Which of the following statements are true? O A point estimate of a population p

Question

Which of the following statements are true? O A point estimate of a population parameter (theta) is obtained by selecting a suitable statistic and computing its value from the given sample data. The selected statistic is called the point estimator of (theta). O The sample mean is a point estimator of the population mean O A point estimate of a population parameter (theta) is a single number that can be regarded as a sensible value of (theta). O The sample variance is a point estimator of the population variance. O All of the statements listed are true.

Explanation / Answer

Ans:

All of the statements listed are true.

A statistic is an estimator of some parameter in a population.

The sample standard deviation (s) is apoint estimate of the population standard deviation (?).

The sample mean (?x) is a point estimate of thepopulation mean, ? .

The sample variance (s2 is a point estimate of the population variance(?2).

A point estimate of a parameter is a single number that can be regarded as a sensible value for .

A point estimate is obtained by selecting a suitable statistic and computing its value from the given sample data.

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