M.Com. (Semester III) Examination, 2017
ADVANCED STATISITCS (Paper-III)
Industrial Statistics
Day Date: Tuesday, 18-04-2017 Max. Marks: 50
Time: 10.30 AM to 12.30 PM
N.B. All questions are compulsory.
Figures to the right indicate full marks.
Each questions carry equal marks.
Use of soundless calculators is allowed.
Q.1 Choose the most appropriate alternative amongst the given for
each questions.
10
Variations due to which causes are also called as allowable
variations?
Chance causes Assignable causes
Both a and b None of these
Variations due to negligence of operators are of which type?
Chance causes Assignable causes
Both a and b None of these
Process control is achieved through the technique of
Sampling inspection Control chart
Specification limits None of these
Control charts were made by
Dr. Walter A. Schwartz Tippet
Fisher None of these
Control limits of np-chart are based on
Normal distribution Poisson distribution
Binomial distribution None of these
The fraction defective of the lot after inspection is called as
Incoming quality Outgoing quality
OC None of these
The expected value of the sample size required for coming to a
decision about the acceptance or rejection of the lot in acceptance
rejection sampling plan is known as
ATI AOQL ASN None of these
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SLR-Q 29
10) If the lot is accepted on the basis of the sampling inspection plan
then
ATI ASN ATI ASN
ATI ASN None of these
Q.2 State various benefits of SQC. 05
Give the construction of C-Chart for the following data. 05
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 Define the terms. 05
1. AOQL
2. OC Curve
3. ASN
Write a short note on Control Charts for attributes.
05
Q.4 Attempt any one of the following. 10
What is a Control Chart? On what basis the control limits are
based? When we way a production process is under control out
of control?
Give the construction of and R charts and also solve the
following example.
A machine is set to deliver the packets of a given weight. Ten
samples of size five each were examined and the following results
were obtained.
Sample
No. 1 2 3 4 5 6 7 8 9 10
Mean 43 49 37 44 45 37 51 46 43 47
Range 5 6 5 7 7 4 8 6 4 6
Calculate the control limits for R Charts. Draw the charts
and comment. (Given: for n d2 2.326, d3 0.864)
Q.5 Attempt any one of the following. 10
Compare Natural Tolerance Limits and Specification Limits.
The following are the figures of defectives in 22 lots each
containing 2,000 rubber belts:
425, 430, 216, 341, 225, 322, 280, 306, 337, 305,356
402, 216, 264, 126, 409, 193, 326, 280, 389, 451, 420
Draw control chart for fraction defective and comment on it.