PSYC 354 Quiz 6

PSYC 354 Quiz 6: The Distribution of Sample Means

1. Standard error allows sampling error to be defined and measured.
2. Which symbol is used to identify the standard error of M?
3. The standard error equation can be rewritten to √(σ2/n).
4. Samples of n = 9 scores are selected from a normal population. If the distribution of sample means has an expected value of μM = 40, then the population has a mean of μ = 40.
5. Consider that a researcher is attempting to reduce the expected distance between M and μ as much as possible when conducting a research study. One thing they can do is
6. Which statement below is not consistent with the distribution of sample means.
7. Under which circumstance will the distribution of sample means be normal?
8. Which is the expected value of M?
9. The mean of all the sample means obtained from all random samples of a certain sample size in a sampling distribution is an example of a biased statistic.
10. If random samples, each with n = 16 scores, are selected from a normal population with μ = 100 and σ = 20, how much difference, on average, should there be between a sample mean and the population mean?
11. A sample of n = 49 scores is selected from a normal population with a mean of μ = 60 and a standard deviation of σ = 12. The probability that the sample mean will be greater than M = 63 is equal to the probability of obtaining a z– score greater than z = +1.75
12. A sample of n = 100 scores is selected from a normal population with μ = 75 and σ = 11. The probability of obtaining a sample mean greater than M = 78 is p = 0.0032.
13. For a normally distributed population with a mean of μ = 70 and a standard deviation of σ = 10, what is the probability of obtaining a sample mean greater than M = 67 for a sample of n = 64 scores?
14. A sample of n = 64 scores is selected from a population with μ
    = 80 with σ = 24. On average, how much error is expected between the sample mean and the population mean?
15. A random sample of n = 16 scores is obtained from a normal population with a mean of μ = 100 and a standard deviation of σ = 12. If the sample mean
    is M = 104, what is the z-score for the sample mean?