PSYC 354 Quiz 6
PSYC 354 Quiz 6: The Distribution of Sample Means
- Standard error allows sampling error to be defined and measured.
- Which symbol is used to identify the standard error of M?
- The standard error equation can be rewritten to √(σ2/n).
- 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.
- 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
- Which statement below is not consistent with the distribution of sample means.
- Under which circumstance will the distribution of sample means be normal?
- Which is the expected value of M?
- 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.
- 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?
- 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
- 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.
- 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?
- 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? - 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?