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DS 412 TEST 1

Quiz yourself by thinking what should be in each of the black spaces below before clicking on it to display the answer.
        Help!  

Question
Answer
X-bar   Average, use past if offered bc already in control  
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R-bar   Range, use past if offered bc already in control (less accurate as sample size gets larger)  
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UCLx   (X-bar2) + A2*R-bar (for x-bar chart)  
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LCLx   (X-bar2) - A2*R-bar (for x-bar chart)  
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UCLR   D4*R-bar (for R-bar chart)  
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LCLR   D3*R-bar (for R-bar chart)  
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A2   on table dependent on sample, used in X-bar & R-bar chart  
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n   sample *do not confuse with sample size larger then 10  
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D3 & D4   used with R-bar chart, on table  
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Out of Control/Causal   past UCL/LCL, run, extreme jump/drop  
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σ   standard deviation  
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σx   σ/√n  
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Z   normal deviate (# of standard dev from average) or tolerance; closer to 6 (six sigma) more accurate. 2 if not really important, 3-life threatening/small difference is important  
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UCLx using σx   x-bar2 + Z*σx  
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LCLx using σx   x-bar2 - Z*σx  
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σp   √ p-bar (1-Pbar)/n  
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P-bar   # defects/#observations  
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UCLp   P-bar + Z*σp  
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LCLp   P-bar - Z*σp  
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Process Capability Index (Cpk)   use when target & x-bar not close MIN of [x-bar-Lower spec/3σ,Upper-x-bar/3σ  
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Process Capability Ratio (Cp)   Upp-Low Spec/6σ  
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Capable?   if not below 1.33  
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Variable   MEASURED/quantitative (weight, length, volume, time)*not used if specifications are complex/costly/difficult/unnecessary  
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Attribute   COUNTED/Qualitative (Yes/No) color,taste,smell,surface texture  
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Non-destructive sampling   100% sampling,if easy/not expensive ie software test comp speed  
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Destructive Sampling   costly, can't be reused  
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In Control (random)   1. No sample points outside limits 2. Most pts near process avg 3. Approx equal # pts above&below center 4. Randomly distributed around center 5. No extreme jumps 6. Cannot detect trend  
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Average σ = Average R (when...)   n=2  
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Type I error   Probability of searching for a cause when none exists  
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Type II error   Probability of concluding that nothing has changed  
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Errors controlled by...   Choice of control limits  
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+/- 1σ   68.26% normal distribution  
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+/- 2σ   95.44% normal distribution  
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+/- 3σ   99.97% normal distribution  
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