1. What is unbiased estimator? What is a biased estimator?
2. What is a sampling distribution of the mean? How is a sampling distribution of the mean
different from a frequency distribution?
3. What is the central limit theorem?
4. According to the central limit theorem, what is the relationship between the sampling
distribution of the mean and the normal distribution?
5. What is sampling error? How can we represent the amount of sampling error that is present in a
statistic?
6. Distinguish a standard error of the mean from a standard deviation of a set of raw scores.
7. What two factors influence the size of the standard error of the mean?
8. If a sampling distribution of the mean has an associated standard error of the mean of 0, what
does this indicate about the variability of scores in the population (
!
)?
9. Compute the variance and the standard deviation for the following scores:
2, 3, 3, 4 ,4, 4, 5, 5, 5, 5, 6, 6, 6, 7, 7, 8
Estimate the variance and the standard deviation in the population, and compare the two sets of
results.
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10.Compute the mean and the estimated standard error of the mean for the data in Exercise 9.
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 Spring '10
 DAMARE
 Normal Distribution, Standard Deviation, Standard Error, Mean

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