The mean of the squared deviations of sample values from their mean is an upward

Question

The mean of the squared deviations of sample values from their mean is an upward-biased estimator of the population variance, a downward-biased estimator of the population variance, an unbiased estimator of the population variance, either (a) or (b), depending on sample size. In order to calculate a large-sample interval estimate of the population mean, it is nee the following? A sample mean. A standard normal deviate. The two preceding values as well as the standard error of the estimator. None of the above. The process of statistical estimation is also called forecasting. should never be confused with forecasting. seeks to make statements about parameters of future populations. is correctly described by (a) and (c) above.

Explanation / Answer

The mean of the squared deviations of sample values from the mean is either an upward biased estimator or a downward biased estimator depending on the sample size.

Thus the answer is d.

S=standard deviation

Thus if E(S)= (n-1)^2, then only it becomes an unbiased estimator of population variance.

When there are N data values then the population variance s obtained by dividing by N.

Related Questions

Navigate

• Browse (All)
• Browse T
• Subjects

---

---

Integrity-first tutoring: explanations and feedback only — we do not complete graded work. Learn more.