The mean on a Advanced Algebra test was 78 with a standard deviation of 8. If the test scores are normal distributed, find the interval about the mean that contains 99.7% of the scores. Use the empirical rule.
The empirical rule says about 99.7% of any normal distribution lies within three standard deviations of the mean. This corresponds to the interval \((78-3\times8,78+3\times8)=(54,102)\).
