Answer
149.9
Work Step by Step
Given $\sigma^2=250$, we have $\sigma=15.8$
Using the z=score formula, we have:
$\frac{142-\bar x}{15.8}=-0.5, \bar x=149.9$
$\frac{165-\bar x}{15.8}=0.955, \bar x=149.9$
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