Which of the following statements is correct?
A)The sample mean is an unbiased estimator of the population mean.
B)The sample proportion is an unbiased estimator of the population proportion.
C)The difference between two sample means is an unbiased estimator of the difference between two population means.
D)All of these choices are true.

Question

Quizplus · Accepted Answer

All three statements are true. The sample mean is an unbiased estimator of the population mean because it is calculated from a sample without any systematic deviation. The sample proportion is an unbiased estimator of the population proportion because it estimates the proportion of success or failure without any systematic deviation. The difference between two sample means is an unbiased estimator of the difference between two population means because the difference in means is calculated from two independent samples that were taken randomly without any systematic deviation.

Which of the Following Statements Is Correct