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3 May, 20:40

The specifications of an electronic device are 24 / - 0.4 Amps. When the device exceeds specifications the average quality cost is $32.00. A sample of the devices had an average value of 23.9 Amps and a standard deviation of 0.211 Amps. What is the average loss for this device

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  1. 3 May, 22:09
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    The average loss for this device is $10.90

    Explanation:

    Given data

    Specification = 24 + / - 0.4 Amps

    average quality cost = $32.00

    average value y = 23.9

    standard deviation s = 0.211 Amps

    32 = k (24.4 - 24) ²

    32 = k (0.4) ² = k (0.16)

    k = 32/0.16 = 200

    To evaluate average loss, use

    L = k{s² + (y - T) ²}

    T = 24A

    L = 200{0.211² + (23.9 - 24) ²}

    L = $10.90

    The average loss for this device is $10.90
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