The distribution of heights of the players on a university football team in Arizona is approximately normally distributed with a mean of 74.9 inches and standard deviation of 2.0 inches. Robert plays for this Arizona team. His best friend Peter plays for a university football team in Florida. Both players are 73.2 inches tall and both player heights have the same standardized score (z-score) for their respective teams. If the Florida distribution is also approximately normal, but with a standard deviation of 2.9 inches, what is the mean height of a football player on this Florida team? (A) 70.7 inches (B) 72.0 inches (C) 74.4 inches (D) 75.7 inches (E) 77.8 inches

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 distribution of heights of the players on a university football team in Arizona is approximately
normally distributed with a mean of 74.9 inches and standard deviation of 2.0 inches. Robert plays
for this Arizona team. His best friend Peter plays for a university football team in Florida. Both
players are 73.2 inches tall and both player heights have the same standardized score (z-score) for
their respective teams. If the Florida distribution is also approximately normal, but with a standard
deviation of 2.9 inches, what is the mean height of a football player on this Florida team?
(A) 70.7 inches
(B) 72.0 inches
(C) 74.4 inches
(D) 75.7 inches
(E) 77.8 inches
Transcribed Image Text:The distribution of heights of the players on a university football team in Arizona is approximately normally distributed with a mean of 74.9 inches and standard deviation of 2.0 inches. Robert plays for this Arizona team. His best friend Peter plays for a university football team in Florida. Both players are 73.2 inches tall and both player heights have the same standardized score (z-score) for their respective teams. If the Florida distribution is also approximately normal, but with a standard deviation of 2.9 inches, what is the mean height of a football player on this Florida team? (A) 70.7 inches (B) 72.0 inches (C) 74.4 inches (D) 75.7 inches (E) 77.8 inches
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