Based on data from the National Health and Nutrition Examination Survey, assume that weights of men are
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Based on data from the National Health and Nutrition Examination Survey, assume that weights of men are normally distributed with a mean of 172 lb and a standard deviation of 29 lb.
a. Find the probability that if an individual man is randomly selected, his weight will be greater than 180 lb.
b. Find the probability that 20 randomly selected men will have a mean weight that is greater than 180 lb.
c. If 20 men have a mean weight greater than 180 lb, the total weight exceeds the 3500 lb safe capacity of a particular water taxi. Based on the preceding results, is this a safety concern? Why or why not?
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Sultan Ghulam Dastgir
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