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An analyst working for a large investment firm is evaluating the performance of various investment funds as part of a report to the firm's portfolio managers. One component of the evaluation is the assessment of the statistical moments of the entire population of fund returns. Since the analyst has access to a very large dataset of historical returns, the analyst decides to estimate sample moments such as the sample mean return, sample variance, and sample skewness using a smaller subset of historical returns data. Which of the following would be correct for the analyst to conclude about the sample variance?
A
An unbiased estimator cannot be constructed for the sample variance.
B
The sample variance is biased when it is formulated as a function of the population size decreased by 1.
C
The sample variance slightly underestimates the population variance.
D
The sample variance diverges from the population variance as the size of the sample increases.