The heights of the 430 National Basketball Association players were listed on te
ID: 3230255 • Letter: T
Question
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 basket ball players have an approximate normal distribution with mean, mu = 79 inches and a standard deviation, sigma = 3.89 inches. For the following height, calculate the z-score and interpret it using complete sentences. 74 inches The z-score is An NBA player whose height is 74 inches is average. For the following height, calculate the z-score and interpret it using complete sentences. 81 inches The z-score is An NBA player whose height is 81 inches is average.Explanation / Answer
sample size n =403
mean = 79
standard deviation =3.89
z score = (height-)/
a)
z score for height =74 is (74-79)/3.89 = -1.29 and a a NBA player whose height is 74 inches is shorter than avaerage
b)
z score for height =81 is (81-79)/3.89 = 0.51 and a NBA player whose height is 81 inches is taller than avaerage
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