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OpenStax, Statistics §7.3 Using the Central Limit Theorem · Exercise 41 · Statistics · Sampling distributions

Using the Central Limit Theorem · Exercise 41

For each problem, wherever possible, provide graphs and use a calculator.

Men have an average weight of 172 pounds with a standard deviation of 29 pounds.

(a) Find the probability that 20 randomly selected men will have a sum weight greater than 3,600 pounds.
(b) If 20 men have a sum weight greater than 3,500 pounds, then their total weight exceeds the safety limits for water taxis. Based on (a), is this a safety concern? Explain.

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OpenStax, Statistics · §7.3 Using the Central Limit Theorem · Exercise 41

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