# Using the health records of ever student at a high school, the school nurse created a scatterplot relating y= text{height (in centimeters) to} x= text

Using the health records of ever student at a high school, the school nurse created a scatterplot relating
About what percent of 15-year-old students at this school are taller than 180 cm?
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Aniqa O'Neill

Given: (Equation population regression line):
$\sigma =7$ The average height of 15-year-old students at this high scool according to the population regression line can be found by replacing x in the regression line equation by 15 and evaluating.  Thus the mean is 168 and the standard deviation is7. Since the conditions are met, the response y varies according to a Normal distribution. The z-score is the value decreased by the mean, divided by the standard deviation.  Determine the corresponding probability using the normal probability table in the appendix.  is given in the row starding with 1.7 and in the column starting with .01 of the standard normal probability table in the appendix.

$=0.0436$
$=4.36\mathrm{%}$ Thus about $4.36\mathrm{%}$ of the 15-year-old students at this scool are expected to be taller than 180 cm.