Back again! This is probably simple, but I also wanted to check my answer, so here is the question:
The distribution of heights of adult American men is approximately normal with a mean 69 inches and a standard deviation of 2.5 inches. Using the Empirical Rule, find the following: A height of 71.5 inches corresponds to what percentile of adult male American heights?
I tried to solve it, and I suppose I was close? I got P 94, but it doesn't make sense? Anyway, thanks for coming in to help answer this!
As requested in comments:
$71.5$ is one standard deviation ($2.5$) above the mean of $69$
You know about $68\%$ of a normal distribution is within one standard deviation of the mean, so about $34\%$ is between the midpoint and one standard deviation above the mean and $50\%$ is below the mean
$50\%+34\%=84\%$