Question

A sample of teens A study of the health of teenagers plans to measure the blood cholesterol levels of an SRS of $13$to $16$year-olds. The researchers will report the mean $\overline{x}$from their sample as an estimate of the mean cholesterol level $\mu$in this population. Explain to someone who knows little about statistics what it means to say that $\overline{x}$is an unbiased estimator of $\mu$.

Short answer

$\overline{x}$is an unbiased estimator of $\mu$if total of all conceivable mean values equals $\mu$

Step-by-step solution

Given Information

We need to explain how $\overline{x}$is an unbiased estimator of$\mu$.

Explanation

$\overline{x}$is an unbiased estimator of $\mu$if total of all conceivable$\overline{x}$is equal to$\mu$. $\overline{x}$isn't systematically higher or lower than; in other words, it doesn't have a strong propensity to underestimate or overestimate.