An NHANES report gives data for 642 men aged 20-29 years. The BMI of these 642 men was xˉ=26.6 \bar{x} = 26.6 xˉ=26.6. On the basis of this sample, we want to estimate the BMI μ \mu μ 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=7.9 \sigma = 7.9 σ=7.9.
What are the margins of errors for 90%, 95%, and 99% confidence? Give your answers to four decimal places.
margin of error for a 90% confidence interval:
margin of error for a 95% confidence interval: