Question

The average time a boulder high varsity lacrosse player plays in a game is 30 minutes with a standard deviation of 7 minutes. nolan’s playing time in last week’s game against fairview was 48 minutes. (a) calculate the z-score for nolan’s playing time against fairview. (round your answer to 2 decimal places.)

Answer 1

Solving this problem is pretty straight forward.

We simply use the formula:

z-score = (x – u) / s

 

where,

x = sample value = 48 minutes

u = mean value = 30 minutes

s = standard deviation = 7 minutes

 

Therefore,

z-score = (48 minutes – 30 minutes) / 7 minutes

z-score = 2.57