Homework 8 -solutions

# Homework 8 -solutions - Homework #8 Solutions 1. Problem...

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10-1 Homework #8 Solutions 1. Problem 10.1 ˆˆ 2.530, 15, 101.40 2.297, 9, 60.444 1.815, 18, 75.333 1.875, 18, 50.111 A A A B B B C C C D D D n n n n  Standard deviations are approximately the same, so the DNOM chart can be used. ˆ 3.8, 2.245, 3 Rn x chart: CL = 0.55, UCL = 4.44, LCL = 3.34 R chart: CL = 3.8, UCL = 4 DR = 2.574 (3.8) = 9.78, LCL = 0 Stat > Control Charts > Variables Charts for Subgroups > Xbar-R Chart Process is in control, with no samples beyond the control limits or unusual plot patterns.

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10-2 2. Problem 10.2 Since the standard deviations are not the same, use a standardized x and R charts. Calculations for standardized values are in: Excel : workbook Chap10.xls : worksheet : Ex10.2. 3 4 2 4, 0, 2.282, 0.729; 19.3, 44.8, 278.2 A B C n D D A R R R Graph > Time Series Plot > Simple Process is out of control at Sample 16 on the x chart.
10-3 3. Problem 10.5 Excel : Workbook Chap10.xls : Worksheet Ex10.5 There is no situation where one single head gives the maximum or minimum value of x six times in a row. There are many values of x max and x min that are outside the control limits, so the process is out-of-control. The assignable cause affects all heads, not just a specific one. Grand Avg = 52.988 Avg R = 2.338 s = 4 heads n = 3 units A2 = 1.023 D3 = 0 D4 = 2.574 Xbar UCL = 55.379 Xbar LCL = 50.596 R UCL = 6.017 R LCL = 0.000

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10-4 4. Problem 10.7* (a) Excel : Workbook Chap10.xls : Worksheet Ex10.7A See the discussion in Exercise 10.5. Grand Avg = 52.988 Avg MR = 2.158 s = 4 heads n = 2 units d2 = 1.128 D3 = 0 D4 = 3.267 Xbar UCL = 58.727 Xbar LCL = 47.248 R UCL = 7.050 R LCL = 0.000
10-5 10.7 continued (b) Excel : Workbook Chap10.xls : Worksheet Ex10.7b The last four samples from Head 4 remain the maximum of all heads; indicating a potential process change.

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## This note was uploaded on 02/14/2012 for the course IE 530 taught by Professor Ravindran during the Spring '97 term at Purdue University-West Lafayette.

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Homework 8 -solutions - Homework #8 Solutions 1. Problem...

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