A researcher wanted to test if triglyceride levels (important marker for risk of

Question

A researcher wanted to test if triglyceride levels (important marker for risk of coronary artery disease) were different between men and women. The results of his study analysis are attached. What is the null hypothesis (in words) and what type of test is this? Are the variances equal for the distribution of triglyceride levels in men and women (provide p-value)? Are the mean triglyceride levels significantly different in men versus women (provide p-value). If yes, which group has a significantly higher level?

SAS OUTPUT Variable: triglyceride (triglyceride) NE Mean Std Dev Std Err Minimum Maximum Sex female. 53* 173.8 14.7762. 2.0297. 151.0. 200.0 male 47 249.6 77.8163 11.3507 147.0 450.0 Diff (1-2) 75.7656 54.3891 10.8974 Mean. 95% CL Mean Std Dev 95% CL Std Dev Method Sex 173.8 169.8 177.9 14.7762. 12.4024 18.2822. female 249.6 226.7 272.4 77.8163 64.6634 97.7362. male Diff (1-2). Pooled -75.7656 -97.3912 -54.1399 54.3891 47.7245 63.2343 Diff (1-2) Satterthwaite 75.7656 -98.9381 -52.5931 Method Variances DF t Value Pr It 98. -6.95. 40001 Equal Pooled Satterthwaite Unequal 48.944 -4.57.

Explanation / Answer

a) Checking for equality of variances.

Using Folded F test

F value=27.73

and P<0.0001, hence we conclude that there is a difference between variances ie., variances are unequal

b)

H0:mean triglyceride levels are not significantly different in men versus women

H1: mean triglyceride levels significantly different in men versus women

alpha:5%

Test statistic: (sunce unequal variances)

t cal= -4.57

Conclusion:

P=0.0003 <0.05 we reject the H0.Hence claim is significant

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