Date post: | 29-May-2018 |
Category: |
Documents |
Upload: | prashil-desai |
View: | 218 times |
Download: | 0 times |
of 12
8/9/2019 BITS 1stSem08 09 Comprehensive Exam
1/12
8/9/2019 BITS 1stSem08 09 Comprehensive Exam
2/12
Question 1 (a)(i) Pareto Analysis reveals that the following are the important issues:
Pizza is late
Topping stuck to box lid
Wrong topping or combination
8/9/2019 BITS 1stSem08 09 Comprehensive Exam
3/12
Question 1 (a)
(ii) C&E Diagram should be used in the analysis stage after data analysis. Here, Pareto
Analysis has been done to identify the top 3 problems which contribute to nearly
80% of the problems. The C&E diagram is drawn thus.
Topping stuck to box lid Pizza is late
Wrong topping or combination
Pizza late delivery
OR
Wrong pizza delivery
8/9/2019 BITS 1stSem08 09 Comprehensive Exam
4/12
Question 1 (b)
Lot size = 1000; n=100; c=2
AQL = 0.01 ; Producers risk==0.05
LTPD=0.05; Consumers risk==0.10
We accept batches that are 2% nonconforming. The Probability of accepting a batch which is 2% (p=0.02) nonconforming is
Pa=0.6766. Producers risk here stands at 0.323324. At p=0.03, lot is rejected. Consumers risk (of accepting) is 0.42319.
AQL = 0.01 implies the lot is accepted/considered satisfactory upto p=0.01. Pa=.919699 which means producers risk is 1-
.919699= 0.080301 (=0.05 which is lesser than obtained value this implies producers risk is higher than specified)
LTPD=0.05 implies for p=0.05, the lot is rejected and Pa=.124652. The consumers risk (of accepting this bad lot) is .124652
(=0.10 which is lesser than obtained value which implies consumers risk is also higher)
8/9/2019 BITS 1stSem08 09 Comprehensive Exam
5/12
Question 2(b)
(i) Main problems are (accounting for 80% of issues)
Missing items
Furniture rubbed together while on truck
Late arrival for pickup
Broken Glass
Nicks and scratches from rough handling
8/9/2019 BITS 1stSem08 09 Comprehensive Exam
6/12
Question 2(b)
From the bar chart also, Missing Items, Furniture rubbed together, Late arrival and
broken glass account for majority of complaints
8/9/2019 BITS 1stSem08 09 Comprehensive Exam
7/12
Question 2(b)
(ii) The C&E Diagram can be drawn similar to the
solution in Q1(a) (ii).
Only the main causes (identified after paretoanalysis) must be included in the C&E Diagram
Missing Items Furniture rubbed together
Late arrival
Complaints
Broken Glass
8/9/2019 BITS 1stSem08 09 Comprehensive Exam
8/12
Question 3(a)
March Data: 8 out of 100 = 0.08 which is within control limits
8/9/2019 BITS 1stSem08 09 Comprehensive Exam
9/12
Question 3(b) (i)
A2, D3 and D4 can be obtained from the table given below
8/9/2019 BITS 1stSem08 09 Comprehensive Exam
10/12
Question 3 (b) (ii)
Long term process capability is
determined by Pp and Ppk
Process capability is lesser than the
targeted Ppk of 1.33
8/9/2019 BITS 1stSem08 09 Comprehensive Exam
11/12
Question 4(b) (i)
8/9/2019 BITS 1stSem08 09 Comprehensive Exam
12/12
Question 4 (b) (ii)
Cp=(USL-LSL)/6sigma
Here Cp=(.650-.550)/6*.012 = 1.388889
This implies the sigma level is 4.16 (Cp*3) Hence the process is capable of producing the
bottle.