What value for standard deviation would you need

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Reference no: EM132459276

Graded Exercise: Tolerance Analysis

Section 1

Problem 1

Which of the following tolerance analysis methods is based on the additive theorem of variance and is used to predict the resultant assembly stack-up of component tolerances (or combination of process steps)?

a. Top Down Worst Case Stacking
b. Bottom Up Worst Case Stacking
c. Bottom Up Statistical Stacking
d. Trial and Error Method

Problem 2

Suppose you have a process with a specification of 30 + 10 min with a current Cpk = 0.5. Assuming you already are able to get the mean = nominal, what value for standard deviation would you need to reduce in order to have both Cp andCpk equal to 1.33?
a. 1.6
b. 2.5
c. 4.4
d. 10

Section 2. Tolerance Analysis

An insurance claims provider has three main process steps. For each step, they have identified the specifications listed below. (Note: Assume that the times for each individual process step are independent and follow a normal distribution). Goal is Cp=Cpk = 1.33.

Step 1: 10 + 2 min
Step 2: 8 + 1 min
Step 3: 9 + 3 min

Y = Step1 + Step2 + Step3

Problem 3

Given the specifications for each process step, which of the following stack-up tolerance would you predict if you assume that at some point, the extreme (worst case) condition of each step will occur?

a. 0 + 6
b. 0 + 3.7
c. 27 + 6
d. 27 + 3.7

Problem 4

Given the specification for each process step, predict the final standard deviation (combined steps) if the individual process steps are based on an ability to achieve a Cp=Cpk = 1.33 where each step is assumed Normally Distributed and in statistical control.

a. 0.5
b. 0.94
c. 1.5
d. 3.74

Reference no: EM132459276

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