A random sample of n=100 observations is selected - 94923

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A random sample of n=100 observations is selected from a population with µ=30 and o=22. Approximate the probabilities shown below. a. P(x? ?28) b. P(22.1? x? ? 26.8) c. P(x?? 28.2) d. P(x?? 27.0)
Solution Description

μ = 30, σ = 22, n = 100

(a) x-bar =  28

z = (x-bar - μ)/(σ/Ön) =  (28 – 30)/(22/√100) = -0.909

P(x-bar &