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13 May, 03:49

In a study of

500

men, diastolic blood pressure was found to be approximately normally distributed, with a mean of 82 millimeters (mm) of mercury and standard deviation of 10 millimeters.

Use the 68-95-99.7% rule to determine what percentage of the test group had a diastolic pressure between

52 millimeters

and

112 millimeters

of mercury.

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Answers (1)
  1. 13 May, 04:53
    0
    We know that:

    Mean = 82 mm and SD = 10 mm (standard deviation)

    82 - 3 * SD = 82 - 3 * 10 = 82 - 30 = 52 mm

    82 + 3 * SD = 82 + 3 * 10 = 82 + 30 = 112 mm

    Population between 52 and 112 mm is within + / - 3 standard deviations from the mean.

    By the 66 - 95 - 99.7 % rule it is: 99.7% of the test group.

    0.977 * 500 = 498.5

    Answer:

    99.7 % of the test group have a diastolic pressure between 52 and 112 mm, or 498 men.
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