**Please show you calculated Sample Mean and Sample Range**

A water vending machine at the local supermarket is designed to fill 20-litre water bottles. Every 5 hours, a sample of 5 water bottles is taken and the contents of the bottles are carefully measured. While the filling process was in control, the average of the sample means was found to be 19.85 L and the average of the sample range was found to be 0.3 L.

1. Calculate 3 control limits for mean and range charts to monitor this process.
2. Recently, six additional samples of size 5 have been filled by the vending machine. The individual amounts of water in litres are recorded in the following table. Calculate the mean and the range for each sample.

Sample No.						Sample Mean	Sample Range
1	19.6	19.7	20.2	19.9	20.1	?	?
2	20.1	20.0	19.9	20.2	19.8	?	?
3	19.7	20.2	19.8	19.6	20.0	?	?
4	19.8	20.3	20.1	20.1	20.4	?	?
5	20.0	20.2	20.0	20.2	20.3	?	?
6	19.7	20.1	20.1	19.9	20.2	?	?

3. Draw the mean and the range charts for this process. Plot the results of the six samples on the chart.
4. Does the process appear to be in control?