J. McWilliams Swim Club is trying to calibrate their chlorine pump to ensure that the right amount of chlorine (1.0-1.5 ppm of free chlorine) is mixed into the water. Thirty samples of four readings at random times during the week were taken. Thesedata can befoundbelow.

a. Explain step by step how to properly compute themean and rangeof each sample,calculate control limits,and plot them on x and R control charts on an excel spreadsheet.

b. Does the process appear to be in statistical control? Calculate descriptive statistics thatmay help youto determine theanswer to thisquestion. What evidence is there for your conclusion?

J. McWilliams Swim Club
Sample	DATA
1	1.22	1.32	1.21	1.35
2	1.36	1.32	1.31	1.37
3	1.22	1.25	1.33	1.28
4	1.26	1.25	1.22	1.21
5	1.29	1.23	1.34	1.15
6	1.31	1.25	1.24	1.26
7	1.24	1.26	1.24	1.18
8	1.28	1.26	1.19	1.29
9	1.28	1.22	1.27	1.20
10	1.14	1.19	1.18	1.15
11	1.20	1.21	1.20	1.21
12	1.25	1.17	1.20	1.24
13	1.26	1.25	1.30	1.22
14	1.24	1.19	1.22	1.21
15	1.36	1.18	1.36	1.16
16	1.25	1.15	1.29	1.15
17	1.30	1.32	1.29	1.23
18	1.29	1.34	1.20	1.37
19	1.20	1.24	1.14	1.23
20	1.26	1.28	1.25	1.29
21	1.17	1.30	1.15	1.30
22	1.28	1.25	1.21	1.26
23	1.19	1.16	1.25	1.27
24	1.23	1.24	1.23	1.22
25	1.22	1.23	1.26	1.23
26	1.24	1.25	1.16	1.20
27	1.32	1.19	1.25	1.19
28	1.25	1.21	1.21	1.22
29	1.17	1.17	1.29	1.29
30	1.14	1.14	1.35	1.24