# Purchase Solved PSYC 354 Quiz 6

## Purchase Solved 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 √(
*σ*2/*n*). - Samples of
*n*= 9 scores are selected from a normal population. If the distribution of sample means has an expected value of μ*M*= 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?

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