# Control limits

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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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.