Castle Creek and Clear Beach are schools in different states. The heights of students at Castle Creek have a population mean of 55.2 inches and a standard deviation of 5.4 inches. The heights of students at Clear Beach have a population mean of 54.6 inches with a standard deviation of 3.1 inches. For each school, the distribution of the heights of students is clearly bell-shaped. Laura is a student at Castle Creek and is 69 inches tall. Mary is a student at Clear Beach and is 49 inches tall. (a) Find the z-scores of Laura's height as a student at Castle Creek and Mary's height as a student at Clear Beach. Round your answers to two decimal places. z-score of Laura's height: 0 Z-score of Mary's height: (b) Relative to her population, which student is shorter? Choose the best answer based on the z-scores of the two heights. O Laura O Mary O It is unclear which student is shorter relative to her population X K S X Ś

MATLAB: An Introduction with Applications
6th Edition
ISBN:9781119256830
Author:Amos Gilat
Publisher:Amos Gilat
Chapter1: Starting With Matlab
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Castle Creek and Clear Beach are schools in different states. The heights of students at Castle Creek have a population mean of 55.2 inches and a standard
deviation of 5.4 inches. The heights of students at Clear Beach have a population mean of 54.6 inches with a standard deviation of 3.1 inches. For each school,
the distribution of the heights of students is clearly bell-shaped.
Laura is a student at Castle Creek and is 69 inches tall. Mary is a student at Clear Beach and is 49 inches tall.
(a) Find the z-scores of Laura's height as a student at Castle Creek and Mary's height as a student at Clear Beach. Round
your answers to two decimal places.
z-score of Laura's height: 0
Z-score of Mary's height:
(b) Relative to her population, which student is shorter?
Choose the best answer based on the z-scores of the two heights.
O Laura
O Mary
O It is unclear which student is shorter relative to her population
X
K
S
X
Ś
Transcribed Image Text:Castle Creek and Clear Beach are schools in different states. The heights of students at Castle Creek have a population mean of 55.2 inches and a standard deviation of 5.4 inches. The heights of students at Clear Beach have a population mean of 54.6 inches with a standard deviation of 3.1 inches. For each school, the distribution of the heights of students is clearly bell-shaped. Laura is a student at Castle Creek and is 69 inches tall. Mary is a student at Clear Beach and is 49 inches tall. (a) Find the z-scores of Laura's height as a student at Castle Creek and Mary's height as a student at Clear Beach. Round your answers to two decimal places. z-score of Laura's height: 0 Z-score of Mary's height: (b) Relative to her population, which student is shorter? Choose the best answer based on the z-scores of the two heights. O Laura O Mary O It is unclear which student is shorter relative to her population X K S X Ś
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