Question

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. Refer to the accompanying data set. Use a 0.05 significance level to test the claim that women and men have the same mean diastolic blood pressure.
1. Let μ1 be the mean diastolic blood pressure for women and let μ2 be the mean diastolic blood pressure for men. What are the null and alternative​ hypotheses?
2. Calculate the test statistic.(Round to two decimal places as​ needed.)
3. Find the​ P-value. (Round to three decimal places as​ needed.)
4. Make a conclusion about the null hypothesis and a final conclusion that addresses the original claim.

Answer 1

1. The null hypothesis is that μ1 = μ2, or that the mean diastolic blood pressure for women is equal to the mean diastolic blood pressure for men.

The alternative hypothesis is that μ1 ≠ μ2, or that the mean diastolic blood pressure for women is not equal to the mean diastolic blood pressure for men.

2. The test statistic is 2.19.

3. The P-value is 0.033.

4. The null hypothesis is rejected. This means that the mean diastolic blood pressure for women is not equal to the mean diastolic blood pressure for men. The final conclusion is that women and men do not have the same mean diastolic blood pressure.

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