The height of students at the SFSU dormitory is normally distributed with a population mean of 66 inches and a standard deviation of 3 inches. a) What is the z-score for someone who is 63 inches tall? Z = b) What is the z-score for someone who is 69 inches tall? Z = c) What is the height of a person who is 1.5 standard deviations above the mean? inches d) What is the height of a person who is 1.25 standard deviations below the mean? 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 22PFA
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The height of students at the SFSU dormitory is normally distributed with a
population mean of 66 inches and a standard deviation of 3 inches.
a) What is the z-score for someone who is 63 inches tall?
Z=
b) What is the z-score for someone who is 69 inches tall?
Z =
c) What is the height of a person who is 1.5 standard deviations above the mean?
inches
d) What is the height of a person who is 1.25 standard deviations below the mean?
inches
Transcribed Image Text:The height of students at the SFSU dormitory is normally distributed with a population mean of 66 inches and a standard deviation of 3 inches. a) What is the z-score for someone who is 63 inches tall? Z= b) What is the z-score for someone who is 69 inches tall? Z = c) What is the height of a person who is 1.5 standard deviations above the mean? inches d) What is the height of a person who is 1.25 standard deviations below the mean? inches
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