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, µ = 79 inches and a standard deviation, o = 3.89 inches. O Part (a) For the following height, calculate the z-score and interpret it using complete sentences. (Round your answer to two decimal places.) 73 inches The z-score is . An NBA player whose height is 73 inches is ---Select--- vaverage. O Part (b) For the following height, calculate the z-score and interpret it using complete sentences. (Round your answer to two decimal places.) 83 inches The z-score is . An NBA player whose height is 83 inches is ---Select-- v average. O Part (c) If an NBA player reported his height had a z-score of 3.5, would you believe him? Explain your answer. (Round your answer to two decimal places.) Az-score of 3.5 equates to a height of inches. There are ---Select--- v NBA players this tall, so it is ---Select--- v that the player's z-score is 3.5.

Glencoe Algebra 1, Student Edition, 9780079039897, 0079039898, 2018
18th Edition
ISBN:9780079039897
Author:Carter
Publisher:Carter
Chapter10: Statistics
Section10.4: Distributions Of Data
Problem 19PFA
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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, u =
79 inches and a standard deviation, o = 3.89 inches.
Part (a)
For the following height, calculate the z-score and interpret it using complete sentences. (Round your answer to two decimal places.)
73 inches
The z-score is
An NBA player whose height is 73 inches is ---Select---
v average.
O Part (b)
For the following height, calculate the z-score and interpret it using complete sentences. (Round your answer to two decimal places.)
83 inches
The z-score is
. An NBA player whose height is 83 inches is ---Select---
v average.
Part (c)
If an NBA player reported his height had a Z-score of 3.5, would you believe him? Explain your answer. (Round your answer to two decimal places.)
A z-score of 3.5 equates to a height of
inches. There are ---Select--- v NBA players this tall, so it is ---Select--- v that the player's z-score is 3.5.
Transcribed Image Text: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, u = 79 inches and a standard deviation, o = 3.89 inches. Part (a) For the following height, calculate the z-score and interpret it using complete sentences. (Round your answer to two decimal places.) 73 inches The z-score is An NBA player whose height is 73 inches is ---Select--- v average. O Part (b) For the following height, calculate the z-score and interpret it using complete sentences. (Round your answer to two decimal places.) 83 inches The z-score is . An NBA player whose height is 83 inches is ---Select--- v average. Part (c) If an NBA player reported his height had a Z-score of 3.5, would you believe him? Explain your answer. (Round your answer to two decimal places.) A z-score of 3.5 equates to a height of inches. There are ---Select--- v NBA players this tall, so it is ---Select--- v that the player's z-score is 3.5.
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