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PG-851
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I Semester M.B.A. Degree Examination, January/February 2015
(CBCS) (2014 - 15 & Onwards)
Paper 1.4: STATISTICS FOR MANAGEMENT
Time: 3 Hours
Max. Marks : 70
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Instruction: Statistical tables and calculators are allowed.
SECTION-A
Answer any five of the following questions. Each question carries five marks.
Answers to theoretical questions should not exceed 250 marks.
(5x5=25)
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- What is sampling? Discuss different sampling techniques and their relevance in statistical inference.
- The data given below pertains to the patients admitted into a corporate Hospital during the years 2007 and 2013. Fit a straight line trend by the method of least squares and estimate the number of patients for the years 2014 and 2015. A graph is not necessary
Years 2007 2008 2009 2010 2011 2012 2013 Patients in lakhs 19 21 25 29 26 27 32 - Define the following concepts:
- Null hypothesis and alternative hypothesis.
- One Tailed and Two Tailed tests.
- Point estimation and internal estimation.
- Type I and Type II errors.
- Confidence limits.
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- A survey of 500 students yielded the data given below: Using Chi-square analysis and assuming a 5% significance level, find whether mentoring has an impact on the performance index.
Performance Index Mentoring done No mentoring Total Very high 200 50 250 Average 150 50 200 Very low 25 25 50 375 125 500 - Illustrate and explain the concept of Kurtosis with suitable diagrams. Also illustrate and explain the concept of skewness and state the formulae for the absolute and relative measures of skewness.
- A company wants to select a team leader from among the following candidates :
- Male, age 40
- Male, age 43
- Female, age 38
- Female, age 29
- Male, age 39
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- Either male or aged above 41 years?
- Either female or aged below 35 years.
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- What are non parametric tests? Discuss with suitable examples the different non parametric tests and state their relevance.
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SECTION-B
Answer any three questions. Each question carries ten marks.
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(3x10=30)
- What are the different measures of central tendency? Explain their merits and demerits.
- What are the applications of operations research in Business Management?
- A sample of 100 is drawn from a population with a mean of 75 and a standard deviation of 8. Find
- The probability that the sample mean will not differ from the population mean by more than 1.
- The probability that the sample mean will not differ from the population mean by more than 2.
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- The weekly wages of 2000 workers are normally distributed. Its Mean and Standard Deviation are Rs. 140 and Rs. 20 respectively. Estimate the number of workers whose weekly wages will be
- Between Rs. 120 and Rs. 130
- More than Rs. 170
- Less than Rs. 165
- Between Rs. 135 and Rs. 145
- Between Rs. 138 and Rs. 150.
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SECTION-C
This is a compulsory Section.
(1x15=15)
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- In a class of 10 students the marks scored in the subjects of Sociology and Mathematics are listed as below. From the data find
- The two regression coefficients
- The two regression equations
- The most likely marks in Statistics when marks in Economics are 80
- The most likely marks in Economics when marks in Statistics are 60
- Also find the Correlation Coefficient between them:
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Marks in Sociology 85 77 65 51 82 48 91 42 72 58 Marks in Mathematics 77 81 55 62 66 65 88 49 69 70
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