Rosencrantz and Guildenstern are on a weight-reducing diet. Rosencrantz, who weighs 178 lbs., belongs to an age and body- type group for which the mean weight is 145 lbs. and the standard deviation is 15 lbs.

Glencoe Algebra 1, Student Edition, 9780079039897, 0079039898, 2018
18th Edition
ISBN:9780079039897
Author:Carter
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Chapter10: Statistics
Section10.4: Distributions Of Data
Problem 19PFA
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Rosencrantz and Guildenstern are on a weight-reducing diet.
Rosencrantz, who weighs 178 lbs., belongs to an age and body-
type group for which the mean weight is 145 lbs. and the
standard deviation is 15 lbs.
Guildenstern, who weighs 204 lbs., belongs to an age and body-
type group for which the mean weight is 165 lbs. and the
standard deviation is 20 lbs.
Assuming z-scores are good measures for comparison in this
context, who is more overweight for his age group and body
type?
Answer the following.
• z-score for Rosencratz:
(Write your
answer to two decimal places, e.g., 1.23, 2.10, -0.80, etc.)
• z-score for Guildenstern:
(Write your
answer to two decimal places, e.g., 1.23, 2.10, -0.80, etc.)
is more overweight for his age and body
type. (Write R for Rosencrantz: write G for Guildenstern.).
Transcribed Image Text:Rosencrantz and Guildenstern are on a weight-reducing diet. Rosencrantz, who weighs 178 lbs., belongs to an age and body- type group for which the mean weight is 145 lbs. and the standard deviation is 15 lbs. Guildenstern, who weighs 204 lbs., belongs to an age and body- type group for which the mean weight is 165 lbs. and the standard deviation is 20 lbs. Assuming z-scores are good measures for comparison in this context, who is more overweight for his age group and body type? Answer the following. • z-score for Rosencratz: (Write your answer to two decimal places, e.g., 1.23, 2.10, -0.80, etc.) • z-score for Guildenstern: (Write your answer to two decimal places, e.g., 1.23, 2.10, -0.80, etc.) is more overweight for his age and body type. (Write R for Rosencrantz: write G for Guildenstern.).
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