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1 April, 07:46

Boxes of Honey-Nut Oatmeal are produced to contain 14.0 ounces, with a standard deviation of 0.15 ounce. For a sample size of 36 , the 3-sigma x overbar chart control limits are:

a. Upper Control Limit (UCL Subscript x overbar ) = 14.08 ounces (round your response to two decimal places).

b. Lower Control Limit (LCL Subscript x overbar ) = 13.93 ounces (round your response to two decimal places).

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  1. 1 April, 09:37
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    UCL 14.08oz

    LCL 13.93oz

    Explanation:

    'x=σ/√n

    0.15/36 = 0.15/6=0.025

    'x = = 14oz

    UCL='x+z σ'x

    UCL='x-z σ'x

    UCL = 14 + 3σ'x=14 + 3 (0.025)

    =14+0.075

    UCL=14.075oz approximately 14.08oz

    LCL = 14 - 3σ'x=14 - 3 (0.025)

    =14 - 0.075

    LCL=13.925oz approximately 13.93oz
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