The heights of the 430 National Basketball Association players were listed on team rosters at the start of the2005-2006season. The heights of basketball players have an approximate normal distribution with mean,= 79 inches

and a standard deviation,= 3.89 inches.

• Part (a)
• For the following height, calculate thez-scoreand interpret it using complete sentences. (Round your answer to two decimal places.)
• 76inches
• Thez-scoreis__________. An NBA player whose height is76inches is(shorter than or taller than) average.
• Part (b)
• For the following height, calculate thez-scoreand interpret it using complete sentences. (Round your answer to two decimal places.)
• 84inches
• Thez-scoreis___________. An NBA player whose height is84inches is(shorter than or taller than)average.
• Part (c)
• If an NBA player reported his height had az-score of3.4, would you believe him? Explain your answer. (Round your answer to two decimal places.)
• Az-scoreof3.4equates to a height of__________ inches.There are(few or many)NBA players this tall, so it is (unlikely or likely) that the player'sz-scoreis3.4.