Question: A researcher wishes to determine whether people with high blood pressure can reduce their blood pressure by following a particular diet. Use the sample data below to test the claim that the true population mean \({{\mu }_{1}}\), is smaller than the controlled population mean \({{\mu }_{2}}\). Test the claim using a significance level of 0.01.

Treatment Group Control Group

n₁= 41 n₂= 38

\({{\bar{X}}_{1}}\) = 179.6 \({{\bar{X}}_{2}}\) = 199.7

s₁= 34.7 s₂=38.5