Question 1:

Joe and Sara are each running a 5k. In the age/ability group that Joe is running in, the average run time is 22:30 minutes/seconds with a standard deviation of 4 minutes. In the age/ability group that Sara is running in, the average run time is 31:15 minutes/seconds with a standard deviation of 6 minutes.



Joe's run time is 19:45. Sara's run time is 28:20. Compute the z-scores for each and thus make a claim about who ran a better race compared to their age/ability group.

Question 2:

Suppose a data set has a mean 50 and standard deviation 5. If the Z-score of a data value is -2, what is the actual score?