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27 April, 10:33

An automated machine fills bottles with a mean of 16 oz. and standard deviation of 0.1 oz. Assuming that Cpk index is 1 for this process, what are the lower and upper specification limits? Multiple Choice 1. lower spec = 14.3 ounces and upper spec = 17.7 ounces 2. There is insufficient information to determine the process specification. 3. lower spec = 15.7 ounces and upper spec = 16.3 ounces 4. lower spec = 12.0 ounces and upper spec = 21.4 ounces 5. lower spec = 0.1 ounces and upper spec = 1 ounce

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  1. 27 April, 13:37
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    The correct answer is option 2.

    There is insufficient information to determine the process specification.

    Explanation:

    There is insufficient information to determine the process specification

    CpK = Min (CpU, CpL)

    CpU = (Upper Specification Limit - Mean) / 3*Standard Deviation

    CpL = (Mean - Lower Specification Limit) / 3*Standard Deviation

    Hence, as both upper Specification Limit and lower specification limit is not mentioned, it cannot be measured.
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