The heights of residents living in a college can be said to be normally distributed with mean 171.7 cm and standard deviation 10.1 cm. A student, Nick, is 172.6 cm tall. a) Compute the standardised value or z-score corresponding to Nick's height. Number (Enter your answer correct to at least 4 decimal places) b) Hence, compute the proportion of residents who are taller than Nick. Number (Enter your answer correct to at least 2 decimal places) It is known that Samim, another college student, is shorter than 62% of the residents in the college. c) How many standard deviations below or above the mean is Samim's height? Enter a negative value if below the mean and enter a positive value if the mean. Number (Enter your answer correct to at least 4 decimal places) d) Hence, compute Samim's height. Number cm (Enter your answer correct to at least 2 decimal places in centimeters)
The heights of residents living in a college can be said to be normally distributed with mean 171.7 cm and standard deviation 10.1 cm. A student, Nick, is 172.6 cm tall. a) Compute the standardised value or z-score corresponding to Nick's height. Number (Enter your answer correct to at least 4 decimal places) b) Hence, compute the proportion of residents who are taller than Nick. Number (Enter your answer correct to at least 2 decimal places) It is known that Samim, another college student, is shorter than 62% of the residents in the college. c) How many standard deviations below or above the mean is Samim's height? Enter a negative value if below the mean and enter a positive value if the mean. Number (Enter your answer correct to at least 4 decimal places) d) Hence, compute Samim's height. Number cm (Enter your answer correct to at least 2 decimal places in centimeters)
MATLAB: An Introduction with Applications
6th Edition
ISBN:9781119256830
Author:Amos Gilat
Publisher:Amos Gilat
Chapter1: Starting With Matlab
Section: Chapter Questions
Problem 1P
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Transcribed Image Text:The heights of residents living in a college can be said to be normally distributed with mean 171.7 cm and standard
deviation 10.1 cm.
A student, Nick, is 172.6 cm tall.
a) Compute the standardised value or z-score corresponding to Nick's height.
Number
(Enter your answer correct to at least 4 decimal places)
b) Hence, compute the proportion of residents who are taller than Nick.
Number
(Enter your answer correct to at least 2 decimal places)
It is known that Samim, another college student, is shorter than 62% of the residents in the college.
c) How many standard deviations below or above the mean is Samim's height? Enter a negative value if below the
mean and enter a positive value if above the mean.
Number
(Enter your answer correct to at least 4 decimal places)
d) Hence, compute Samim's height.
Number
cm (Enter your answer correct to at least 2 decimal places in centimeters)
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VIEWStep 2: (a) Compute the standardized value corresponding to Nick's height.
VIEWStep 3: b) Compute the proportion of residents who are taller than Nick:
VIEWStep 4: (c) Find the standard deviations above or below the mean of Samim's height:
VIEWStep 5: (d) Computation of Samim's height:
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