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A sample is selected from a population with a mean of mu = 65 and a standard deviation of sigma = 15. A. If the sample has n = 9 scores , what is the expected value of M and the standard error of M? b. If the sample has n = 25 scores, what is the expected value of M and the standard error of M

Sagot :

1) The Expected value of M and the standard error of M are respectively; 65 and 5.

2) The Expected value of M and the standard error of M are respectively; 65 and 3.

What is the expected value of M?

1) We are given;

Population Mean; μ = 65

Population standard deviation; σ = 15

Sample size; n = 9

Formula for standard error is;

SE = σ/√n

SE = 15/√9

SE = 15/3

SE = 5

Expected value of M = μ = 65.

2) We are given;

Population Mean; μ = 65

Population standard deviation; σ = 15

Sample size; n = 25

Formula for standard error of M is;

SE = σ/√n

SE = 15/√25

SE = 15/5

SE = 3

Expected value of M = μ = 65

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