A statistic is an unbiased estimator of a parameter when (a) the statistic is ca

Question

A statistic is an unbiased estimator of a parameter when (a) the statistic is calculated from a random sample. (b) in a single sample, the value of the statistic is equal to the value of the parameter. (o) in many samples, the values of the statistic are centered at the value of the parameter. (d) in many samples, the values of the statistic are very close to the value of the parameter. (E)in many samples, the distribution of the statistic has a shape that is approximately Normal 8. 9. Increasing the sample size of an opinion poll will

Explanation / Answer

Note : A statistic is said to be an unbiased estimate of a given parameter when the mean of the sampling distribution of that statistic can be shown to be equal to the parameter being estimated.

In more precise language we want the expected value of our statistic to equal the parameter. If this is the case, then we say that our statistic is an unbiased estimator of the parameter.

Option (b) in a single sample , the value of the statistics is equal to the value of parameter .

Related Questions

Navigate

• Browse (All)
• Browse A
• Subjects

---

---

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