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28 February, 14:08

For males in a certain town, the systolic blood pressure is normally distributed with a mean of 130 and a standard deviation of 6. using the empirical rule, determine the interval of systolic blood pressures that represent the middle 99.7 of males.

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  1. 28 February, 16:15
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    Average systolic blood pressure = x = 130

    Standard deviation = s = 6

    We are to find interval that represents the systolic blood pressure of middle 99.7% of the males.

    According to the empirical rule:

    a) 68% values lie within 1 standard deviation of the mean

    b) 95% values lie within 2 standard deviation of the mean

    c) 99.7% values lie within 3 standard deviation of the mean

    So, 99.7% value will lie within 3 standard deviations from the mean.

    We can express this range as:

    (x - 3s, x + 3s)

    = (130 - 3 (6), 130 + 3 (6))

    = (130 - 18, 130 + 18)

    = (112, 148)

    Thus the interval from 112 to 148 contains the systolic blood pressure of middle 99.7% of the males in the certain town
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