TOTAL QUALITY MANAGEMENT — DU B.Sc (hons) Statistics Previous Year Question Papers

Attempt five questions in all. Attempt three questions from Section A and one question from Section B. Required Statistical tables are attached with the paper. (b) | If there are 40 samples of size n = 3 and each of them are taken from a 9 manufacturing process where quality characteristic is normally distributed. (i) Estimate the process standard deviation. (ii) Find the 3o control limits for the x and R charts. (iii) If the specifications limits are 30L1.0030, estimate the fraction nonconforming. Q4(a) What are control charts for attributes? Derive control charts for proportion 9 defectives for variable sample size using variable control limit and standardized control limit methods. (b) A chemical process requires temperature to be maintained between 100°C and 9 110°C. The process operates at a mean of 105°C with a standard deviation of (i) Obtain the process capability index for this process and comment on the capability of the process. (ii) Find natural tolerance limits for the process. (ii) What change in o is required to make Cp=1.33? Q5(a) What is meant by acceptance number (c)? Discuss the choice between single sampling plan and double sampling plan for attributes. Give at least three situations where one is superior to other (b) Describe double sampling plan for attributes and obtain the expressions for 9 Producer risk and Consumer risk. Also obtain the expression for ASN and ATI for its rectifying plan. Q6(a) What is Lean Manufacturing? Explain the various tools and techniques of Lean 9 (b) Discuss various Six Sigma training plans. 9 Q7(a) Write the name of the four deliverables of the Define Phase and explain the key 9 elements of a Six Sigma Project Charter. (b) Explain various tools that can develop creative solutions based on generating alternatives in the Improve Phase of DMAIC. Cumulative Standard Normal Distribution Taken form a Book entitled "An introduction to SQC" by D.C. Montgomery Range chart D2 3.686 4.358 4.698 4.918 5.078 5.203 5.307 5.394 5.469 5.534 5.592 5.646 5.693 5.737 5.779 5.817 5.854 5.888 5.922 5.950 5.979 6.006 6.031 6.058 Range chart 1.121 1.285 1.359 1.426 1.490 1.548 1.606 1.659 1.710 1.759 1.804 Factors for central line 1.128 1.693 2.059 2.326 2.534 2.704 2.847 2.970 3.078 3.173 3.258 3.336 3.407 3.472 3.532 3.588 3.640 3.689 3.735 3.778 3.819 3.858 3.895 3.931