# Question

A random sample of n = 100 observations is selected from a population with μ = 30 and σ = 16.

a. Find μx-bar and σx-bar.

b. Describe the shape of the sampling distribution of x-bar.

c. Find P(x-bar ≥ 28).

d. Find P(22.1 ≤ x-bar ≤ 26.8).

e. Find P(x-bar ≤ 28.2).

f. Find P(x-bar ≤ 27.0).

a. Find μx-bar and σx-bar.

b. Describe the shape of the sampling distribution of x-bar.

c. Find P(x-bar ≥ 28).

d. Find P(22.1 ≤ x-bar ≤ 26.8).

e. Find P(x-bar ≤ 28.2).

f. Find P(x-bar ≤ 27.0).

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