Why is the point estimate found in part (c) a statistic?
Added by Jennifer S.
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A statistic is any numerical value calculated from a sample of data drawn from a population, used to estimate a population parameter. Show more…
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Key Concepts
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A single value that may refer to a parameter value is called a A. point estimate B. t statistic C. statistic D. interval estimate
Narayan H.
A statistic is an unbiased estimator of a parameter when (a) the statistic is calculated from a random sample. (b) in a single sample, the value of the statistic is equal to the value of the parameter. (c) in many samples, the values of the statistic are very close to the value of the parameter. (d) in many samples, the values of the statistic are centered at the value of the parameter. (e) in many samples, the distribution of the statistic has a shape that is approximately Normal.
Sampling Distributions
What Is a Sampling Distribution?
Four different statistics have been proposed as estimators of a population parameter. To investigate the behavior of these estimators, 500 random samples are selected from a known population, and each statistic is calculated for each sample. The true value of the population parameter is 75. The graphs below show the distribution of values for each statistic. Statistic A Statistic B Statistic C Statistic D (a) Which of the statistics appear to be unbiased estimators of the population parameter? How can you tell? (b) Which of statistics A or B would be a better estimator of the population parameter? Explain your choice. (c) Which of statistics C or D would be a better estimator of the population parameter? Explain your choice.
Thuc N.
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