For the general population males 6 feet tall weigh an average of 184 pounds. A researcher's claim is that men in an anti-smoking program will gain weight. To test this claim a sample of 6 feet tall men who are in the program are to be selected. Assume the mean weight of 6 feet tall men in this program is actually 194 pounds, σ = 18 pounds, and that the data are normally distributed. The study will test significance at the 0.01 level. How large a sample would be required so that the associated test had 86% power?

Question

Mathematics

Cody Salinas

21 March, 10:51

For the general population males 6 feet tall weigh an average of 184 pounds. A researcher's claim is that men in an anti-smoking program will gain weight. To test this claim a sample of 6 feet tall men who are in the program are to be selected. Assume the mean weight of 6 feet tall men in this program is actually 194 pounds, σ = 18 pounds, and that the data are normally distributed. The study will test significance at the 0.01 level. How large a sample would be required so that the associated test had 86% power?

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Malakai Watts · Answer 1

As given in the problem statement

Height=6 ft

average=184 pounds

sigma=18 pounds

significance level=0.01

Confidence level=99.99

percentage=86%

To give all the data we need a sample size of n=100