For males in a certain town, the systolic blood pressure is normally distributed with a mean of 110 and a standard deviation of 9 Using the empirical rule, what percentage of males in the town have a systolic blood pressure between 92 and 128?
According to the empirical rule, approximately 68% of values fall within one standard deviation of the mean, 95% within two standard deviations, and 99.7% within three standard deviations.
For a systolic blood pressure between 92 and 128, we are looking at values that fall within two standard deviations of the mean (110). The lower boundary of 92 is 2 standard deviations below the mean (110 - 2*9 = 92), and the upper boundary of 128 is 2 standard deviations above the mean (110 + 2*9 = 128).
So, the percentage of males in the town with a systolic blood pressure between 92 and 128 is approximately 95% according to the empirical rule.