M.Sc. (Semester IV) (CBCS) Examination Nov/Dec-2018
Statistics
INDUSTRIAL STATISTICS
Time: 2½ Hours Max. Marks: 70
Instructions: Attempt five questions.
Q. No. 1 and Q. No. 2 are compulsory.
Attempt any three questions from Q. 3 to 7.
Figures to the right indicate full marks.
Q.1 Select the correct alternative: 05
is helpful in searching the root-cause of a problem.
Flow chart Control chart
Check sheet Fishbone diagram
Generally, in process control cost of production is as compared
to that in product control.
high low
almost the same exactly the same
CUSUM and EWMA charts are developed specially for detecting
shifts efficiently.
small large
both small and large none of b and c



is not the dimension of quality.
Aesthetics Features
Durability Cost
Fill in the blanks: 05
Quality is inversely proportional to
increases as variability
is a graphical SPC tool that visualizes the most significant
problem to be worked out first.
The objective of phase II of a control chart is
PDCA cycle is proposed by
State true or false: 04
Warning limits increases probability of false alarms.
1 corresponds to nonconforming 27 ppm.
In process control, no changes are made in process settings.
chart is preferred over chart if the sample size is large.
Q.2 Answer the following: 06
Describe double sampling plan.
Describe V-mask CUSUM procedure.
Write short notes on the following: 08
Control chart and hypothesis testing
Process capability analysis
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Q.3 Define statistical quality control. Describe product control and process
control.
07
Describe construction, operation, and the underlying statistical principle of
and charts.
07
Q.4 Obtain an unbiased estimator and confidence interval for process capability
index based on sample of size drawn on the quality characteristic.
07
Define process capability index with the necessary underlying
assumptions. State and prove its relationship with the probability of
nonconformance.
07
Q.5 Describe construction and operation of EWMA control chart for monitoring
process main.
07
Describe construction, operation, and the underlying statistical principle of
Hotelling's chart.
07
Q.6 Describe sampling inspection plan by variables when lower specification limit
is given and the standard deviation is not known.
07
Describe single attribute sampling inspection plan based on binomial
distribution.
07
Q.7 Describe DMAIC cycle. 07
Explain the algorithm for simulation of and charts for evaluating their
performances.