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9 Sample Size and Margin of Error Example 16 1 page 377 described NHANES survey...

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9 Sample Size and Margin of Error Example 16 1 page 377 described NHANES survey data on the body mass index BMI of 654 young women The mean BMI in the sample was x 26 8 We treated these data as an SRS from a Normally distributed population with standard deviation o 7 5 1 a Suppose that we had an SRS of just 100 young women What would be the margin of error for 95 confidence b Find the margins of error for 95 confidence based on SRSS of 400 young women and 1600 young women c Compare the three margins of error How does increasing the sample size change the margin of error of a confidence interval when the confidence level and population standard deviation remain the same

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