3. (40pts) You have been hired as a quality control engineer for a summer intern

Question

3. (40pts) You have been hired as a quality control engineer for a summer internship at a company that manufactures capacitors. In order to assess the quality of the capacitor manufacturing process, you select random samples of capacitors and measure the capacitance of each unit using a standardized testing procedure. You pick 20 capacitors at random for sample X1, 20 capacitors at random for sample X2, etc., up to sample X25. See 'Capacitors.xls' for the data. You assume random error in your measurements. a) Report the average of all the means ž and the standard deviation of all the means sg b) Estimate the mean and population standard deviation c) Report the mean and the 95% confidence interval of the population When your company ships the capacitors, it is accompanied by the specifications determined from your measurements. For this particular batch, the manufacturer reported nominal capacitance is 12 F d) What is the accuracy of the manufacturing process? e) Your company wants to make sure that capacitors that are shipped out are within ± 20% of the nominal capacitance of 12F. What is the probability that capacitors are within this tolerance? Compare this number with the actual number of capacitors outside the 20% tolerance (hint: Use the IF statement in Excel to set a conditional outcome, e.g f) g h) IF(X>0&X-1;, 1,0) will report '1, if 0

Explanation / Answer

Mean of x1=13.91,x2=14.625,x3=13.64,x4=17.195,x5=15.79,x6=16.95,x7=15.225,x8=15.23,x9=15.23,x10=16.07,x11=17.24,x12=16.92,x13=17.885,x14=14.23,x15=15.23,x16=15.96,x17=15.17,x18=15.31,x19=14.95,x20=15.15,x21=15.64,x22=13.68,x23=15.32,x24=14.55,x25=14.37

(A)=Average of mean x=15.41,now calculating standard deviation then d^2=7131.15

And standard deviation is 3.77 {square root of d^2/N}

(B)= population deviation is 3.78

(C) mean was 15.41

(D) Accuracy of manufacturing process =(x-12)*100/12

=18%

(E)probability =42% {possible values/total no}

Related Questions

Navigate

• Browse (All)
• Browse 3
• Subjects

---

---

Integrity-first tutoring: explanations and feedback only — we do not complete graded work. Learn more.