1. A sample is selected from a population with a mean of µ = 40 and a standard deviation of σ = 8. If the sample has n=4 scores, what is the standard error of M?

a. 1

b. 2

c. 3

d. 4

2. A sample is selected from a population with a mean of µ = 40 and a standard deviation of σ = 8 (same as question 1 above). If the sample has n=16 scores, what is the standard error of M?

a. 1

b. 2

c. 3

d. 4

3. As the sample size increases, the standard error of M ______.

a. Increases

b. Decreases

4. For a population with a mean of µ = 80 and a standard deviation of σ = 12, find the z-score corresponding to a M=83 for a sample with 4 scores.

a. 0

b. .5

c. 1

d. 1.5

5. For a population with a mean of µ = 80 and a standard deviation of σ = 12, find the z-score corresponding to a M=83 for a sample with 36 scores.

a. 0

b. .5

c. 1

d. 1.5

6. The scores on a standardized mathematics test for 8th grade children in New York State form a normal distribution with a mean of µ = 70 and a standard deviation of σ = 10. If samples of n=4 are selected from the population, what proportion of the samples will have means more than M = 75?

a. 15.87%

b. 20.87%

c. 25.87%

d. 30.87%

7. The scores on a standardized mathematics test for 8th grade children in New York State form a normal distribution with a mean of µ = 70 and a standard deviation of σ = 10. If samples of n=25 are selected from the population, what proportion of the samples will have means more than M = 75?

a. 0.01%

b. 0.62%

c. 1.01%

d. 1.62%