1. 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. For each of the following heights, calculate thez-score and interpret it using complete sentences.

a.77 inches

b.85 inches

c.If an NBA player reported his height had az-score of 3.5, would you believe him? Explain your answer.