A large school district held a district-wide track meet for all high school students.

For the 2-mile run, the population of female students participating had a mean running time of 8. 8 minutes with standard deviation of 3. 3 minutes, and the population of male students participating had a mean running time 7. 3 minutes with standard deviation of 2. 9 minutes.

Suppose 8 female students and 8 male students who participated in the 2-mile run are selected at random from each population.

Let x-barM represent the sample mean running time for the male students, and let x- barF represent the sample mean running time for the female students. What are the mean and standard deviation of the sampling distribution of the difference in sample means x-barM-x-barF?

a. 0. 4 & 4. 42.

b. 1. 5 & 1. 553.

c. 0 -1. 5 & 2. 413.

d. 1. 5 & 2. 413.

e. -1. 5 & 1. 553