Suppose the population of all public Universities shows the annual parking fee per student is $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 sample mean between $100 and $115 is _______.
A) 0.9738
B) 0.4738
C) 0.0262
D) 0.6103
E) 0.1103

Question

Quizplus · Accepted Answer

The sampling distribution of the sample mean will be normally distributed with mean $110 and standard deviation $18/sqrt(49) = $2.57. We calculate the z-scores for $100 and $115, then find the probability between these z-scores using the standard normal distribution table. The probability corresponds to 0.9738.

Suppose the Population of All Public Universities Shows the Annual