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    Control limits

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    A cola dispensing machine is set to depense 9 ounces per cup with a standard deviation of .5 oz .THe manufacturer would like to set the control limits so that for samples of 16, 5% of the sample means will be greater than the upper limit and 5% of the sample means less than the lower limit.

    a at what values should the control limits be set

    b what is the probability a shift int he mean to 8.8 ounces will be detected

    c. what is the probability a shift in the mean to 9.1 ounces will nto be detected?

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    https://brainmass.com/statistics/sampling-distribution/cola-dispensing-machine-setting-control-limits-60661

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    Please see the attached Word document for the solution to this exercise.

    A cola dispensing machine is set to dispense 9 ounces per cup with a standard deviation of .5 oz .The manufacturer would like to set the control limits so that for samples of 16, 5% of the sample means will be greater than the upper limit and 5% of the sample means less than the lower limit.

    The key to solving this problem is to find the distribution of ...

    Solution Summary

    This solution shows how to set control limits for a sample mean when sampling from a cola machine.

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