Find the indicated z-score.
-Determine the two z-scores that separate the middle 87.4% of the distribution from the area in the tails of the standard normal distribution.
A) -1.53, 1.53
B) -1.45, 1.45
C) -1.39, 1.39
D) -1.46, 1.46

Question

Quizplus · Accepted Answer

The middle 87.4% of the distribution leaves 12.6% in the tails, which is divided equally into two tails of 6.3% each. Looking up 6.3% in the z-table or using a calculator to find the z-score that corresponds to the cumulative area of 0.937 (since 0.063 + 0.874 = 0.937) gives a z-score of approximately ±1.53.

Find the Indicated Z-Score