Question:

1. A study of the health of teenagers plans to measure the blood cholesterol level of an SRS of youth of ages 13 to 16 years. The researchers will report the mean \(\bar{X}\) from their sample as an estimate of the mean cholesterol level in this population.

1. Explain to someone who is not familiar with statistics what it means to say that x is an unbiased estimator of \(\mu \) .
2. The sample result x is an unbiased estimator of the population truth u no matter what size SRS the study chooses. Explain to someone who is not familiar with statistics why a large sample gives more trustworthy results than a small sample.

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