Which of the following statements are true? a. |A point estimate of a population
ID: 3356725 • Letter: W
Question
Which of the following statements are true? a. |A point estimate of a population parameter q is a single number that can be regarded as a sensible value of q b. A point estimate of a population parameter q is obtained by selecting a suitable statistic and computing its value from the given sample data. The selected statistic is called the point estimator ofq c The sample mean d. The sample variance S is a point estimator of the population variance e. All of the above statements are true is a point estimator of the population mean m. s?Explanation / Answer
(e) All of the above statements are true.
By a point estimator, we mean a single point which is used as a representative of the population parameter. The numerical value of the estimator is called estimate. In choosing a point estimator, first we choose a suitable statistic and compute its value from the given sample data and use it as a representative of the population parameter. we know that the sample mean is a point estimator(unbiased) of the population mean as well the sample variance is a point estimator of the population variance.
Hence, all the above statements are correct.
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