Suppose a simple random sample of size 50 is selected from a population with σ=10. Find the value of the standard error of the mean in each of the following cases (use the finite population correct factor if appropriate).

a. The population size is infinite. Please provide the formula, at least one step of calculation, and the correct answer for full credit.

b. The population size is N = 50,000. Please provide the formula, at least one step of calculation, and the correct answer for full credit.

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c. The population size is N = 500. Please provide the formula, at least one step of calculation, and the correct answer for full credit.

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