Random samples of size n were selected from populations with the
means and variances given here. Find the mean and standard
deviation of the sampling distribution of the sample mean in each
case. (Round your answers to four decimal places.)
(a) n = 25, μ = 12, σ2 = 9
μ =
σ =
(b) n = 100, μ = 3, σ2 = 4
μ =
σ =
(c) n = 10, μ = 124, σ2 = 1
μ =
σ =
Solution :
Given that,
(a)
= 12
= / n = 3 / 25 = 0.6
(b)
= 3
= / n = 2 / 100 = 0.2
(c)
= 124
= / n = 1 / 10 = 0.3162
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