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Question

# Find two $z$ values so that $48\%$ of the middle area is bounded by them.

Solution

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Note that the $z$ table gives the area under the normal curve to the left of $z$.

Let $z_1$ and $z_2$ be the two $z$ values such that the area between them in the middle of the normal curve is $48\%$. That is, the area is $0.48$ as shown in the figure.

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Note the area on each side of $0$ is $0.24$

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