MI4306 Business Statistics – II Syllabus:

MI4306 Business Statistics – II Syllabus – Anna University PG Syllabus Regulation 2021

COURSE OBJECTIVES :

This course introduces some of the ideas of statistics, emphasising the applications of these methods in the business scenario. It provides a basic knowledge of how to do estimation of population, test hypothesis and summarise results. It provides knowledge about the various parametric and non parametric tests.

UNIT I SAMPLING DISTRIBUTION AND ESTIMATION

Sampling- sampling methods – sampling distribution – sampling and non sampling errors – mean and standard deviation of sampling distribution-Estimation- Introduction- Estimators and properties – Point and Interval estimate – introduction to t-distribution- interval estimation of population mean: large and small samples- Interval estimation of population mean – finite and infinite population Interval estimation for population proportion- large and small samples.

UNIT II HYPOTHESIS TESTS I

Introduction to hypotheses and testing hypotheses – significance level- one tail and two tail tests – region of rejection – hypothesis test about mean: large and small samples – hypothesis test about mean: known and unknown population standard deviation – probability value method (p value)- power of test- Hypothesis test about mean : finite and infinite population – Hypothesis test about proportions; large and small samples.

UNIT III HYPOTHESIS TESTS II

hypothesis tests about difference between two sample means : large and small case- hypothesis tests about difference between two sample means for paired samples – hypothesis tests about difference between two sample proportions -large and small case- F-test for two sample standard deviations. ANOVA one and two way.

UNIT IV PARAMETIRC TESTS

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.

UNIT V CORRELATION AND REGRESSION

Correlation – Coefficient of Determination – Rank Correlation – Regression – Estimation of Regression line – Method of Least Squares – Standard Error of estimate.

TOTAL: 45 PERIODS

COURSE OUTCOMES :

After successfully completing this course students understand
 How to do estimation
 The type of formulate a hypotheses, test them and drawconclusions.
 When and howto use parametric and non parametric tests

TEXT BOOKS :

1. Statistics for Management, Richard I. Levin, David S. Rubin, Sanjay Rastogi Masood Husain Siddiqui, Pearson Education, 7th Edition, 2016.
2. Introductory Statistics Prem.S.Mann, , 7th Edition, Wiley India, 2016.

REFERENCES :

1. Complete Business Statistics, Aczel A.D. and Sounderpandian J 6th edition, Tata McGraw Hill Publishing Company Ltd., New Delhi, 2012.
2. Business Statistics using Excel – Glyn Davis and Branko Pecar, Oxford University Press.