Example 6.37 Suppose that we know from large stud- ies that the mean cholesterol level in children ages 2-14 is 175 mg/dL. We wish to see if there is a familial aggrega- tion of cholesterol levels. Specifically, we identifiy a group of fathers who have had a heart attack and have elevated cholesterol levels (≥ 250mg/dL) and measure the choles- terol levels of their 2- to 14-year-old offspring. Suppose we find that the mean cholesterol level in a group of 100 such children is 207.3 mg/dL with standard deviation 30 mg/dL. Is this value far enough 175 mg/dL for us to believe that the underlying mean cholesterol level in the population of all children selected in this way is different from 175 mg/dL?
Example 6.37 Suppose that we know from large stud- ies that the mean cholesterol level in children ages 2-14 is 175 mg/dL. We wish to see if there is a familial aggrega- tion of cholesterol levels. Specifically, we identifiy a group of fathers who have had a heart attack and have elevated cholesterol levels (≥ 250mg/dL) and measure the choles- terol levels of their 2- to 14-year-old offspring. Suppose we find that the mean cholesterol level in a group of 100 such children is 207.3 mg/dL with standard deviation 30 mg/dL. Is this value far enough 175 mg/dL for us to believe that the underlying mean cholesterol level in the population of all children selected in this way is different from 175 mg/dL?
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Author:Amos Gilat
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Transcribed Image Text:Example 6.37 Suppose that we know from large stud-
ies that the mean cholesterol level in children ages 2-14 is
175 mg/dL. We wish to see if there is a familial aggrega-
tion of cholesterol levels. Specifically, we identifiy a group
of fathers who have had a heart attack and have elevated
cholesterol levels (≥ 250mg/dL) and measure the choles-
terol levels of their 2- to 14-year-old offspring. Suppose we
find that the mean cholesterol level in a group of 100 such
children is 207.3 mg/dL with standard deviation 30 mg/dL.
Is this value far enough 175 mg/dL for us to believe that the
underlying mean cholesterol level in the population of all
children selected in this way is different from 175 mg/dL?
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