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Hypothesis testing the difference between two population means

Subjects In a study by Dabonneville et al (A-9) included sample of 40 men who claimed to engage in a variety of sports Activities (multisport). The mean body massindex (BMI) for these men was 22.41 with standard deviation of 1.27. A sample of 24 male rugby players had a mean BMI for 27.75 with a standard deviation of 2.64.Is there sufficient evidence for one to claim that , in general, rugby players have a higer BMI than the multisport men?let α=.01

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Answer #1

The test hypothesis is
Ho:μ1=μ2
Ha:μ1<μ2

The test statistic is

Z=(xbar1-xbar2)/√[s1^2/n1 +s2^2/n2]

=(22.41-27.75)/sqrt(1.27^2/40+2.64^2/24)

=-9.29

Given a=0.01, the critical value is Z(0.01)=-2.33 (check standard normal table)

Since Z=-9.29 is less than -2.33, we reject Ho.

answered by: ms.mitchken
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