Question

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 =

Answer 1

103 (1) n = 16 H = |4, - mean = 14 Standard deviation (om) = on 3 176 4 -0.75 (6) 7.-100, p=9, rich - mean o Standard deviation (G). Ta o 102 (c) n=10, 4-119,0 mean = 118 Standard deviation(o) = m = Frio -4013162 2Q Size (a) Gniven =36, =57,5=12 Sample n=36(>), the Sameting distribution of it will be approximately recomally distributed for large comples Sampling dishibution of T is bell-shared. (b) Mean 는 Standard deviation (or) or Fun と V36