A soda company pulled 7 soda cans off the line each hour for

A soda company pulled 7 soda cans off the line each hour for 5 hours. The chart below shows the mean and range of the fluid content of the cans in each sample.

Mean

Range

12.08

0.25

11.94

0.18

11.88

0.16

12.05

0.20

12.00

0.16

What is the LCL of the range chart?

What is the UCL of the mean chart?

Solution

For The mean chart the UCL is

Mean(X) + 3* Standard Deviation(X)/Square root (n)

Here n=5

Hence we get UCL as 12.106

Now for the range chart

the LCL is given by

Mean(R)- d2 / sigma

Hence LCL = 0