B.Sc. (Data Science) Testing of Hypothesis Syllabus - Mumbai University

This is the SY BSc Data Science syllabus under NEP 2020, in force from the academic year 2025-26. The University still sets the earlier Choice Based papers alongside it for ATKT candidates, so check which scheme your exam form names before you revise.

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Syllabus for Testing of Hypothesis

Skill enhancement course · Semester 4 · SY BSc Data Science · 2 credits · 50 marks

Module I: Introduction to Research: Overview of research: Definition, types, and importance of research

Formulating Research Problem and Hypothesis: Identifying research problems, formulating research questions, and crafting hypotheses Review of Literature: How to conduct and write a literature review, importance of literature in research Research Design and Methodology: Understanding research designs (Exploratory, Descriptive, Experimental) and choosing methodology Sampling Methods and Techniques: Probability and non-probability sampling methods and techniques Data Collection Methods: Techniques for collecting data: Surveys, interviews, observations, and instruments Data Analysis Techniques: Introduction to data analysis: Descriptive and inferential statistics Introduction to Writing a Research Paper: Structure and organization of a research paper: Abstract, Introduction, Methodology, Results Ethics in Research: Ethical considerations in research: Integrity, plagiarism, informed consent Introduction to Hypothesis Testing: Definition and basic concepts of hypothesis testing, types of hypotheses Steps in Hypothesis Testing Formulating hypotheses, choosing appropriate tests, calculating test statistics, and p-values Types of Errors in Hypothesis Testing: Type I and Type II errors, Power of the test, and reducing errors

Module II: t-tests: One-Sample, Independent, and Paired One-sample

Independent t-test, Paired t-test and their applications Application of T-Test for Testing hypothesis using Python/Excel.
Analysis of Variance (ANOVA) One-way and Two-way ANOVA: Theory, and assumptions Application of ANOVA for Testing hypothesis using Python/Excel.
Chi-Square Test for Independence: Chi-square goodness-of-fit test, test of independence, and its application Application of Chi-Square for Testing hypothesis using Python/Excel.
Correlation and Regression Analysis: Pearson correlation, Simple linear regression, and Multiple regression Application of Correlation and Regression using Python/Excel.
Non-Parametric Tests: Mann-Whitney U test, Wilcoxon signed-rank test, Kruskal-Wallis test and when to use them Python program based on above techniques.
F-Test and its Applications: F-test for comparing variances, and its use in ANOVA and regression analysis Python Program for F-Test Z-test for Proportions and Means: Z-test for sample means and proportions, assumptions and calculations Python Program for Z-Test Tests for Normality: Shapiro-Wilk, Kolmogorov-Smirnov tests for normality, visual tools (Q-Q plots, Histograms) Python Program for Test of Normality.

Textbooks

1 Research Methodology – Methods and Techniques-C. R. Kothari-New Age International (P) Ltd., Publishers
2 Fundamentals Of Mathematical Statistics - S.C. Gupta , V.K. Kapoor Sultan Chand & Sons
3 Business Research Methods Allan Bryman Emma Bell OXFORD University Press
4 Business Research Methods Donald R. Cooper Pamela S. Schindler McGraw-Hill/Irwin, 12th Ed
1 Hypothesis Testing, Pearson Higher Education
2 Statistical Analysis Handbook, Dr Michael J de Smith, The Winchelsea Press, Drumlin Security Ltd, Edinburgh, 2018
3 An Introduction to Statistical Methods and Data Analysis, R. Lyman Ott & Michael Longnecker, Thomson Learning

Reproduced from the University of Mumbai syllabus for B.Sc. (Data Science) under NEP 2020, in force from the academic year 2025-26. Wording is as printed in that syllabus. Module numbering is as printed there too.

The complete syllabus

This subject is cut from the University circular for its year. Open a document here if you want the whole thing rather than a single subject.

PDF 2024 25 DS SEM I & II NEP NEP 2020 syllabus, in force from 2024-25 Read full PDF Read

PDF 2023 24 BSc Data Science Sem V & VI Earlier Choice Based syllabus, still set for ATKT candidates Read full PDF Read

PDF 2021 22 BSc Data Science Sem III & IV Earlier Choice Based syllabus, still set for ATKT candidates Read full PDF Read

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