Which one of the following four statements is incorrect in estimation? 1. The sample mean is an unbiased estimator of the population mean. 2. The sample variance is an unbiased estimator of the population variance. 3. The population mean is an unbiased estimator of the sample mean. 4. The sample variance multiplied by (n – 1)/n, where “n” denotes a finite sample size, is a biased estimator of the population variance.

Glencoe Algebra 1, Student Edition, 9780079039897, 0079039898, 2018
18th Edition
ISBN:9780079039897
Author:Carter
Publisher:Carter
Chapter10: Statistics
Section10.4: Distributions Of Data
Problem 19PFA
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Which one of the following four statements is incorrect in estimation?

1. The sample mean is an unbiased estimator of the population mean.
2. The sample variance is an unbiased estimator of the population variance.
3. The population mean is an unbiased estimator of the sample mean.
4. The sample variance multiplied by (n – 1)/n, where “n” denotes a finite sample size, is a biased estimator of the population variance.
 
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