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DBA 7102  Statistics for management

UNIT I  PROBABILITY -  Basic definitions and rules for probability, conditional probability,
independent of events, Baye’s  Theorem, random variables, Probability distributions:
Binomial, Poisson, Uniform and Normal Distributions.
UNIT II  SAMPLING DISTRIBUTION AND ESTIMATION  -  Introduction to sampling
distributions,  sampling techniques, sampling distribution of mean and proportion,
application of central limit theorem. Estimation: Point and Interval estimates for
population parameters of large sample and small samples, determining the sample size.
UNIT III  TESTING OF HYPOTHESIS -  Hypothesis testing: one sample and two samples tests
for means and proportions of large samples (z-test), one sample and two sample tests for
means of small samples (t-test), F-test for two sample standard deviations.
UNIT IV  NON-PARAMETRIC METHODS -  Sign test for paired data. Rank sum test: Mann  –
Whitney U test and Kruskal Wallis test. One sample run test, Rank correlation. Chi-square tests for independence of attributes and goodness of fit.
UNIT V   CORRELATION, REGRESSION AND TIME SERIES ANALYSIS  -  Correlation
analysis, estimation of regression line. Time series analysis: Variations in time series,
trend analysis, cyclical variations, seasonal variations and irregular variations.