The mean height of 15 to 18-year-old males from Chile from 2009 to 2010 was 170

Question

The mean height of 15 to 18-year-old males from Chile from 2009 to 2010 was 170 cm with a standard deviation of 6.28 cm. Male heights are known to follow a normal distribution. Let X = the height of a 15 to 18-year-old male from Chile in 2009 to 2010. Then X ~ N(170, 6.28). Suppose a 15 to 18-year-old male from Chile was 176 cm tall from 2009 to 2010. The z-score when x = 176 cm is z = . (round to nearest hundredth). This z-score tells you that x = 176 cm is standard deviations to the (right or left) of the mean of ______ .

Explanation / Answer

Mean is 170 and s is 6.28

x=176

z is given as (x-mean)/s or (176-170)/6.28=0.9554

This z-score tells you that x = 176 cm is 0.9554 standard deviations to the right of the mean of 170

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