4.
Xbar of sample 1=AVERAGE(B4:F4)=23.2
(Drag this cell formula down for rest of the samples)
Process mean=Xbar bar=Average of all the Xbar values=AVERAGE(G4:G9)=25.10
Range of sample 1=MAX(B4:F4)-MIN(B4:F4)=4
(Drag this cell formula down for rest of the samples)
Rbar=Average of all the range values=AVERAGE(H4:H9)=4.17
From the control constants table ,for n=5 ,A2=0.577,D3=0 ,D4=2.115
In X chart ,
UCLx=X-bar bar +A2*Rbar=D12+H13*D11=27.50
LCLx=X-bar bar -A2*Rbar=D12-H13*D11=22.70
Xbar of sample 7=(28+20+29+19+27)/5=24.6
Xbar of sample 8=(15+34+36+14+26)/5=25
Since the xbar values of sample 7 and 8 lie within the control limits and hence the process is in control.
5.In P chart,
we first calculate p-bar i.e the center line
p-bar =Average of the fraction defectives =AVERAGE(E3:E7)=0.10
Next, we calculate Sp =sqrt(p-bar(1-p-bar)/n))
=sqrt(0.10*(1-0.10)/100))
=0.03
UCLp =p-bar+z *Sp=0.10+3*0.03=0.184
LCLp=p-bar-z*Sp=0.10-3*0.03=0.008
Calculations are as shown below:
4) Now that Continental can detect more defects before the Silver Box is shipped, I decided...
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thanks! :) Formulas for Questions 24-27 Upper control in. UCL= 1 + 20 Lower control it. LCL - P - 20% where p mean traction detective in the sample 2 of normal standard deviations for 99.73%) standard deviation of the sampling distribution /P(1-P) size of each sample size of each sample Table 2. A manufacturer of precision machine parts produces a specialty bracket. They inspected random samples with 70 brackets per sample a total of 600 brackets and checked each...
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