according to a recent report from the U.S. national center for Health statistics, females between 25 and 34 years of age have a bell-shaped distribution for height, with mean of 65 inches and a standard deviation of 3.5 inches
a- give an interval within which about 95% of the height falls
b- what is the height for a female who is 3 standard deviations below the mean? would this be a rather unusual height?why?
reason This is on the cusp of what would be considered an outlier according to the z-score criterion. Scores that are beyond three standard deviations from the mean are considered to be potential outliers. So, yes, this height is bordering on unusual