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Woodland and Clear Beach are schools in different states, Alan is a student at Woodland and is 56 inches talI, Goran is a student at Clear Beach and is 45 inches tall. The heights of students at Woodland have a population mean of 65.2 inches and a standard deviation of 4.1 inches. The heights of students at Clear Beach have a population mean of 59.5 inches with a standard deviation of 4.9 inches. For each school, the distribution of the heights of students is clearly bell-shaped. (a) Find the z-scores of Alan's height as a student at Woodland and Goran's height as a student at Clear Beach. Round your answers to two decimal places. z-score of Alan's height: z-score of Goran's height: b) Relative to his population, which student is shorter? Choose the best answer based on the z-scores of the two heights. O Alan O Goran O It is unclear which student is shorter relative to his population

Woodland and Clear Beach are schools in different states, Alan is a student at Woodland and is 56 inches talI, Goran is a student at Clear Beach and is 45 inches tall. The heights of students at Woodland have a population mean of 65.2 inches and a standard deviation of 4.1 inches. The heights of students at Clear Beach have a population mean of 59.5 inches with a standard deviation of 4.9 inches. For each school, the distribution of the heights of students is clearly bell-shaped. (a) Find the z-scores of Alan's height as a student at Woodland and Goran's height as a student at Clear Beach. Round your answers to two decimal places. z-score of Alan's height: z-score of Goran's height: b) Relative to his population, which student is shorter? Choose the best answer based on the z-scores of the two heights. O Alan O Goran O It is unclear which student is shorter relative to his population

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
Section10.3: Measures Of Spread
Problem 26PFA
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Woodland and Clear Beach are schools in different states. Alan is a student at Woodland and is 56 inches tall. Goran is a student at Clear Beach and is 45 inches tall. The heights of students at Woodland have a population mean of 65.2 inches and a standard deviation of 4.1 inches. The heights of students at Clear Beach have a population mean of 59.5 inches with a standard deviation of 4.9 inches. For each school, the distribution of the heights of students is clearly bell-shaped. (a) Find the z-scores of Alan's height as a student at Woodland and Goran's height as a student at Clear Beach. Round your answers to two decimal places. Z-score of Alan's height: Z-score of Goran's height: (b) Relative to his population, which student is shorter? Choose the best answer based on the z-scores of the two heights. O Alan O Goran O It is unclear which student is shorter relative to his population
Transcribed Image Text:Woodland and Clear Beach are schools in different states. Alan is a student at Woodland and is 56 inches tall. Goran is a student at Clear Beach and is 45 inches tall. The heights of students at Woodland have a population mean of 65.2 inches and a standard deviation of 4.1 inches. The heights of students at Clear Beach have a population mean of 59.5 inches with a standard deviation of 4.9 inches. For each school, the distribution of the heights of students is clearly bell-shaped. (a) Find the z-scores of Alan's height as a student at Woodland and Goran's height as a student at Clear Beach. Round your answers to two decimal places. Z-score of Alan's height: Z-score of Goran's height: (b) Relative to his population, which student is shorter? Choose the best answer based on the z-scores of the two heights. O Alan O Goran O It is unclear which student is shorter relative to his population
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