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Statistics Tales of Distributions
Exam 15: More Nonparametric Tests
Path 4
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Question 61
Multiple Choice
What is the rank of 4 in the following distribution? 1, 2, 2, 3, 3, 4, 4, 5, 5
Question 62
Multiple Choice
What rank does a score of 5 receive? Scores: (score of 1 ranks 1) 1, 2, 3, 4, 4, 4, 4, 5, 5
Question 63
True/False
For large samples, the sampling distribution for the Mann-Whitney U test and the Wilcoxon matched-pairs signed-ranks T test is the normal curve.
Question 64
Essay
Students in a 1 P.M. laboratory section in general psychology observed eight people they did not know and made a judgment about their IQ. Half the eight wore glasses; half did not. The 3 P.M. laboratory section judged the same eight persons, but those who wore glasses at 1 P.M. did not wear them at 3 P.M. and vice versa. The result was that each of the eight was given an estimated IQ both with and without glasses. What is the question this experiment is designed to answer? What is the answer to the question?
Without Glasses
With Glasses
121
127
97
104
114
110
131
139
118
120
91
86
127
140
114
125
\begin{array} { c c } \text { Without Glasses } & \text { With Glasses } \\\hline 121 & 127 \\97 & 104 \\114 & 110 \\131 & 139 \\118 & 120 \\91 & 86 \\127 & 140 \\114 & 125\end{array}
Without Glasses
121
97
114
131
118
91
127
114
With Glasses
127
104
110
139
120
86
140
125
Question 65
True/False
For large samples, the sampling distribution for the Mann-Whitney U test and the Wilcoxon matched-pairs signed-ranks T test is the F distribution.
Question 66
True/False
The null hypothesis in nonparametric tests is that the populations being sampled from have identical distributions.
Question 67
Multiple Choice
Given the scores: 7, 7, 8, 8, 8, 9, a score of 8 is given the rank
Question 68
Multiple Choice
In the Wilcoxon matched-pairs signed-ranks T test
Question 69
Multiple Choice
To test for a significant difference between related samples, use a
Question 70
Essay
Farmer Brown, who also serves as the community's Shakespearean Quantitative Critic, delivered a plea at the county fair, asking farmers from the county's three groups to lend him unshelled corn. (You might be able to figure out how he would phrase his pleas.) The number of bushels offered by the farmers is shown below. What can you conclude about the three groups?
Friends
Romans
Countrymen
25
14
8
31
18
15
17
10
11
22
16
7
27
9
13
29
10
12
\begin{array} { c c c } \text { Friends } & \text { Romans } & \text { Countrymen } \\\hline 25 & 14 & 8 \\31 & 18 & 15 \\17 & 10 & 11 \\22 & 16 & 7 \\27 & 9 & 13 \\29 & 10 & 12\end{array}
Friends
25
31
17
22
27
29
Romans
14
18
10
16
9
10
Countrymen
8
15
11
7
13
12
Question 71
Multiple Choice
require that the variances be equal for the dependent variable scores of the populations in question.
Question 72
Multiple Choice
Mann-Whitney U is to Wilcoxon matched-pairs signed-ranks T asis to
Question 73
Multiple Choice
If the populations that are being tested are normally distributed and have equal variances,
Question 74
True/False
A Spearman r
s
value of 1.96 is not possible.
Question 75
Multiple Choice
When sample size is large, a U from a Mann-Whitney U test is evaluated using
Question 76
Multiple Choice
Suppose you obtained a Spearman r
s
of .52 between tennis ability and racquetball ability for a class of 14 college students. For a two-tailed test, you may conclude that tennis ability and racquetball ability are