A population has a mean of µ = 80 with s = 20. a. If a single score is randomly

Question

A population has a mean of µ = 80 with s = 20.

a. If a single score is randomly selected from this population, how much distance, on average, should you find between the score and the population mean?

b. If a sample of n = 4 scores is randomly selected from this population, how much distance, on average, should you find between the sample mean and the population mean?

c. If a sample of n = 100 scores is randomly selected from this population, how much distance, on average, should you find between the sample mean and the population mean?

Explanation / Answer

sample mean is 80 and s=20

a) z=(x-80)/20 if the score selected is x

b) z=(x-80)/(20/sqrt(4)) or (x-80)/10

c) z=(x-80)/(20/sqrt(100)) or (x=80)/2

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