1. The sampling distribution of the mean is A. The standard deviation of sample

Question

1. The sampling distribution of the mean is

A. The standard deviation of sample means.

B. A plot of individual scores drawn from a sample mean

C. The average of all sample means.

D. A plot of sample means drawn from a population.

2. Maria draws successive random samples of nine (9) participants from a population, calculates the mean of each sample, and plots the sample means. If the population has a mean of 12 and a standard deviation of 6, the standard deviation of her sample means

A. is 4.

B. is 2.

C. cannot be determined

D. is 3.

3. The central limit theorem tells us that as sample size becomes large (n>30), the sampling distribution of the mean becomes

A. negatively skewed.

B. positively skewed.

C. normally distributed with a larger range of scores than the population.

D. normally distributed with a smaller range of scores than the population.

4. The central limit theorem states that the mean of the sampling distribution of the mean is equal to the population

A. mean

B. standard deviation divided by the square root of N.

C. standard deviation.

D. mean divided by the population standard deviation.

5. Another name for the standard deviation of a distribution of means is the standard error of the mean.

A. True

B. False

6. The value of the standard deviation of the sampling distribution of the mean is always greater than the standard deviation of the population.

A. True

B. False

Explanation / Answer

1. The sampling distribution of the mean is

D. A plot of sample means drawn from a population.

2)the standard deviation of her sample means =6/(9)1/2 =2

3)3. The central limit theorem tells us that as sample size becomes large (n>30), the sampling distribution of the mean becomes

D. normally distributed with a smaller range of scores than the population.

4)4. The central limit theorem states that the mean of the sampling distribution of the mean is equal to the population A. mean

5)

5. Another name for the standard deviation of a distribution of means is the standard error of the mean.

A. True

6. The value of the standard deviation of the sampling distribution of the mean is always greater than the standard deviation of the population.

B. False

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