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REVIEW QUESTIONS AND EXERCISES 749
Traditional Students’ Scores
Nontraditional Students’ Scores
84 57 56 62
56 91 31 77
68 76 80 86
94 60
Source: Wendy Gantt and the Wright State University Statistical Consulting Center. Used with permission.
Do these data provide sufficient evidence to indicate a difference in population medians Let a = .05.
What is the p value for this test Use both the median test and the Mann–Whitney test and compare
the results.
11. The following are the PaCO 2 (mm Hg) values in 16 patients with bronchopulmonary disease:
39, 40, 45, 48, 49, 56, 60, 75, 42, 48, 32, 37, 32, 33, 33, 36
Use the Kolmogorov–Smirnov test to test the null hypothesis that PaCO 2 values in the sampled
population are normally distributed with m = 44 and s = 12.
12. The following table shows the caloric intake (cal/day/kg) and oxygen consumption VO 2 (ml/min/kg)
in 10 infants:
Calorie
Calorie
Intake (X) VO 2 (Y) Intake (X) VO 2 (Y)
50 7.0 100 10.8
70 8.0 150 12.0
90 10.5 110 10.0
120 11.0 75 9.5
40 9.0 160 11.9
Test the null hypothesis that the two variables are mutually independent against the alternative that
they are directly related. Let a = .05. What is the p value for this test
13. Mary White (A-15) surveyed physicians to measure their opinions regarding the importance of
ethics in medical practice. The measurement tool utilized a scale from 1 to 5 in which a higher
value indicated higher opinion of the importance of ethics. The ages and scores of the study subjects
are shown in the following table. Can one conclude on the basis of these results that age and
ethics score are directly related Let the probability of committing a type I error be .05. What is
the p value
Age Ethics Age Ethics Age Ethics
25 4.00 26 4.50 26 4.50
34 4.00 29 4.75 27 5.00
30 4.25 30 4.25 22 3.75
31 3.50 26 4.50 22 4.25
25 4.75 30 4.25 24 4.50
(Continued)