The Office of Student Services at a Large Western State

Multiple Choice

The Office of Student Services at a large western state university maintains information on the study habits of its full-time students. Their studies indicate that the mean amount of time undergraduate students study per week is 20 hours. The hours studied follows the normal distribution with a population standard deviation of six hours. Suppose we select a random sample of 144 current students. What is the probability that the mean of this sample is between 19 hours and 20 hours?

A) 2.00
B) 0.4772
C) −2.00
D) Cannot be calculated based on the given information.