Cholesterol levels of teenagers. A study of the health of

Chapter , Problem 5.21

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Cholesterol levels of teenagers. A study of the health of teenagers plans to measure the blood cholesterol level of an SRS of 13- to 16-year-olds. The researchers will report the mean x from their sample as an estimate of the mean cholesterol level m in this population. (a) Explain to someone who knows no statistics what it means to say that x is an unbiased estimator of m. (b) The sample result x is an unbiased estimator of the population truth m no matter what size SRS the study chooses. Explain to someone who knows no statistics why a large sample gives more trustworthy results than a small sample.

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