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A 14-year-old boy is 66.3 in. tall. His 6-year-old brother is 47.3 in. tall. The following table gives the means and standard deviations for the

A 14-year-old boy is 66.3 in. tall. His 6-year-old brother is 47.3 in. tall. The following table gives the means and standard deviations for the heights of 6- and 14-year-old boys. Assume that the heights of boys at a particular age are normally distributed. Age Mean Standard Deviation 6 45.8 in. 1.4 in. 14 64.3 in. 2.8 in. (a) The height of the 14-year-old boy is how many standard deviations above the mean? (Give your answer to two decimal places.) z = (b) The height of the 6-year-old boy is how many standard deviations above the mean? (Give your answer to two decimal places.) x = 1.64 Enter numeric value

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