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A random sample of size n = 186 is taken from a population of size N...

A random sample of size n = 186 is taken from a population of size N = 5,613 with mean μ = −65 and variance σ2 = 183. [You may find it useful to reference the z table.]

a-1. Is it necessary to apply the finite population correction factor?

  • Yes

  • No


a-2. Calculate the expected value and the standard error of the sample mean. (Negative values should be indicated by a minus sign. Round "standard error" to 2 decimal places.)
Expected Value:

Standard Error:


b. What is the probability that the sample mean is between −67 and −63? (Round “z” value to 2 decimal places, and final answer to 4 decimal places.)

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