Question: A random sample of n = 100 observations is selected from a population with = 30 and = 16. a. Find x-bar and

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).

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