Question

The serum cholesterol levels of a population of 12- to 14-year-olds follow a normal distribution with...


The serum cholesterol levels of a population of 12- to 14-year-olds follow a normal distribution with mean 162 mg/dl and standard deviation 28 mg/dl (as in Example 4.1.1).
(a) What percentage of the 12- to 14-year-olds have serum cholesterol values between 152 and 172 mg/dl?
(b) Suppose we were to choose at random from the population a large number of groups of nine 12- to 14-year-olds each. In what percentage of the groups would the group mean cholesterol value be between 152 and 172 mg/dl?

c) If Y represents the mean cholesterol value of a ran- dom sample of nine 12- to 14-year-olds from the pop- ulation, what is Pr{152 ... Y ... 172}?

From the Book Statistics for the life Sciences 4th edition Samuels, Witmer, Schaffner

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