A production process is designed to fill boxes with an average of 12 ounces of cereal. The population of filling weights is normally distributed with a standard deviation of 2 ounces.

a.Calculate the centerline, the upper control limit (UCL), and the lower control limit (LCL) for thexxchart if samples of 10 boxes are taken.(Round the value for the centerline to the nearest whole number and the values for the UCL and LCL to 3 decimal places.)

b.Analysts obtain the following sample means after a recent inspection of the production process. Can they conclude that the process is under control?

x1=13.0x1=13.0,x2=13.2x2=13.2,x3=14.4x3=14.4,x4=13.4x4=13.4,x5=13.2x5=13.2,x6=13.0x6=13.0

multiple choice

• Nobecause some sample means lie outside the control limits.
• Yesbecause some sample means lie outside the control limits.
• Yesbecause all sample means lie within the control limitsand there is no systematic pattern.
• Nobecause even though all sample means lie within the control limitsthere is a negative trend.Incorrect