Lazy B Ranch produces leather hides for use in the furniture and automotive upholstery industry. The company has taken ten samples of 9 observations each, measuring the square footage of each hide. Summary data is shown below:
|
Mean
|
Minumum
|
Maximum
|
|
13.2
|
12.7
|
13.5
|
|
12.8
|
12.5
|
13.3
|
|
13.3
|
12.6
|
13.7
|
|
13.1
|
12.5
|
13.5
|
|
12.7
|
12.2
|
13
|
|
12.9
|
12.5
|
13.3
|
|
13.2
|
12.9
|
13.5
|
|
13
|
12.6
|
13.6
|
|
13.1
|
12.7
|
13.4
|
|
12.7
|
12.3
|
13.5
|
Use the data set to setup the control limits for the hides. Why would it be important for the Lazy B Ranch to track this information? Why might it be harder for the Lazy B to reduce process variability than it would be for a typical manufacturer?