A study of the health of teenagers plans to measure the blood cholesterol level
ID: 2959921 • Letter: A
Question
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 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 u.
(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.
Explanation / Answer
The larger the sample the more representative of the population. With a small sample you have a huge chance of error or bias. Take presidential voting for example, would your house hold be representative of the entire population of the United States? Chances are that you would vote similar. That's why large samples are chosen.
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