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The time to complete a standardized exam is approximately normal with a mean of 70 minutes and a standard deviation of 10 minutes. Using the 68-95-99.7 rule, if students are given 90 minutes to complete the exam, what percentage of students will not finish?

  • statistics - ,

    Here is what they mean by that rule:

    68% finish within one std. deviation.
    95% finish within two std. deviations (50 to 90 minutes in this case).
    99.7% finish withing three std. deviations.

    Considering the second group, half (47.5%) will finish within 70 to 90 minutes. Since the fraction above the mean is 50% for a normal distribution, that means 2.5% will not finish at all in 90 minutes.
    A more exact value, using a calculator, is 2.3%

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