Math  /  Data & Statistics

QuestionAn NHANES report gives data for 936 men aged 20-29 years. The BMI of these 936 men was xˉ=27.2\bar{x}=27.2. On the basis of this sample, we want to estimate the BMI μ\mu in the population of all 23.2 million American men in this age group. To match the "simple conditions," we will treat the NHANES sample as an SRS from a Normal population with standard deviation σ=11.6\sigma=11.6. Healdh Statistics 3(2016), at hutps/lwww.cdegov/nchs/data/ series/sr_03/sr03_039.pdf.
What are the margins of errors for 90%,95%90 \%, 95 \%, and 99%99 \% confidence? Give your answers to four decimal places.

Studdy Solution
The margins of error are approximately **0.6255** for 90% confidence, **0.7452** for 95% confidence, and **0.9794** for 99% confidence.

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