M.Com. (Semester III) (CBCS) Examination, 2017
ADVANCED STATISITCS (PAPER-III)
Industrial Statistics
Day Date: Tuesday, 18-04-2017 Max. Marks: 70
Time: 10.30 AM to 01.00 PM
N.B. All questions are compulsory.
Figures to the right indicate full marks.
Each questions carry equal marks.
Use of calculators is allowed.
Q.1 Choose the most appropriate alternative amongst the given for
each questions.
14
S.Q.C. stands for
Systematic Quality Control Statistical Quality Center
Statistical Quality Control None of these
Fluctuations in electric current is a
Chance cause Assignable cause
Controllable cause None of these
Use of Substandard raw Material is a
Chance cause Assignable cause
Un Controllable cause None of these
To control the quality of production, what is used?
Control chart Lot control
Acceptance sampling None of these
Control chart was Introduced by
George Dantizg Karl Pearson
Walter A Schwartz None of these
Which one of the following is a control chart for Attributes?
-chart R-chart p-chart None of these
How many control limits in a control chart?
3 4 5 None of these
To denote expected value of statistic, which control limit is used?
LCL CCL UCL None of these
"Mean 3 S.D." gives the
LCL CCL UCL None of these
Page 1 of 3
SLR-Q- 51
10) A production process is said to be out of control, if it is governed
by
Chance causes Assignable causes
Both a and b none of these
11) ASN Stands for
Actual Sample Number Average Sample Number
Already Sample Number None of these
12) Upper Control limit of R Chart is given by
13) To control the average value of statistic, which control chart B
to be used?
P chart np chart
chart None of these
14) Probability of accepting a lot of defective quality is called as
Producer's Risk Consumer's Risk
Operating Characteristics None of these
Q.2 Write short notes on 07
1. Chance Causes
2. Assignable Causes
What is the principle underlying in deciding the control limits
of control chart? Explain in details.
07
Q.3 Explain Acceptance Sampling for Attributes and define
the terms.
07
1. LTPD
2. AOQL
Each day a Sample of 50 items from a production process
was examined. The number of defectives found in each
sample was as follows
07
12, 3
Draw a suitable control chart and check for control.
Q.4 Attempt any one of the following. 14
What do you understand by SQC? Discuss briefly its need and
utility in industry.
Page 2 of 3
SLR-Q- 51
Give the construction of R charts. The following data
shows the values of samples mean and the range R for ten
samples of size 5 each. Calculate the values for central line and
control limits for mean chart and range chart and comment on
these about the status of process?
Sample
No. 1 2 3 4 5 6 7 8 9 10
Mean 11.2 11.8 10.8 11.6 11.0 9.6 10.4 9.6 10.6 10.0
Range 7 4 8 5 7 4 8 4 7 9
(Given A2 0.58, D3 D4 2.11)
Q.5 Attempt any one of the following. 14
Give the construction of P and np charts. State the differences
between them. Construct appropriate control chart.
Lot No. 1 2 3 4 5 6 7 8 9 10
No.
inspected 500 400 300 150 600 450 800 900 750 1000
No. of
defectives 25 42 35 16 15 40 81 82 72 100
Differentiate between defects and defective. Construct a control
chart for No. of defects.
The number of defects in 20 pieces of cloth each of 100 meters
length is given below.
10, 5
Draw C Chart and Comment.