Apcct to BE taller than he is? 12. Antonio's height is 1 standard deviation below heights of boys are normally distributed, at wh

Calculus: Early Transcendentals
8th Edition
ISBN:9781285741550
Author:James Stewart
Publisher:James Stewart
Chapter1: Functions And Models
Section: Chapter Questions
Problem 1RCC: (a) What is a function? What are its domain and range? (b) What is the graph of a function? (c) How...
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12 pleaseee
mode.
bove Ao the means and standard deviations for the heights of 6- and 14-year-old
Age
Mean
Standard deviation
45.8 in.
1.4
14
64.3 in.
2.8
a. Which boy is taller for his age?
D. If there are 11 other boys in the 6-year-old's class at school, how many of them
would you expect to be taller than he is?
12. Antonio's height is 1 standard deviation below the mean for boys his age. If the
heights of boys are normally distributed, at what percentile is Antonio's height? (What
percent of the boys his age are as short or shorter than Antonio?)
13. Suppose a student had a z-score of -0.3 on a standardized exam. Would you consider
this a passing or failing score? Why?
14. Suppose you gave your students a test and converted their scores into z-scores. Could
you tell from just the z-scores how well your class did on the test? Why or why not?
15. What are the advantages of converting raw scores to z-scores? What are the
disadvantages of converting to z-scores? Is any information lost?
16, Consider the graphs of three normal
distributions, P, Q, and R, on the same
Transcribed Image Text:mode. bove Ao the means and standard deviations for the heights of 6- and 14-year-old Age Mean Standard deviation 45.8 in. 1.4 14 64.3 in. 2.8 a. Which boy is taller for his age? D. If there are 11 other boys in the 6-year-old's class at school, how many of them would you expect to be taller than he is? 12. Antonio's height is 1 standard deviation below the mean for boys his age. If the heights of boys are normally distributed, at what percentile is Antonio's height? (What percent of the boys his age are as short or shorter than Antonio?) 13. Suppose a student had a z-score of -0.3 on a standardized exam. Would you consider this a passing or failing score? Why? 14. Suppose you gave your students a test and converted their scores into z-scores. Could you tell from just the z-scores how well your class did on the test? Why or why not? 15. What are the advantages of converting raw scores to z-scores? What are the disadvantages of converting to z-scores? Is any information lost? 16, Consider the graphs of three normal distributions, P, Q, and R, on the same
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