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Would lun ne 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?)

Would lun ne 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?)

Glencoe Algebra 1, Student Edition, 9780079039897, 0079039898, 2018
Glencoe Algebra 1, Student Edition, 9780079039897, 0079039898, 2018
18th Edition
ISBN:9780079039897
Author:Carter
Publisher:Carter
Chapter10: Statistics
Section10.4: Distributions Of Data
Problem 19PFA
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"yCal-UIU Brother is 47 in. tall. Thë föllowing 11. A1 Age Mean Standard deviation 6. 45.8 in. 1.4 14 64.3 in. 2.8 . Which boy is taller for his age? h 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 0, and R, on the same coordinate system: a. Which distributions have the same mean? Tell how you know.
Transcribed Image Text:"yCal-UIU Brother is 47 in. tall. Thë föllowing 11. A1 Age Mean Standard deviation 6. 45.8 in. 1.4 14 64.3 in. 2.8 . Which boy is taller for his age? h 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 0, and R, on the same coordinate system: a. Which distributions have the same mean? Tell how you know.
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