Solapur University Question Paper,M.Com. (Part – II/Semester – III),ADVANCED STATISTICS (Paper – III) (Gr. K),2014 Question Paper

Solapur University  Question Paper
M.Com. (Part – II/Semester – III) Examination, 2014
ADVANCED STATISTICS (Paper – III) (Gr. K)
Industrial Statistics
Day and Date : Thursday, 24-4-2014 Max. Marks : 50
Time : 11.00 a.m. to 1.00 p.m.
Instructions : 1) All questions are compulsory.
2) Figures to the right indicate full marks.
3) Use of calculators is allowed.
4) Graph papers will be supplied on request.
1. Choose the most appropriate alternative amongst the available for each question. 10
I) Negligence of operators is which type of cause ?
a) chance cause b) assignable cause
c) fixed cause d) none of these
II) Which cause can result in a large amount of variation ?
a) chance cause b) assignable cause
c) fixed cause d) none of these
III) The course of quality control was set by the work of
a) Dodge and Romig b) Walter A. Shewhartz
c) George Dantizg d) None of these
IV) Process control is achieved by means of
a) sampling inspection process
b) control chart
c) complete enumerative Inspection plans
d) none of these
V) A control chart contains how many number of horizontal lines ?
a) 2 b) 3 c) 4 d) none of these
SLR-N – 53 -2-
VI) Which one of the following is a control chart for variables ?
a) p – chart b) np – chart
c) X – chart d) none of these
VII) Control limits of np-chart are based upon which probability distribution ?
a) Binomial b) Poisson
c) Normal d) None of these
VIII) The probability of accepting a lot with fraction defective pt is termed as
a) Producer’s risk b) Consumers risk
c) LTPD d) None of these
IX) The quality level which the consumer regards as rejectable is called as
a) Lot Tolerance Percentage Defective (LTPD)
b) Rejecting Quality Level (RQL)
c) Consumer’s risk
d) None of these
X) The expected value of the sample size required for coming to a decision
about the acceptance or rejection of the lot in sampling inspection plans is
termed as
a) ASN b) LTPD c) RQL d) None of these
2. A) What is a S.Q.C. ? Explain. 5
a) Chance causes
b) Assignable causes
B) What are the situations, where C-chart is useful ? Give the construction of
C-chart. The number of defects in 20 pieces of cloth each of 100 meters
length is given below : 5
1, 3, 3, 1, 6, 4, 3, 7, 10, 2, 2, 6, 4, 3, 2, 1, 5, 6, 4, 4.
Draw the appropriate chart and say whether the process can be considered
to be in control.
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3. A) Explain the terms : 5
1) ASN
2) LTPD
3) Consumer’s risk.
B) Each day a sample of 50 items from a production process was examined.
The number of defectives found in each sample was as follows : 5
6, 2, 5, 1, 2, 2, 3, 5, 3, 1, 2, 4, 4, 1, 3, 5, 4, 1, 4, 3, 5, 4, 2, 3, 6.
Draw a suitable control chart and check for control.
4. Attempt any one of the following : 10
A) Explain the terms :
i) Control Limits
ii) Natural Tolerance Limits
iii) Specification Limits.
Give the comparison between these.
B) Give the construction of X and R-charts. 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 65 7 7 4 86 4 6
Calculate control limits for X and R-charts. Draw these charts and comment
on these.
5. Attempt any one of the following : 10
A) What is a double sampling plain ? Explain it in detail with suitable flow-chart.
B) For a double sampling plan : N = 2000, n1 = 100 ; n2 = 150 ; C1 = 1 ; C2 = 4.
a) Draw OC Curve
b) Draw ASN Curve
C) Find the average amount of inspection per lot for lots having 3% defectives.
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