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Woodland and Willow Road are schools in different states. The heights of students at Woodland have a population mean of 54.5 inches and a
Woodland and Willow Road are schools in different states. The heights of students at Woodland have a population mean of 54.5 inches and a standard deviation of 1.7 inches. The heights of students at Willow Road have a population mean of 61.2 inches with a standard deviation of 2.1 inches. For each school, the distribution of the heights of students is clearly bell- shaped. Alan is a student at Woodland and is 50 inches tall. Tony is a student at Willow Road and is 54 inches tall. (a) Find the z-scores of Alan's height as a student at Woodland and Tony's height as a student at Willow Road. Round your answers to two decimal places. z-score of Alan's height: z-score of Tony's height: (b) Relative to his population, which student is taller? Choose the best answer based on the z-scores of the two heights. O Alan Tony
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