X G Castle Creek and Arroyo Seco are schools in different states. Jane is a student at Castle Creek and is 49 inches tall. Keiko is a student at Arroyo Seco and is 69 inches tall. The heights of students at Castle Creek have a population mean of 54.6 inches and a standard deviation of 3.1 inches. The heights of students at Arroyo Seco have a population mean of 55.2 inches with a standard deviation of 5.4 inches. For each school, the distribution of the heights of students is clearly bell-shaped. (a) Find the z-scores of Jane's height as a student at Castle Creek and Keiko's height as a student at Arroyo Seco. Round your answers to two decimal places. z-score of Jane's height: z-score of Keiko's height: (b) Relative to her population, which student is shorter? Choose the best answer based on the z-scores of the two heights. X S Jane Keiko It is unclear which student is shorter relative to her population