## Elementary Statistics (12th Edition)

a) By the empirical rule, 68% of the data are within 1 standard deviation of the mean, hence the answer is 68%. b) $|96.34-98.2|=|100.06-98.2|=1.86=3 \ standard \ deviation$, hence by the empirical rule, 99.7% of the data are within 3 standard deviations from the mean, hence the answer is 99.7%.