A researcher selects a sample of 49 participants from a population with a mean of 12 and a standard deviation of 3.5.What is the probability of selecting a sample mean that is at least equal to the population mean?
A).50
B)equal to the probability of selecting a sample mean that is at most equal to the population mean
C)both A and B
D)none of the above

Question

Quizplus · Accepted Answer

The Central Limit Theorem states that the sampling distribution of the sample mean will be normally distributed with the same mean as the population mean. Therefore, the probability of selecting a sample mean that is at least equal to the population mean is 50%, which is equal to the probability of selecting a sample mean that is at most equal to the population mean.

A Researcher Selects a Sample of 49 Participants from a Population