# School of Natural Sciences and Mathematics

**Chinhoyi University of Technology**

**School of Natural Sciences and Mathematics**

**Department of mathematics and statistics**

**Course Name: Introduction to Statistics C - Social Sciences**

**Course Code: CUMT105**

**Number of Credits: 10**

**Number of hours: 48 hours**

1. Aim

The course aims to equip students with basic statistical concepts that are used in the business world.

2. **Objectives of the Course**

The course’s objectives are to introduce and equip students with:

a) Concepts of descriptive statistics and probability

b) Data analysis and interpretation skills.

c) Tools for inferential statistics.

3. Assessment

The student will write at least two assignments, two tests and a three-hour final examination. The final mark will constitute 30% of continuous assessment and 70% of the examination mark.

4. Course Outline

Week / Chapter / Chapter / Topic(s) / No. of Lectures / No. of Hours1 / 1 / Introduction to Statistics / Definition. Uses of Statistics. Population, Sample / 1 / 2

2 / 2 / Data Collection / Sources of data, Direct observation, Interview methods, Surveys and questionnaire design. Sampling Techniques - Simple random, stratified, cluster, systematic. / 2 / 4

3 / 3 / Data Representation / Variable types, presentation and summarization techniques: Tables, charts, graphs, histogram, stem and leaf display, box and whisker plot. / 3 / 6

5 / 4 / Measures of central tendency and dispersion / Mean median, mode, range, variance and standard deviation, standard error of the mean for grouped and ungrouped data. Skewness and Kurtosis. / 3 / 6

**Assignment 1 – Due on**

6 /

**Test 1 and revision**/ 2 / 4

7 / 5 / Probability / Possibility space, Events, Outcomes, Probability laws, conditional probability, tree diagram. / 2 / 4

8 / 6 / Probability Distributions / Random variables. Discrete distributions – Binomial and Poisson distributions. Continuous distributions - Normal distribution / 4 / 8

10 / 7 / Regression and Correlation Analysis / Scatter plot, estimation and interpretation of regression parameters, calculation and interpretation of correlation coefficient and determination. / 2 / 4

11 / 8 / Confidence Internal and Hypothesis testing / Mean, difference of means, proportion, variance and standard deviation.

Testing concerning mean, proportion and two samples. Z, T and Chi-square tests. / 3 / 6

**Assignment 2 – Due on**

12 /

**Test 2 and revision –**/ 2 / 4

5. **Reading Material**

§ Ross S. M. Introduction to Probability Theory.

§ Klotz J. H. *A Computational Approach to Statistics,* 2004.

§ Chatterjee S. Hadi A. S., Regression Analysis by Example, 4th Ed, 2009.

§ Wegner, T. *Application of Business Statistics. * Juta & Company, 1999.

§ Chimedza, C. Applied Statistics, ZOU. 1999.

§ Chareka, C. Statistical Inference, ZOU. 1999.

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