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Serum Cholesterol Assignment

Author:
February 21st, 2020

5.2.4 The serum cholesterol levels of a population of 12-to 14-year-olds follow a normal

distribution with mean 155 mg/dl and standard deviation 27 mg/dl

(a)

What percentage of the 12- to 14-year-olds have serum cholesterol values

between 145 and 165 mg/dl?

(b)

Suppose we were to choose at random from the population a large number of

groups of nine 12- to14-year-olds each. In what percentage of the groups

would the group mean cholesterol value be between 145 and 165?

(c)

If ̅ represents the mean cholesterol value of a random sample of nine

12- to 14-year-ols form the population, what is Pr⁡ 145 ≤ ̅ ≤ 165]?

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