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Quality control programs will often establish control limits that are

Quality control programs will often establish control limits that are three standard errors above and below a target mean for a process. A sample is taken from the process, and if the sample mean is within the control limits the process is deemed satisfactory. A process is designed to fill bottles with 16 ounces of soda with a standard deviation of 0.5 ounces.

a. Determine the control limits above and below the mean for this process using a sample size of 30.

b. What percentage of sample means would you expect to fall within these limits if the process is operating satisfactorily?

a. Determine the control limits above and below the mean for this process using a sample size of 30.

b. What percentage of sample means would you expect to fall within these limits if the process is operating satisfactorily?

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