The Apparel Company makes expensive polo-style men's and women'sshort-sleeve knit shirts at its plant in Jamaica. The productionprocess requires that material be cut into large patterned squaresby operators, which are then sewn together at another stage of theprocess. If the squares are not of a correct length, the finalshirt will be either too large or too small. In order to monitorthe cutting process, management takes a sample of 4 squares ofcloth every other hour and measures the length. The length of acloth square should be 36 inches, and historically, the company hasfound the length to vary across an acceptable average of 2inches.

Construct an R-chart for the cutting process using 3 sigmalimits.

RAC has taken 10 additional samples with the followingresults:

Samples		Measurements (in.)
1	37.3	36.2	38.2	36.3
2	33.4	35.4	37.3	36.2
3	32.1	34.8	38.1	35.7
4	36.1	36.5	36.2	34.2
5	35.1	37.3	35.2	33.1
6	33.1	35.3	35.3	32.3
7	38.4	39.1	35.1	32.2
8	35.1	36.8	36.1	34.5
9	37.4	39.5	37.2	36.2
10	32.1	34.4	35.5	36.3

Plot the new sample data on the control chart constructed aboveand comment on the process variability.

What might you have learned from this graph?

Construct an x-chart and an R-chart.

Plot the sample observations provided above.
Use both of the x- and R-charts to comment on the process.