Which of the following statistic is an unbiased estimator of population variance σ2 ? (Considering s2 &nbsp;and n as sample variance and size, respectively).(n−1)ns21ns2nn−1s2s2

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Which of the following statistic is an unbiased estimator of population variance σ2 ? (Considering s2 &amp;nbsp;and n as sample variance and size, respectively).(n−1)ns21ns2nn−1s2s2

Andre BalkonE · Accepted Answer

To determine which of the following statistics is an unbiased estimator of population variance σ², let&#039;s examine each option.1. (n−1)ns2:The term n represents the sample size, and s2 represents the sample variance. However, the presence of both n and s2 in the numerator makes this expression different from the unbiased estimator of population variance. Therefore, (n−1)ns2 is not the correct choice.2. 1ns2:In this expression, 1n is the reciprocal of the sample size, and s2 represents the sample variance. This expression does not match the standard formula for an unbiased estimator of population variance. Thus, 1ns2 is not the correct choice.3. nn−1s2:This expression includes the sample size n, the sample variance s2, and the term nn−1. The correct unbiased estimator of population variance is obtained by multiplying the sample variance by nn−1. Hence, nn−1s2 is the correct choice.4. s2:The sample variance s2 itself is not an unbiased estimator of population variance. It is a biased estimator since it underestimates the true population variance. Therefore, s2 is not the correct choice.Considering the options provided, the statistic that serves as an unbiased estimator of population variance σ² is nn−1s2.

Store	Original Price of Aquarium ($)
Pets Plus	118
Pet Planet	110

Which of the following statistic is an unbiased

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