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.

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.

Treatment Group Control Group

n1 = 35 n2 = 28

_ _

x1 = 189.1 x2 = 203.7

s1 = 38.7 s2 = 39.2

A) State the null and alternative hypotheses.

H1: H0:

B) What is the test statistic?

C) Find the critical value or the p-value.

D) Reject H0 or Do not Reject H0?

E) State the conclusion.