Male hat sizes in the US, measured as a circumference in centimeters, have an N(59,2) distribution. When men join the military, there is a prepared stockpile of hats to issue that fit the middle 95% of men; anyone else has to have a hat special-ordered.

Tim wears a hat with a circumference of 56cm.

Find a z-score for this situation.


Look up his percentage in the normal distribution table. What percentage of men have hat sizes smaller than Tim’s?



Explain in a complete sentence whether Tim will need to get a hat special-ordered, using the evidence found above.