Basic Statistics

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8.3

8.4

8.5

8.6

TESTS OF HYPOTHESES ON POPULATION MEANS

In Problem 7.8, make a test to determine whether or not isoniazid treatment for

leprosy was effective. Use Q = .05.

In Problem 7.7, test to determine (a) whether or not oral and rectal temperatures

are the same; (b) whether mean oral temperature is 37°C. Use cy = .05 in both

(a) and (b).

Investigators are studying two drugs used to improve the FEVl readings (a

measure of lung function) in asthmatic patients. Assume that r~ = .8 and the

difference in means they wish to detect is .25. If they want to do a two-sided

test of equal population means with a = .05 and p = .20, what sample size

should they use?

Test the null hypothesis of equal means for the data given in Problem 7.9 using

cy = .01.

REFERENCES

Kraemer, H. C. and Thiemann, S. [1987]. How Many Subjects?, Newbury Park, CA: Sage.

Milliken, G. A. and Johnson, D. E. [ 19841. Analysis ofMessy Data, Belmont, CA: Wadsworth,

Rothman, K. J. [ 19861. Modern Epidemiology, Boston, MA: Little, Brown, 120-121.

Schenker, N. and Gentleman, J. F, [2001]. On judging the significance of differences by

examining the overlap between confidence intervals, The American Statistician, 55, 182-

186.

van Belle, G., Fisher, L. D., Heagerty, P. J. andLumley, T. [2004]. Biostatistics: AMethodology

for the Health Sciences, Hoboken, NJ: Wiley-Interscience, 106-1 15.

Wellek, S. [2003]. Testing Statistical Hypotheses of Equivalence, Boca Raton, FL: Chapman

& Hall/CRC.

30-45.