Question

Which of the following statements is NOT true?

A. We use the sampling distribution of means to compare the observed sample mean to the hypothesized population mean.
B. We use the sampling distribution of means to compare the mean and median of a population distribution.
C. The Central Limit Theorem tells us that the standard deviation of the sampling distribution is equal to the standard
deviation of the population.
D. The Central Limit Theorem tells us that the mean of the sampling distribution is equal to the mean of the population
divided by the square root of the sample size."

Answer 1

We use the sampling distribution of means to compare the mean and median of a population distribution. So the correct answer is Option B.

Step-by-step explanation:

The correct answer is B. We use the sampling distribution of means to compare the mean and median of a population distribution.

The sampling distribution of means is used to compare the observed sample mean to the hypothesized population mean (option A). The Central Limit Theorem tells us that the standard deviation of the sampling distribution is equal to the standard deviation of the population (option C). The Central Limit Theorem also tells us that the mean of the sampling distribution is equal to the mean of the population divided by the square root of the sample size (option D).