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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?

Glencoe Algebra 1, Student Edition, 9780079039897, 0079039898, 2018
Glencoe Algebra 1, Student Edition, 9780079039897, 0079039898, 2018
18th Edition
ISBN:9780079039897
Author:Carter
Publisher:Carter
Chapter10: Statistics
Section10.3: Measures Of Spread
Problem 1GP
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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?
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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