Question

Which of the following is NOT true of the sample variance when the samples are independent and normally distributed?
it decreases as the number of sample values increases it is an unbiased point estimate of the population variance
it has a normal sampling distribution it remains constant as the number of sample values increases
it has a skewed sampling distribution

Answer 1

Option C, which states that the sample variance is constant as the number of sample values rises when the samples are independent and regularly distributed

Each sampling distribution's variability declines as the sample size go up, becoming more and more leptokurtic. The sample distribution's range is less than the original population's range.

The margin of error & sample size has an inverse relationship, meaning that as sample size rises, sampling error falls. It is because the findings would be more accurate the more evidence you had.

The distribution's dispersion is gauged by the standard error. The dispersion decreases as the sample size increases and the distribution's mean moves closer to the population mean.

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