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Arroyo Seco and Willow Road are schools in different states. John is a student at Arroyo Seco and is 47 inches tall. Joe is a

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Arroyo Seco and Willow Road are schools in different states. John is a student at Arroyo Seco and is 47 inches tall. Joe is a student at Willow Road and is 64 inches tall. The heights of students at Arroyo Seco have a population mean of 59.8 inches and a standard deviation of 3.6 inches. The heights of students at Willow Road have a population mean of 57.6 inches with a standard deviation of 2.4 inches. For each school, the distribution of the heights of students is clearly bell-shaped. (a) Find the z-scores of John's height as a student at Arroyo Seco and Joe's height as a student at Willow Road. Round your answers to two decimal places. X z-score of John's height: z-score of Joe's height: (b) Relative to his population, which student is taller? Choose the best answer based on the z-scores of the two heights. John X O Joe It is unclear which student is taller relative to his population

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