A government sample survey plans to measure the blood choles

A government sample survey plans to measure the blood cholesterol level of an SRS of men aged 20 to 34. The researchers will report the mean x¯ from their sample as an estimate of the mean cholesterol level in this population.

Step 1:

Explain to someone who knows no statistics what it means to say that x¯ is an unbiased estimator of .

Step 2:
The sample result x¯ is an unbiased estimator of the population truth no matter what size SRS the study uses. Explain to someone who knows no statistics why a large sample gives more trustworthy results than a small sample.

Solution