Question

Find the $Z$ -scores that separate the middle $70 \%$ of the distribution from the area in the tails of the standard normal distribution. Find the $Z$ -scores that separate the middle $99 \%$ of the distribution from the area in the tails of the standard normal distribution.

          Find the $Z$ -scores that separate the middle $70 \%$ of the distribution from the area in the tails of the standard normal distribution.
Find the $Z$ -scores that separate the middle $99 \%$ of the distribution from the area in the tails of the standard normal distribution.

Added by Stephen S.

Elementary Statistics a Step by Step Approach

Allan G. Bluman 9th Edition

Instant Answer

Solved by Expert Joshua Argo

11/02/2022

Step 1

Since 70% is in the middle, 15% will be in each tail. Using the inverse normal function: - For the left tail, $x = \text{invNorm}(0.15, 0, 1) \approx -1.03643$ - For the right tail, $y = \text{invNorm}(0.85, 0, 1) \approx 1.03643$ Show more…

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Find the $Z$ -scores that separate the middle $70 \%$ of the distribution from the area in the tails of the standard normal distribution. Find the $Z$ -scores that separate the middle $99 \%$ of the distribution from the area in the tails of the standard normal distribution.