Assume that $z$ scores are normally distributed with a mean of 0 and a standard deviation of 1 . If $P ( - a

Question

Assume that $z$ scores are normally distributed with a mean of 0 and a standard deviation of 1 . If $P ( - a < z < a ) =$ $0.4314$, find $a$.
A) $1.49$
B) $0.3328$
C) $0.57$
D) $- 0.18$

Quizplus · Accepted Answer

The probability $P(-a < z < a) = 0.4314$ corresponds to the area under the standard normal curve between $-a$ and $a$. Using the standard normal distribution table or a calculator, we find that $a = 0.57$ gives this probability.

Assume That zzz Scores Are Normally Distributed with a Mean of 0 and of 0

Assume That $z$ Scores Are Normally Distributed with a Mean of 0 and of 0