Question

Find the z-scores that delineate the middle 96% of all values from the others. enter your answers to 2 or 3 decimal places. from to

Answer 1

The z-score that delineates the middle 96% of all vallues from others is obtained as follows.

$100(1-\alpha)\%=96\% \\ \\ 1-\alpha=0.96 \\ \\ \alpha=1-0.96=0.04 \\ \\ \alpha/2=0.04\2=0.02 \\ \\ z_{0.02}=2.054$

Therefore, the z-scores that delineate the middle 96% of all values from the others is 2.05