Test the Indicated Claim About the Means of Two Populations

Essay

Test the indicated claim about the means of two populations. Assume that the two samples are independent simple random samples selected from normally distributed populations. Do not assume that the population standard deviations
are equal. Use the traditional method or P-value method as indicated.
-A researcher wishes to determine whether people with high blood pressure can reduce their blood pressure, measured in mm Hg, by following a particular diet. Use a significance level of 0.01 to test the claim that the treatment group is from a population with a smaller mean than the control group. Use the traditional method of hypothesis testing.
$$\begin{array} { l } \text { Treatment Group }& \text { Control Group } \\{ n } _ { 1 } = 35& \mathrm { n } _ { 2 } = 28\\\overline { \mathrm { x } } 1 = 189.1 & \overline { \mathrm { x } } 2 = 203.7 \\s _ { 1 } = 38.7 & s _ { 2 } = 39.2 \\\end{array}$$