Bangalore University MBA Statistics for Management I Semester February 2019 Question Paper solution

Bangalore University MBA STATISTICS Question Paper solution 2019
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Briefly explain with illustrations how tables and graphs may be used to present data.
Explain the concepts of skewness and kurtosis with suitable illustrationsCalculate the straight line trend through the method of least squares for the data given below :
Also find the possible production figures of 2018 and 2019.
Using the Chi Square Test, determine whether the medicine given to cattle was effective or not.
You may use a 5 percent level of significance
what is sampling explain 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.
Illustrate every answer with a suitable diagram.
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. 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.
Find Fischer's ideal index for the following data and prove that it satisfies the factor reversal and time reversal tests.
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
You may use a 5 per cent level of significance.
Explain in detail the process of setting up and testing a hypothesis. You are expected to explain with suitable illustrations all the involved concepts.
Role of statistics: Applications of statistics in managerial decision-making; Phases of a statistical study, Presentation of data to convey meaning - Tables, Graphs and Frequency Distribution
Measures of central tendency: Mean, Median and Mode and their implications,
Measures of Dispersion: Range, Mean deviation, Standard deviation, Coefficient of Variation, Skewness, Kurtosis
Time series analysis: Concept, Additive and Multiplicative models, Components of time series. Trend analysis: Least Square method, Linear and Non- Linear equations, Exponential shooting method, Applications in business decision-making.
Index Numbers: Meaning, Types of index numbers, Uses of index numbers,
Construction of Price, Quantity and Volume indices, Fixed base and Chain base methods
Correlation: Meaning and types of correlation, Karl Pearson and Spearman rank correlation.
Regression: Meaning, Regression equations and their application
Probability: Concept of probability and its uses in business decision-making; Addition and multiplication theorems; Bayes’Theorem and its applications.
Probability Theoretical Distributions: Concept and application of Binomial; Poisson and Normal distributions
Introduction to sampling distributions, Sampling distribution of mean and proportion,
Sampling techniques
Estimation: Point and Interval estimates for population parameters of large sample and small samples, Determining the sample size.
Estimation Theory and Hypothesis Testing: Sampling theory; Formulation of
Hypotheses; Application of Z-test, t-test, F-test and Chi-Square test
Techniques of association of Attributes & Testing
ANOVA one and two way, Design of experiments
Chi-square test for single sample standard deviation, Chi-square tests for independence of attributes and goodness of fit, Sign test for paired data, Rank sum test
Kolmogorov-Smirnov, Test for goodness of fit, comparing two populations
Mann – Whitney U test and Kruskal Wallis test, One sample run test, rank correlation
Decision Theory – Decision under certainty, Decision making under risk (EMV criteria) and Decision making under uncertainty.