Get personalized and accurate responses to your questions with IDNLearn.com. Ask your questions and get detailed, reliable answers from our community of knowledgeable experts.

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.