Explore BrainMass

# Control limits

This content was COPIED from BrainMass.com - View the original, and get the already-completed solution here!

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?

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

#### Solution Preview

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.

\$2.19