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22 September, 01:30

A sample of wires coming off the production line was tested for tensile strength. The statistical results (in PSI) were the following: Arithmetic mean 500 Median 500 Mode 500 Standard deviation 40 Quartile deviation 25 Mean deviation 32 Range 240 Sample size 100 According to the Empirical rule, the middle 95% of the wires tested had a tensile strength between approximately what two values

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  1. 22 September, 01:57
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    The middle 95% of the wires tested had a tensile strength between approximately 420 PSI and 580 PSI

    Step-by-step explanation:

    The Empirical Rule states that, for a normally distributed random variable:

    68% of the measures are within 1 standard deviation of the mean.

    95% of the measures are within 2 standard deviation of the mean.

    99.7% of the measures are within 3 standard deviations of the mean.

    In this problem, we have that:

    Mean = 500

    Standard deviation = 40

    According to the Empirical rule, the middle 95% of the wires tested had a tensile strength between approximately what two values

    By the empirical rule, within 2 standard deviations of the mean

    500 - 2*40 = 420 PSI

    500 + 2*40 = 580 PSI

    The middle 95% of the wires tested had a tensile strength between approximately 420 PSI and 580 PSI
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