In: Statistics and Probability
A researcher wishes to determine whether the blood pressure of vegetarians is, on average, lower than the blood pressure of nonvegetarians. Independent simple random samples of 85 vegetarians and 75 nonvegetarians yielded the following sample statistics for systolic blood pressure:
Vegetarians |
n1= 85 |
= 124.1 mmHg |
s1 = 38.7 mmHg |
Nonvegetarians |
n2 = 75 |
= 138.7 mmHg |
s2 = 39.2 mmHg |
Use a significance level of 0.01 and P-value method to test the claim that the mean systolic blood pressure of vegetarians is lower than the mean systolic blood pressure of nonvegetarians. Do not assume that the population standard deviations are equal. Is being a vegetarian lower the risk of having blood pressure related illness?