A cereal manufacturer weighs cereal boxes using an automatic scale. The target weight is to put 10 ounces of cereal in each box. Fifteen samples of three boxes each have been weighed for quality control purposes. The fill weight for each box is shown below:

Sample 1 2 3

1 10.01 9.90 10.03

2 9.87 10.20 10.15

3 10.08 9.89 9.76

4 10.17 10.01 9.83

5 10.21 10.13 10.04

6 0.16 10.02 9.85

7 10.14 9.89 9.80

8 9.86 9.91 9.99

9 10.18 10.04 9.96

10 9.91 9.87 10.06

11 10.08 10.14 10.03

12 9.71 9.87 9.92

13 10.14 10.06 9.84

14 10.16 10.17 10.19

15 10.13 9.94 9.92

a) Determine the center line, the upper control limit and lower control limit the and R-charts based on the above data.

b) Is the process in control? Why or why not? [Note: You are NOT required to plot the control charts for and R but doing so helps answer this question.]