Give the P-value for the associated two sided T test.

Question

A pharmaceutical company is interested in testing a therapeutic agent that can potentially lower

blood pressure. Their initial examination considers only subjects who received the therapy at

baseline then two weeks later. The data are as follows (SBP in mmHg)

Subject Baseline Week 2: 1. 140 132 | 2. 138 135 | 3. 150 151 | 4. 148 146 | 5. 135 130

Consider testing the hypothesis that there was an average reduction in blood pressure? Give the Pvalue for the associated two sided T test.

Answer 1

A paired t-test is appropriate here.

The mean of group 1 - group 2 = 2.4

The standard error of the difference is 1.503

The t-statistic is 2.2616

The p-value for that t-statistic = P(|t| > 2.2616) at 4 degrees of freedom = 0.0865