Question: 14.4 Confidence level and margin of error. Example 13.1 (page 232) described NHANES survey data on the body mass index (BMl) of 654 young women.

14.4 Confidence level and margin of error. Example 13.1 (page 232) described NHANES survey data on the body mass index (BMl) of 654 young women. The mean BMl in the sample was x = 26.8. We treated these data as an SRS from a Normally distributed population with standard deviation a = 7.5.

(a) Give three confidence intervals for the mean BMl jj. in this population, using 90%, 95%, and 99% confidence.

(b) What are the margins of error for 90%, 95%, and 99% confidence? How does in creasing the confidence level change the margin of error of a confidence interval when the sample size and population standard deviation remain the same?

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