If a sample mean is different from a particular population µ,we can conclude that the sample mean probably represents some other population or that
A)the sample mean does not represent the sample statistic.
B)an error was made in calculating the sample mean.
C)an error was made in calculating standard error.
D)the sample mean occurred as a result of sampling error.

Question

Quizplus · Accepted Answer

If the sample mean is different from a particular population µ, it is likely due to sampling error or chance. This means that the sample mean may not be a precise estimate of the population mean, but reflects the variability inherent in drawing a sample from the population. Therefore, we can conclude that the sample mean occurred as a result of sampling error. Options A, B, and C are incorrect as they do not accurately explain why the sample mean differs from the population mean.

If a Sample Mean Is Different from a Particular Population