The time needed for performing a machining operation is to be investigated. Historically, the process has had a standard deviation equal to 0.146 minutes. The means (in minutes) of 39 samples of n = 6 are: sample mean sample mean sample mean 1 3.86 14 3.81 27 3.81 2 3.90 15 3.83 28 3.86 3 3.83 16 3.86 29 3.98 4 3.81 17 3.82 30 3.96 5 3.84 18 3.86 31 3.88 6 3.83 19 3.84 32 3.76 7 3.87 20 3.87 33 3.83 8 3.88 21 3.84 34 3.77 9 3.84 22 3.82 35 3.86 10 3.80 23 3.89 36 3.80 11 3.88 24 3.86 37 3.84 12 3.86 25 3.88 38 3.79 13 3.88 26 3.90 39 3.85 the averagee of the 39-sample means is equal to 3.85. construct an xbar-chart for this process with two-sigma limits. Is the process in control?

The time needed for performing a machining operation is to be investigated. Historically, the process has had a standard deviation equal to 0.146 minutes. The means (in minutes) of 39 samples of n = 6 are: sample mean sample mean sample mean 1 3.86 14 3.81 27 3.81 2 3.90 15 3.83 28 3.86 3 3.83 16 3.86 29 3.98 4 3.81 17 3.82 30 3.96 5 3.84 18 3.86 31 3.88 6 3.83 19 3.84 32 3.76 7 3.87 20 3.87 33 3.83 8 3.88 21 3.84 34 3.77 9 3.84 22 3.82 35 3.86 10 3.80 23 3.89 36 3.80 11 3.88 24 3.86 37 3.84 12 3.86 25 3.88 38 3.79 13 3.88 26 3.90 39 3.85 the averagee of the 39-sample means is equal to 3.85. construct an xbar-chart for this process with two-sigma limits. Is the process in control?

Practical Management Science

6th Edition

ISBN:9781337406659

Author:WINSTON, Wayne L.

Publisher:WINSTON, Wayne L.

Chapter10: Introduction To Simulation Modeling

Section10.2: Probability Distributions For Input Variables

Problem 2P: Use Excels functions (not @RISK) to generate 1000 random numbers from a normal distribution with...

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sample	mean	sample	mean	sample	mean
1	3.86	14	3.81	27	3.81
2	3.90	15	3.83	28	3.86
3	3.83	16	3.86	29	3.98
4	3.81	17	3.82	30	3.96
5	3.84	18	3.86	31	3.88
6	3.83	19	3.84	32	3.76
7	3.87	20	3.87	33	3.83
8	3.88	21	3.84	34	3.77
9	3.84	22	3.82	35	3.86
10	3.80	23	3.89	36	3.80
11	3.88	24	3.86	37	3.84
12	3.86	25	3.88	38	3.79
13	3.88	26	3.90	39	3.85