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236 CHAPTER 7 HYPOTHESIS TESTING
7.2.10 Following a week-long hospital supervisory training program, 16 assistant hospital administrators
made a mean score of 74 on a test administered as part of the evaluation of the training
program. The sample standard deviation was 12. Can it be concluded from these data that the
population mean is greater than 70 Let a = .05. What assumptions are necessary
7.2.11 A random sample of 16 emergency reports was selected from the files of an ambulance service.
The mean time (computed from the sample data) required for ambulances to reach their destinations
was 13 minutes. Assume that the population of times is normally distributed with a variance
of 9. Can we conclude at the .05 level of significance that the population mean is greater
than 10 minutes
7.2.12 The following data are the oxygen uptakes (milliliters) during incubation of a random sample of
15 cell suspensions:
14.0, 14.1, 14.5, 13.2, 11.2, 14.0, 14.1, 12.2,
11.1, 13.7, 13.2, 16.0, 12.8, 14.4, 12.9
Do these data provide sufficient evidence at the .05 level of significance that the population mean
is not 12 ml What assumptions are necessary
7.2.13 Can we conclude that the mean maximum voluntary ventilation value for apparently healthy college
seniors is not 110 liters per minute A sample of 20 yielded the following values:
Let a = .01. What assumptions are necessary
132, 33, 91, 108, 67, 169, 54, 203, 190, 133,
96, 30, 187, 21, 63, 166, 84, 110, 157, 138
7.2.14 The following are the systolic blood pressures (mm Hg) of 12 patients undergoing drug therapy
for hypertension:
183, 152, 178, 157, 194, 163, 144, 114, 178, 152, 118, 158
Can we conclude on the basis of these data that the population mean is less than 165 Let
What assumptions are necessary
7.2.15 Can we conclude that the mean age at death of patients with homozygous sickle-cell disease is
less than 30 years A sample of 50 patients yielded the following ages in years:
15.5 2.0 45.1 1.7 .8 1.1 18.2 9.7 28.1 18.2
27.6 45.0 1.0 66.4 2.0 67.4 2.5 61.7 16.2 31.7
6.9 13.5 1.9 31.2 9.0 2.6 29.7 13.5 2.6 14.4
20.7 30.9 36.6 1.1 23.6 .9 7.6 23.5 6.3 40.2
23.7 4.8 33.2 27.1 36.7 3.2 38.0 3.5 21.8 2.4
Let a = .05. What assumptions are necessary
7.2.16 The following are intraocular pressure (mm Hg) values recorded for a sample of 21 elderly subjects:
14.5 12.9 14.0 16.1 12.0 17.5 14.1 12.9 17.9 12.0
16.4 24.2 12.2 14.4 17.0 10.0 18.5 20.8 16.2 14.9
19.6
a = .05.
Can we conclude from these data that the mean of the population from which the sample was
drawn is greater than 14 Let a = .05. What assumptions are necessary