Find th critical for the middle 50%. Don't unstandardize.

Find th critical for the middle 50%. Don't unstandardize.

Question
Math Word Problem
asked 2021-01-15
Find th critical for the middle 50%. Don't unstandardize.

Answers (1)

2021-01-16
\(\displaystyle\mu={53.9}\)
\(\displaystyle\sigma={28.5}\)
proportion= 0.5000
proportion left 0.5000 is equally distributed both left and right side of normal curve
z value at \(\displaystyle{0.25}=\pm{0.674}{\left(\frac{{0.50}}{{2}}\right)}\)
\(\displaystyle{z}=\frac{{{x}-\mu}}{\sigma}\)
so, \(\displaystyle{X}={z}\sigma+\mu=\)
\(\displaystyle{X}{1}=-{0.674}\cdot{28.5}+{53.9}={34.68}\)
\(\displaystyle{X}{2}={0.674}\cdot{28.5}+{53.9}={73.12}\)
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