The mean value of land and buildings per acre for farms in Illinois is $6700. A random

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The mean value of land and buildings per acre for farms in Illinois is $6700. A random sample of 36 Illinois farms is selected. What is the probability that the mean value of land and buildings per acre for the sample is

(a) Less than $7200,

(b) More than $6500, and

(c) Between $7000 and $7400?

Assume σ = $1250.

Find the indicated probabilities and interpret the results. If convenient, use technology to find the probabilities.

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