Part 1: Consider the following situation: When 40 people use the Weight Watchers diet for one year, their mean weight loss was = 3

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Part 1: Consider the following situation: When 40 people use the Weight Watchers diet for one year, their mean weight loss was = 3.0 pounds. The historical standard deviation is σ = 4.9 pounds (based on data from "Comparison of the Atkins, Ornish, Weight Watchers, and Zone Diets for Weight Loss and Heart Disease Reduction," by Dansinger, et al., Journal of the American Medical Association, Vol. 293, No. 1). Use a 0.01 significance level to test the claim that the mean weight loss is greater than 0.

What are the null and alternate hypotheses?

What would be the result of a Type 1 error in this situation?

What would be the result of a Type 2 error? Express your answers in the context of the situation given.