Karnataka State Open University (KSOU) 2009 Diploma Statistics Practical - - Question Paper
Diploma in Statistical Process Control and Operations Research (DSPCOR) Examination, August 2OO9 PRACTICAL
Time : 3 Hours Max. Marks : 90
Instructions x I) Answer any three main questions.
2) Each question carries 30 marks.
1. a) Represent the following data by component bar diagrams :
Cost per scooter on items 1990 2OOO
Raw material 2,000 3,000
Labour 540 1,275
Direct Expenses 360 930
Factory Expenses 500 840
Office Expenses 280 750
b) Draw a histogram for the following data and find the mode. Verify the mode by formula method.
in OOO Rs. : 11-13 13-15 15-17 17-19 19-21 21-23 23-25 No. of workers: 6 53 85 56 21 16 8
2. a) For 50 airplanes that arrived late at an airport during the first week, the time by which they were late was observed.
Time (min.) : 0-20 20-40 40-60 60-80 80-100
No. of airplanes : 14 18 09 05 04
Find the Mean and the Median. Hence find the value of the mode using empirical relation.
b) Calculate Bowleys co-efficient of skewness for the following data :
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Marks |
No. of Students |
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Above 0 |
180 |
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Above 15 |
160 |
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Above 30 |
130 |
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Above 45 |
100 |
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Above 60 |
65 |
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Above 75 |
20 |
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Above 90 |
5 |
3. a) The runs scored by two cricketers A and B in 10 ODI Cricket matches are given below :
Cricketers A : 44 67 58 34 62 100 73 98 112 94
Cricketers B : 24 76 58 34 68 120 72 68 102 84 Discuss : i) Who has better average score ?
ii) Who is more consistent ?
b) Two judges A and B in a beauty contest rank the 10 competitors in the following order :
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What is Spearmans rank correlation ? |
4. a) The ESR (erythrocyte) sedimentation rate (mm/hour) of 15 male and
10 female is given below. Test the significance of the difference in the means at 5% level of significance.
Males : 65, 60, 115, 82, 43, 103, 125, 118, 83, 75, 90, 95, 95, 128, 65, 84.
Females : 63, 85, 90, 100, 90, 105, 98, 93, 100 and 125.
b) The following table gives the classification of 200 fishes according to the sex and the helminth infection. Test whether infection is independent of the sex of the fish.
Males 65 45
Females 35 55
5. a) Nominal 100 watt electric light bulbs are being manufactured by an automatic
machine. 10 random samples each of 4 bulbs, were tested to determine accurately thin electrical power consumption, with the following results :
Sample no. :1 23456 78 9 10
Mean: 0.55 0.15 0 0 -0.01 -0.05 4.00 0.20 0.115 0.35
Range : 1.0 0.9 1.1 2.0 1.1 0.6 1.3 0.9 0.6 1.8
Construct mean and range charts and indicate whether the process is under control.
b) A large number of samples of 200 items each taken from a process that has a percentage non-conforming of 10%. A production order for 12 days are given below. Analyze the data on a np-chart.
order no. : 12 3 4 5 6 7 8 9 10 11 12 L of size : 200 200 200 200 200 200 200 200 200 200 200 200 Number of
rejects : 23 15 17 15 41 0 25 31 23 0 8 16
6. a) Solve the following by graphical method.
Minimize Z a 1,5 Xj + 2.5 X2 Subject to Xj + 3Xp > 2 X1 + X2 > 2 Xj, X2 > 0
b) A company has 6 jobs to be done on 6 machines ; any job can be done on any machine. The time in hours taken by the machine for the different jobs are as given below. Assign the machines to jobs so as to minimize the total machine hours.
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Jobs | |||||||||||||||||||||||||||||||||||||||||||||||||
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Attachment: |
| Earning: Approval pending. |
