This is a statistics for biology majors.

A researcher is planning a study of the relationship between physical activity and various health measures, including high-density lipoprotein (HDL). She first needs to collect pilot data for her grant proposal. She finds 7 men between the ages of 30 and

40 who lead physically active lives (defined as meeting the recommendations of Healthy People 2010 for physical activity). The sample mean HDL of the men is 51.1 mg/dL; the sample standard deviation is 9.3 mg/dL. According to the most recent

national health data, the mean HDL of all 30- to 40-year-old men is 48 mg/dL.

1. Let be the true mean HDL of 30- to 40-year-old, physically active men. State the null and alternative hypotheses as equations in terms of .
2. Carry out the appropriate analysis using the p-value method at level =.05. (Assume that HDL is normally distributed.)
3. Interpret the result using complete sentence, not an equation.
4. Is there evidence that, between the ages of 30 and 40, men who lead physically active lives have a different mean HDL from men in general?