A researcher wishes to determine whether the systolic blood pressure of people who follow a vegetarian diet is, on average, lower than the systolic blood pressure of those who follow a nonvegetarian diet. Independent simple random samples of 85 vegetarians and 75 nonvegetarians yielded the following sample statistics: Vegetarians Nonvegetarians n] = 85 n2 = 75 x1= 124 x2= 138 s1 = 38 s2 = 39 Use the sample data to test the claim that the mean systolic blood pressure for vegetarians is lower than the mean systolic blood pressure for nonvegetarians. Test the claim using a significance level of 0.01. (Assume vegetarians and nonvegetarians have the same population standard deviations) (10 points)
