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768
I Semester M.B.A. Degree Examination, January/February 2018
(CBCS) (2014-15 and Onwards)
MANAGEMENT
Paper - 1.4: Statistics for Management
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Time: 3 Hours Max. Marks : 70
Instruction: Calculators and statistical tables are allowed.
SECTION - A
Answer any five questions from the following. Each question carries five marks (5x5=25)
- Briefly explain with illustrations how tables and graphs may be used to present data.
- Explain the concepts of skewness and kurtosis with suitable illustrations.
- Calculate the straight line trend through method of least squares for the data given below :
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| Year | 2013 | 2014 | 2015 | 2016 | 2017 |
|---|---|---|---|---|---|
| Production in M.T | 210 | 225 | 235 | 230 | 235 |
Also find the production figures of 2018 and 2019.
- Using the Chi Square Test, determine whether the medicine given to cattle was effective or not.
| Took Medicine | Did not take Medicine | Total | |
|---|---|---|---|
| Fell ill | 150 | 230 | 380 |
| Did not fall ill | 375 | 420 | 795 |
| Total | 525 | 650 | 1175 |
You may use a 5 percent level of significance.
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- Use the coefficient of variation to determine which of the 2 students are consistent in performance
| Details | Maths | Science | History | Geography |
|---|---|---|---|---|
| Student A | 55 | 65 | 80 | 70 |
| Student B | 93 | 87 | 30 | 40 |
- What is meant by sampling? Explain the different methods of sampling.
- A company manufactures metal boxes. The monthly production is 4500 boxes. If the average diameter of the boxes is 6 cm and the standard deviation is 3 cm, find
- How many boxes have a diameter between 9 cm and 12 cm.
- How many boxes have a diameter between 5 cm and 2 cm.
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SECTION - B
Answer any 3 questions. Each carries 10 marks. (3x10=30)
- A businessman has 2 options for investment
Option A: He can open a restaurant for Rs. 10,00,000. He can expect success with a cash inflow of Rs. 14,00,000 at a probability of 75 per cent. If he fails, he can still salvage Rs. 6,00,000.
When he succeeds he can open a fast food kiosk for Rs. 7,00,000. The chances of success are 80 per cent with a cash inflow of Rs. 6,00,000. If he fails, he loses Rs. 1,00,000.
Option B: He can open a Gym for Rs. 12,00,000. The chances of success are 60 per cent with a cash inflow of Rs. 8,00,000. If he fails, he can still salvage Rs. 6,00,000.
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You are expected to
- Draw a decision tree.
- Construct a pay off table and state your decision as to which option is profitable for the businessman.
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PG-768
- Find Fischer's ideal index for the following data and prove that it satisfies the factor reversal and time reversal tests.
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| Components | P0 | Q0 | P1 | Q1 |
|---|---|---|---|---|
| Rice | 40 | 50 | 10 | 12 |
| Wheat | 45 | 55 | 9 | 10 |
| Oil | 70 | 75 | 10 | 11 |
| Fuel | 80 | 90 | 12 | 15 |
| Clothing | 30 | 40 | 15 | 20 |
- Explain in detail the process of setting up and testing a hypothesis. You are expected to explain with suitable illustrations all the involved concepts.
- A common exam was taken by 3 students in four different cities. Using the ANOVA test, decide whether there is a significant difference in the academic performance of the students in different cities
| Cities/Students | Marks of Student A | Marks of Student B | Marks of Student C |
|---|---|---|---|
| City One | 60 | 45 | 55 |
| City Two | 70 | 65 | 85 |
| City Three | 75 | 55 | 90 |
| City Four | 45 | 75 | 75 |
You may use a 5 per cent level of significance.
SECTION - C
Compulsory case study. (1x15=15)
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- For the data given herein, you are required to :
- Find the coefficient of correlation
- Find the probable error and comment on the significance of correlation.
- Find the regression equations.
- Find Y when X = 50 and find X when Y = 45.
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| X | 40 | 55 | 60 | 80 | |
|---|---|---|---|---|---|
| Y | 42 | 58 | 67 | 73 | 90 |
This download link is referred from the post: BU MBA Last 10 Years 2010-2020 Previous Question Papers || Bangalore University (1st, 2nd, 3rd & 4th Sem)
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