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730 CHAPTER 13 NONPARAMETRIC AND DISTRIBUTION-FREE STATISTICS
Subject Area
Student
Number Fundamentals Physiology Anatomy
3 76 80 91
4 95 81 84
5 83 77 80
6 99 70 93
7 82 80 87
8 75 72 81
9 88 81 83
Test the null hypothesis that student nurses constituting the population from which the above sample
was drawn perform equally well in all three subject areas against the alternative hypothesis
that they perform better in, at least, one area. Let a = .05.
13.9.2 Fifteen randomly selected physical therapy students were given the following instructions: “Assume that
you will marry a person with one of the following handicaps (the handicaps were listed and designated
by the letters A to J). Rank these handicaps from 1 to 10 according to your first, second, third (and so
on) choice of a handicap for your marriage partner.” The results are shown in the following table.
Handicap
Student
Number A B C D E F G H I J
1 1 3 5 9 8 2 4 6 7 10
2 1 4 5 7 8 2 3 6 9 10
3 2 3 7 8 9 1 4 6 5 10
4 1 4 7 8 9 2 3 6 5 10
5 1 4 7 8 10 2 3 6 5 9
6 2 3 7 9 8 1 4 5 6 10
7 2 4 6 9 8 1 3 7 5 10
8 1 5 7 9 10 2 3 4 6 8
9 1 4 5 7 8 2 3 6 9 10
10 2 3 6 8 9 1 4 7 5 10
11 2 4 5 8 9 1 3 7 6 10
12 2 3 6 8 10 1 4 5 7 9
13 3 2 6 9 8 1 4 7 5 10
14 2 5 7 8 9 1 3 4 6 10
15 2 3 6 7 8 1 5 4 9 10
Test the null hypothesis of no preference for handicaps against the alternative that some handicaps
are preferred over others. Let a = .05.
13.9.3 Ten subjects with exercise-induced asthma participated in an experiment to compare the protective
effect of a drug administered in four dose levels. Saline was used as a control. The variable of interest
was change in FEV 1 after administration of the drug or saline. The results were as follows: