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# Expected Value, Standard Error, Normal Distribution

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1. Briefly define each of the following:
a. Distribution of sample means
b. Expected value of M
c. Standard error of M

2. For a sample selected from a population with a mean of µ=50 and a standard deviation of s= 10:
a. What is expected value of M and the standard error of M for a sample of n = 4 scores?
b. What is the expected value of M and the standard error of M for a sample of n=25 scores

5. A population has a mean of µ=80 and a standard deviation of s=10.
c. How much error would you expect for a sample of n=100 scores?

16. A population forms a normal distribution with a mean of µ=75 and a standard deviation of s=20.
a. Sketch the distribution of sample means for samples of n=25 from this population.
b. What proportion of the sample means for n=25 have values less than 80? In other words, find p(M<80) for n=25.

21. A normal-shaped distribution has µ=80 and s=15.
a. Sketch the distribution of sample means for samples of n=25 scores from this population.
d. Compute the z-score for M=84 for a sample of n=25 scores. Is this sample mean in the middle 95% of the distribution?

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Questions on expected value, standard error, normal distribution have been answered.

##### Terms and Definitions for Statistics

This quiz covers basic terms and definitions of statistics.

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This quiz evaluates the students understanding of the measures of central tendency seen in statistics. This quiz is specifically designed to incorporate the measures of central tendency as they relate to psychological research.