A random sample of size n = 186 is taken from a population of size N = 5,613 with mean μ = −65 and variance σ^{2} = 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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