 COURSE SUMMARY
Course Title:
Managerial Statistics
Course Code:
15MEC336
Year Taught:
2015
2016
2017
2018
Type:
Elective
Degree:
School:
School of Engineering
Campus:
Bengaluru
Chennai
Coimbatore
Amritapuri

'Managerial Statistics' is a course offered in the B. Tech. in Mechanical Engineering program at School of Engineering, Amrita Vishwa Vidyapeetham.

#### SYLLABUS

Unit 1

Quantitative methods: Basic terminology in probability, probability rules, conditions of statistical dependence and independence, Bayes Theorem, Discrete Random Variables review of probability distributions, measure of central tendency.

Sampling and sampling distributions: Introduction to sampling, random sampling, design of experiments, introduction to sampling distributions.

Estimation: point estimates, interval estimates and confidence intervals, calculating interval estimates of mean from large samples, using t test, sample size estimation.

Unit 2

Testing hypothesis: Introduction, basic concepts, testing hypothesis, testing when population standard deviation is known and not known, two sample tests.

Chi-square and analysis of variance: introduction, goodness of fit, analysis of variance, inferences about a population variation.

Unit 3

Regression and correlation: Estimation using regression line, correlation analysis, finding multiple regression equation, modelling techniques,

Non parametric methods and time series and forecasting: Sign test for paired data, rank sum test, rank correlation, Kolmogrov – smirnov test, variations in time series, trend analysis, cyclic variation, seasonal variation and irregular variation. Decision theory: Decision tree analysis.

#### TEXTBOOK

• Levin R. I. and Rubin D. S. - ‘Statistics for management’ - Pearson Education – 2007 - 5th Edition
• Montgomery D. C. and Runger G. C. - ‘Applied Statistics and Probability for Engineers’ - John Wiley & Sons - 2002 - 3rd Edition

#### REFERENCES

• Bain L. J. and Engelhardt M. - ‘Introduction to Probability and Mathematical Statistics’ - Duxbury Press - March 2000 - 2nd Edition
• Hinkelmann K. and Kempthorne O. - ‘Design and Analysis of Experiments : Volume I’ - John Wiley & Sons, Inc. - December 2007 - 2nd Edition
• Johnson R. A. and Wichern D. W. - ‘Applied Multivariate Statistical Analysis’ - Prentice-Hall, Inc. - December 2001 - 5th Edition
• Myers R. H. - ‘Classical and Modern Regression with Applications’ - PWS-Kent Publishing Company - March 2000 - 2nd Edition
• Devore J. L. - ‘Probability and Statistics for Engineering and the Sciences’ - Brooks/Cole Publishing Company - December 1999 - 5th Edition
• Freund J. E. and Walpole R. E. - ‘Mathematical Statistics’ - Prentice-Hall Inc. - October 1986 - 4th Edition