Which of the following statements about population and sampl

Which of the following statements about population and sample means is NOT true? a.The sample mean and the population mean could be equal, b. The sample mean and the population mean could be different because of sampling error, c. The sample mean and the population mean will never be equal because of sampling error, d. The sample mean can be used to estimate the population mean.

Solution

Which of the following statements about population and sample means is NOT true?

a.The sample mean and the population mean could be equal,

b. The sample mean and the population mean could be different because of sampling error,

c. The sample mean and the population mean will never be equal because of sampling error,

d. The sample mean can be used to estimate the population mean.

The answer is C

As sample size increases, the variation in the sample means decreases.

With large numbers of random samples, the mean of the sampling distribution is equal to the population mean (µ).