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%