Given a normal random variable x with mean of 70 and standard deviation of 12, the value of the standard normal random variable z associated with x = 82 is larger than zero.

Question

Quizplus · Accepted Answer

To find the value of the standard normal random variable z, we use the formula:

z = (x - μ) / σ

where μ is the mean and σ is the standard deviation of the normal random variable x.

Plugging in the given values, we get:

z = (82 - 70) / 12
z = 1

Since 1 is larger than zero, the answer is A (True).

Given a Normal Random Variable X with Mean of 70