Question

The average ice skate size of customers at an ice rink with 200 patrons is 9.5. Assume the data is normally distributed. If the standard deviation of this data is 0.5, how many patrons have a skate size of 10.5 or larger?

Answer 1

Only about 2.28% of the skates will be size 10.5 or larger.

To answer this question, we need to find the z-score of the shoe size and look that up on a normal distribution table.

(10.5 - 9.5) / 0.5 = 2

Using the table, only about 2.28% of the values are larger than a z-score of 2.