I'm trying to figure out the probability that Set A will be higher than set B.
Set A has an Average of 40 and a standard deviation of 5.
Set B has an Average of 44 and a standard deviation of 6.
I thought I would solve for X to figure out how many standard deviations it would take for them to meet, but that doesn't seem to work. To do this I did:
40 + 5x = 44 + 6x & 40 -5x = 44 -6x
which results in:
x = -4 & x = -4
I suppose I could present a little scenario to illustrate what I am trying to accomplish.
Suppose Person A's average exam grade = 40 with an SD of 5.
and that Person B's average exam grade = 44 with an SD of 6.
What is the probability of person A scoring higher than person B on the next exam.
I'm not sure if this problem is even possible. Any help would be greatly appreciated.