# 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 Hours
1 / 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

§  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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