1) 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 = 16, μ = 14, σ2 =
9
μ=σ=
(b)
n = 100, μ = 9, σ2 =
4
μ=σ=
(c)
n = 10, μ = 118, σ2 =
1
μ=σ=
3) A random sample of
size n = 36 is selected from a
population with mean μ = 57 and
standard deviation σ = 12.
(a) What will be the approximate shape of the sampling
distribution of x?
symmetric,
normal,
or skewed
(b) What will be the mean and standard deviation of the sampling
distribution of x?
mean =
standard deviation =