Suppose ordinary, unenhanced athletes have testosterone that takes an approximately normal distribution as N(100,15) and athletes who use steroids have levels that are approximately N(120,20). For a drug test, two separate samples are taken and the average testosterone is calculated. Ho: M=100 Ha: M>100 Calculate the threshold (critical value) for a failed drug test, if the anti-doping agency decides to set it at the 99th percentile for non-steroid using athletes. Calculate the standard error for non-steroid users taking the two sample test. Calculate the probability of making a Type 1, Type 2 error and the Power of the test.