Suppose that we will take a random sample of size n from a population having mean µ and standard deviation σ. For each of the following situations, find the mean, variance, and standard deviation of the sampling distribution of the sample mean :
(a) µ = 20, σ = 2, n = 41
(Round your answers of "σ" and "σ^{2}" to 4 decimal
places.)
µ | |
σ^{2} | |
σ | |
(b) µ = 502, σ = .7, n = 132
(Round your answers of "σ" and "σ^{2}" to 4 decimal
places.)
µ | |
σ^{2} | |
σ | |
(c) µ = 3, σ = 1.0, n = 7
(Round your answers of "σ" and
"σ^{2}" to 4 decimal places.)
µ | |
σ^{2} | |
σ | |
(d) µ = 120, σ = 3, n = 1,722
(Round your answers of "σ" and "σ^{2}" to 4 decimal
places.)
µ | |
σ^{2} | |
σ | |
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