The heights of the 430 National Basketball Association players were listed on team rosters at the start of the 2005–2006 season. The heights of basketball players have an approximate normal distribution with mean,
= 79 inches
and a standard deviation,
= 3.89 inches.


1. If an NBA player reported his height had a z-score of 3.4, would you believe him? Explain your answer. (Round your answer to two decimal places.)

A z-score of 3.4 equates to a height of ____