Find the indicated z-score.
-Determine the two z-scores that separate the middle 96% of the distribution from the area in the tails of the standard normal distribution.
A) -1.75 and 1.75
B) 0 and 2.05
C) -2.05 and 2.05
D) -2.33 and 2.33

Question

Quizplus · Accepted Answer

The middle 96% of the distribution leaves 4% in the tails, with 2% in each tail. The z-scores that correspond to the cumulative area of 0.02 in the lower tail and 0.98 in the upper tail (since 0.02 + 0.96 = 0.98) are approximately -2.05 and 2.05, respectively.

Find the Indicated Z-Score