You're conducting a trial to test to see if a new medication for familial hypercholesterolemia is effective at reducing the amount of LDL cholesterol among patients with an elevated LDL (mean 170 md/dL). You plan to enroll patients into control and experimental groups, where 1/2 receive the current standard of care and 1/2 receive the new medication.

1.) State the null and alternative hypothesis for the trial

2.) Due to an extremely limited budget, researchers are only able to enroll 18 people in the experimental and control groups, for a total of 36 people in their trial. Based on this information, should they be more concerned over a type I or type II error?

3.) Given the sample size what is our statistical power if the effect size is 10 mg/dL? Use a significance level of .025 and a standard deviation of 2 mg/dL.