Can you apply the central limit theorem to describe the


1. Smoking, 2008. Public health statistics indicate that 20.6% of American adults smoke cigarettes. Using the 68-95-99.7 Rule, describe the sampling distribution modelfor the proportion of smokers among a randomly selected group of 50 adults. Be sure to discuss your assumptions and conditions.

2. Vision. It is generally believed that nearsightedness affects about 12% of all children. A school district has registered 170 incoming kindergarten children.

a) Can you apply the Central Limit Theorem to describe the sampling distribution model for the sample proportion of children who are nearsighted? Check the conditions and discuss any assumptions you need to make.

b) Sketch and clearly label the sampling model, based on the 68-95-99.7 Rule.

c) How many of the incoming students might the school expect to be nearsighted? Explain.

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Basic Statistics: Can you apply the central limit theorem to describe the
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