and 20 mg.
c. Twenty subjects are tested on a motor learning task for three trials a day for
two days.
d. An experiment is conducted in which depressed people are either assigned to
a drug therapy group, a behavioral therapy group, or a control group. Ten subjects are assigned to each group. The level of measured once a month for four months
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
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