Consider a test for heart disease among chimpanzees in which the mean and std. dev. of total cholesterol for healthy chimps are 179 mg/dL and 34 mg/dL, respectively. If a chimp has cholesterol above 235, it is considered to have come from a different population than this one, and likely has a high level of heart disease risk. This corresponds to a z-score of 1.65 and an alpha of 0.05 in a one-tailed test.
Assuming that chimps prone to heart disease have a mean and std. dev. of 217 and 35, what is the z-score of an unhealthy chimp in this distribution at the critical value of 235?