Suppose the population of all public Universities shows the annual parking fee per student is normally distributed with a mean of $110 with a standard deviation of $18.If a random sample of size 49 is drawn from the population, the probability of drawing a sample with a mean of less than $92 is _______.
A)0.3400
B)0.1600
C)0.0000
D)1.0000
E)0.7000

Question

Quizplus · Accepted Answer

The standard error of the mean is $18/sqrt(49) = $18/7 = $2.57. The z-score for a sample mean of $92 is (92-110)/2.57 = -7.00. A z-score of -7 is extremely low, making the probability essentially 0.

Suppose the Population of All Public Universities Shows the Annual