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Homework 9

Submitted By jf17
Words 342
Pages 2
Homework #9
These will take some thought….FML

From Chapter 16:

PROBLEM 1

Thirty samples of size 4 of the customer waiting time at a call center for a health insurance company resulted in an overall mean of 10.4 minutes and average range of 0.9 minutes. Compute control limits for - and R-charts using formulas 16.3. For the R-chart: UCL = D4= 2.282*.9=2.0538 LCL = D3=0*.9=0 For the chart: UCL = + A2 = 10.4+.729(.9) = 11.0534 =11.05 LCL = - A2 = 10.4-.729(.9) = 9.7466 = 9.75

PROBLEM 2

One hundred insurance claim forms are inspected daily for 25 working days, and the number of forms with errors are recorded as in Exhibit 16.11(the one presented below I’m assuming). The p-chart is shown below Verify the Excel calculations of the control limits by hand using the formulas in the chapter. (This means show your calculations…) n=100 K=25 or 23 K=25 p-bar = .47 standard deviation =.0.04991 = S== = 0.04991 UCLp = + 3 S= 0.61973
-------------------------------------------------
LCLp = - 3 S= 0.32027 K=23 p-bar = .32 standard deviation =0.046648 = S== = 0.046648 UCLp = + 3 S= 0.459943 LCLp = - 3 S= 0.180057 Comment on the chart. Assume that samples 9 and 23 have attributal causes and can be excluded as one-time considerations.

PROBLEM 3

Suppose that a specification calls for LTL = 2.0 and UTL = 6.0. A sample of 100 parts found  = 4.3 and = 0.6. Compute Cp, Cpl, Cpu, and Cpk. Should the manager consider any action based on these results? What are the definitions of Cp, Cpl, Cpu, and Cpk ? Cp - relates the natural variation of the process with the design specifications in a single, quantitative measure.
Cpu – one-sided upper limit
Cpl – one-sided lower limit
Cpk – worst case and upper specs can be met regardless of where the process is centered.
Cp= = 1.11
Cpu= = .94
Cpl= =1.28
Cpk= min(Cpl, Cpu) = min (1.28,.94) = .94

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