Question

he distribution of male weight in the United States has a standard deviation of roughly s...

he distribution of male weight in the United States has a standard deviation of roughly s =

25 lbs. The average weight μ varies from state to state. Suppose you randomly select 100 males

In Texas and ask their weights, and you compute the average weight ?# 2222 of the n = 100 males.

a) Assuming that the standard deviation of weight in Texas is 25 lbs, what does the Central

Limit Theorem tell you the (approximate) distribution of ?# 2222 will be?

b) Use your answer to (a) to calculate the probability that ?# 2222 is within 5 pounds of the true

average weight μ for Texas.

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