For a production process for which there is a great deal of data since its last modification, the population mean and population standard deviation

For a production process for which there is a great deal of data since its last modification, the population mean μ and population standard deviation σ are assumed known. For such a process, we have the following values (using additional statistical analysis):

The values of A, d_2, D₂, and D₁ are found in the table of control chart factors in Example 2 (Table 22.2).

For the bottling process of Exercise 15, find the central line, UCL, and LCL for the mean.

Data from Exercises 15

After bottling, the volume of soft drink in six sample bottles is checked each 10 min. For this process μ = 750.0mL and σ = 2.2 mL. Find the central line, UCL, and LCL for the range.

x chart: central line R chart: central line = do, UCL = , UCL = + Ao, LCL = - Ao Do, LCL Do = =