Assuming that chimps prone to heart disease have a mean and, Ask an Expert

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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?

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