M.Com (Semester III) (CBCS) Examination Oct/Nov-2017
ADVANCED STATISTICS
(Industrial Statistics)
Day Date: Thursday, 16-11-2017 Max. Marks: 70
Time: 10.30 AM to 01.00 PM
Instructions: All questions are compulsory.
Figures to the right indicate full marks.
Each questions carry equal marks.
Use of calculators is allowed.
Graph papers will be supplied on demand.
Q.1 Choose the alternatives given below. 14
S. Q. C. stands for?
Standard Quality Centre Statistical Quality Centre
Statistical Quality Control None of these
Variations in products due to vibrations of machine can be
Tolerable Untolerable
Cannot say anything None of these
Use of substandard raw material is which type of cause?
Chance cause Assignable cause
Uncontrollable cause None of these
Control chart has been developed by?
Hungarian Johnson
Walter A Schwartz None of these
A control chart contains how many control limits?
2 3
4 None of these
Control units of np chart are based upon which distribution?
Binomial Distribution Poisson Distribution
Normal Distribution None of these
Upper control limit of C Chart based upon a poisson distribution with
parameter is given by
3 1 − 3
3 1 None of these
If the sample size varies in different samples, then which one of the following
chart is preferred to measure no. of defectives?

None of these
If all the points on control chart lie within LCL and UCL then the production
process is said to be
Under control Out of control
Cannot say anything None of these
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10) The maximum and minimum limits of variation of individual items, as
mentioned in the product design are known as
Specification limits Control limits
Tolerance limits None of these
11) The limits of variation of a quality measure of the product between which at
least a specified proportion of the product is expected to lie, provided the
process is in a state of statistical control are called as,
Specification Limits Control Limits
Tolerance limits None of these
12) In S. Q. C. we may make use of
Statistical methods of sampling
Statistical methods of tests of significance
Both a and b
None of these
13) P[Rejecting a lot of sufficient good quality] is called as
Producer's risk Consumer's risk
ASN None of these
14) If the consumer is not willing to accept lots having proportion defective Pt or
greater, then Pt is called as,
OC LTPD
ATI None of these
Q.2 Explain chance causes and assignable causes. 07
Give the construction of C-Chart. What are the situations where C-Chart is
useful?
07
The no. of defects on 20 items are given below:
Item No. 1 2 3 4 5 6 7 8 9 10
No. of defects 2 0 4 1 0 8 0 1 2 0
Item No. 11 12 13 14 15 16 17 18 19 20
No. of defects 6 0 2 1 0 3 2 1 0 2
Q.3 Give the construction of p and np charts? What are the differences
between them?
07
Twenty sub-groups of five items each were taken in the measurement of an
important dimension of a manufactured part. The mean of the 20 group was
33.6" and the sum of the ranges of the sub group was 124". Find the control
limits of and R Charts.
07
(Given: for n A2=0.58, D3= D4 2.11)
Q.4 Attempt any one of the following. 14
What is a S. Q. C.? What type of role control chart plays in S. Q. C.? Give
various advantages of S.Q.C.
State various types of control charts. Give the construction of and R charts.
The following data give readings for 10 samples of size 5 in the production of
certain components.
Sample No. 1 2 3 4 5 6 7 8 9 10
Mean 383 508 505 582 557 337 514 614 707 753
Range R 95 128 100 91 68 65 148 28 37 80
Draw the control chart for and R from the above data and comment on your
findings. (Given: for n A2 0.58, D4-2.11)
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Q.5 Attempt any one of the following. 14
Define the terms:
AOQL
ASN
LTPD
OC
Explain the various differences between Natural Tolerance limits and
specification limits.