5-3

Prepare a run diagram for this emergency call data. Use five minute intervals (i.e., count the calls received in each five-minute interval. Use 0 to 4, 5 to 9, , etc.). Note two or more calls may occur in the same minute: there were three operators on duty this day. What can you conclude from the run chart? Hint: 1:00-1:04 would be the first interval.

Call	Time
1	1:03
2	1:06
3	1:09
4	1:11
5	1:12
6	1:17
7	1:21
8	1:27
9	1:28
10	1:29
11	1:31
12	1:36
13	1:39
14	1:42
15	1:43
16	1:44
17	1:47
18	1:48
19	1:50
20	1:52
21	1:53
22	1:56
23	1:56
24	2:00
25	2:00
26	2:01
27	2:02
28	2:03
29	2:03
30	2:04
31	2:06
32	2:07
33	2:08
34	2:08
35	2:11
36	2:12
37	2:12
38	2:13
39	2:14
40	2:14
41	2:16
42	2:19

5-4:

Use the following data to construct one mean (x-bar) chart and one range chart (R-chart). Is the process in control?

				(Ounces, oz)
	Sample #	a	b	c	d	e	f
	1	19.47	21.21	20.51	21.19	21.21	22.00
	2	21.43	21.05	21.46	21.48	21.05	21.07
	3	20.11	21.37	19.89	20.18	21.37	19.98
	4	20.90	20.88	20.59	21.10	20.88	20.22
	5	21.24	20.41	20.15	21.50	20.41	19.52
	6	20.75	20.81	21.43	21.34	20.81	20.97
	7	20.50	21.41	21.12	20.10	21.41	19.67
	8	21.34	21.50	21.75	21.45	21.50	21.84
	9	20.01	19.90	20.67	20.90	19.90	20.76
	10	20.90	20.12	20.82	20.73	20.12	21.33
	11	21.12	21.10	20.13	20.71	21.10	20.86
	12	20.72	21.33	22.04	21.39	21.33	19.65
	13	21.49	21.34	21.18	21.50	21.34	21.38
	14	21.50	21.19	21.34	20.19	21.19	20.54
	15	20.46	20.19	20.57	21.03	20.19	21.01
	16	20.37	20.08	21.00	20.87	20.08	20.67
	17	20.28	21.10	20.47	20.59	21.10	20.46
	18	20.45	20.52	21.47	21.41	20.52	20.37
	19	21.29	21.35	21.29	21.28	21.35	20.28
	20	20.33	21.20	20.25	20.98	21.20	20.45
	21	21.22	21.00	20.56	20.54	21.00	21.29
	22	22.00	19.52	20.76	21.38	19.52	20.33