At Lakeview High School, students either walk to school or provide their own transportation. Suppose that those who walk have a mean commute time of 15 minutes with a standard deviation of 3 minutes, while those who use some other form of travel have a mean and standard deviation of 12 and 2 minutes, respectively. The principal takes an SRS of students who walk, and an independent SRS of students who use some other form of travel. The principal calculates the mean commute time for each sample, then looks at the difference between the sample means. What are the mean and standard deviation (in minutes) of the sampling distribution of the difference in sample means?
A) Mean = 3, Standard deviation = 5
B) Mean = 0, Standard deviation = 3
C) Mean = 3, Standard deviation = 3
D) Mean = 0, Standard deviation = 5
