A government sample survey plans to measure the blood cholesterol level of an SR

Question

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.

a/ x is systematically higher than or lower than . b/ x is not systematically higher than or lower than .

Explanation / Answer

A government sample survey plans to measure the blood cholesterol level of an SR

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