A simple random sample of size n = 64 is obtained from a population with =

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A simple random sample of size n = 64 is obtained from a population with μ = 83 and σ = 32.

(a) Describe the sampling distribution of x̅.

(b) What is P(x̅ > 88.6)?

(c) What is P(x̅ ≤ 74)?

(d) What is P(79.6 < x̅ < 91)?

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