Suppose we are interested in testing if there is a difference in the mean systolic blood pressure for men and women. A sample of 100 men had a sample mean of 123.5 and a sample standard deviation of 9. A sample of 125 women had a sample mean of 128.2 and a standard deviation of 12. Use the pooled standard error.
(a) What is the parameter of interest?
(b) What are the null and alternative hypotheses?
(c) Find the test statistic to test the hypothesis.
(d) What are the degrees of freedom for this test?
(e) Find the p-value.
(f) State the conclusion.