Is the symbol for which of the following?
a. Sample mean
b. Population mean
c. Population variance
d. Sample variance
ANS: A
Use of the terms statistic and parameter can be confusing because of the various populations referred to in statistical theory. A statistic (such as a mean, ) is a numerical value obtained from a sample. A parameter is a true (but unknown) numerical characteristic of a population. For example, is the population mean or arithmetic average. The mean of the sampling distribution (mean of samples' means) can also be shown to be equal to . Thus, a numerical value that is the mean ( ) of the sample is a statistic; a numerical value that is the mean of the population ( ) is a parameter.
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