A Battery manufacturer has recently received complaints from retailers that its 9-volt batteries are not lasting as long as other name brands. Jabu Xulu, the Quality executive believes that there is no problem because his batteries have had an average life of 50 hours, which is about 10% longer than competitor’s modes. To raise the lifetime above this level would require a new level of technology not available to this battery manufacturer. Nevertheless, he is concerned enough to set up hourly assembly line checks. Previously, after ensuring that the process was running properly, the company collected samples data of 9-volts batteries. Those samples are shown in the table following table: Hours (S A M PL E) 1 2 3 4 5 1 51 50 49 50 50 2 45 47 70 46 36 3 50 35 48 39 47 4 55 70 50 30 51 5 49 38 64 36 47 6 59 62 40 54 64 7 36 33 49 48 56 8 50 67 53 43 40 9 44 52 46 47 44 10 70 45 50 47 41 11 57 54 62 45 36 12 56 54 47 42 62 13 40 70 58 45 44 14 52 58 40 52 46 15 57 42 52 58 59 16 62 49 42 33 55 17 40 39 49 59 48 18 64 50 42 57 50 19 58 53 52 48 50 20 60 50 41 41 50 21 52 47 48 58 40 22 55 40 56 49 45 23 47 48 50 50 48 24 50 50 49 51 51 25 51 50 51 51 62 26 48 52 39 57 61 27 45 53 48 46 66 28 63 49 50 45 53 29 57 70 45 52 61 30 45 38 46 54 52 Draw the appropriate control charts. Has the manufacturing process been in control? Why?

Practical Management Science

6th Edition

ISBN:9781337406659

Author:WINSTON, Wayne L.

Publisher:WINSTON, Wayne L.

Chapter2: Introduction To Spreadsheet Modeling

Section: Chapter Questions

Problem 20P: Julie James is opening a lemonade stand. She believes the fixed cost per week of running the stand...

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A Battery manufacturer has recently received complaints from retailers that its 9-volt batteries are not lasting as long as other name brands. Jabu Xulu, the Quality executive believes that there is no problem because his batteries have had an average life of 50 hours, which is about 10% longer than competitor’s modes. To raise the lifetime above this level would require a new level of technology not available to this battery manufacturer. Nevertheless, he is concerned enough to set up hourly assembly line checks. Previously, after ensuring that the process was running properly, the company collected samples data of 9-volts batteries. Those samples are shown in the table following table:

Hours	(S	A	M	PL	E)
	1	2	3	4	5
1	51	50	49	50	50
2	45	47	70	46	36
3	50	35	48	39	47
4	55	70	50	30	51
5	49	38	64	36	47
6	59	62	40	54	64
7	36	33	49	48	56
8	50	67	53	43	40
9	44	52	46	47	44
10	70	45	50	47	41
11	57	54	62	45	36
12	56	54	47	42	62
13	40	70	58	45	44
14	52	58	40	52	46
15	57	42	52	58	59
16	62	49	42	33	55
17	40	39	49	59	48
18	64	50	42	57	50
19	58	53	52	48	50
20	60	50	41	41	50
21	52	47	48	58	40
22	55	40	56	49	45
23	47	48	50	50	48
24	50	50	49	51	51
25	51	50	51	51	62
26	48	52	39	57	61
27	45	53	48	46	66
28	63	49	50	45	53
29	57	70	45	52	61
30	45	38	46	54	52

Draw the appropriate control charts.
Has the manufacturing process been in control? Why?

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