Among a Random Sample of 500 College Students, the Mean

Among a random sample of 500 college students, the mean number of hours worked per week at non-college related jobs is 14.6. This mean lies 0.4 standard deviations below the mean of the sampling distribution. If a second sample of 500 students is selected, what is the probability that for the second sample, the mean number of hours worked will be less than 14.6?

A) 0.5
B) 0.6179
C) 0.6554
D) 0.3446