Question

The National Center for Health Statistics reports that the mean systolic blood pressure for males 35 to 44 years of age is 128. Do the executives of a large company have a different mean blood pressure? We collect data on 72 executives and find X ¯ =126.07 and s = 15. For this test, we plan to use a significance level of 0.05.

1. State your null and alternative hypothesis.

2. What is the value of alpha?

3. Use your calculator to conduct the appropriate hypothesis test. Report your p-value, rounded to 3 decimal places.

4. Based on the p-value obtained in question 3, make a decision and interpret your results in context.

5. If you made an error with your decision, what type of error could you have made? What would this mean in context?

6. Explain the power of this test, in context.

Answer 1