Given a normal random variable x with mean of 82 and standard deviation of 12, the value of the standard normal random variable z associated with x = 70 is smaller than 0.

Question

Quizplus · Accepted Answer

To find the value of the standard normal random variable z associated with x = 70, we use the formula z = (x - mean) / standard deviation. Plugging in the values, we get z = (70 - 82) / 12 = -1. So the value of z is negative, indicating that it is smaller than 0. Therefore, the statement is true.

Given a Normal Random Variable X with Mean of 82