A HIV researcher is interested in a new anti-retroviral treatment (ART) drug pro

Question

A HIV researcher is interested in a new anti-retroviral treatment (ART) drug program for third world nations with a high proportion of HIV-infections. In order to test the intervention, the researcher randomly assigns two groups to receive either the new ART drug or the current standard of care ART. Suppose a SRS of 247 people in the treatment arm have an average CD4 cell count of 225 with a sample standard deviation of 20.4, and a SRS of 289 in the control arm have an average CD4 cell count of 181 with a sample standard deviation of 6.8. Note that the CDC classifies a CD4 count of

Explanation / Answer

A) Yes, here we can perform two-sample t-test because here the two groups are independent.

B) Before performing t-test we have to check whether the two variances are equal or not. Thus we have to perform an F-test to verify whether the variances are equal or not. If it is equal then we will proceed t-test with equal variances otherwise we will perform t-test with unequal variances.

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