Pro Forma Kursus MTE3105

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    Course Pro FormaProgram Ijazah Sarjana Muda Perguruan Dengan Kepujian

    (Matematik Pendidikan Rendah)

    Course Title Statistics

    (Statistik)Course Code MTE3105

    Credit 3(3+0)

    ContactHours

    45 hours

    Language OfDelivery

    English Language

    Prerequisite toentry

    Nil

    Semester One/Two

    Learningoutcomes

    1. Explain the theoretical and empirical aspects underpinningprobability

    2. Apply sampling and estimation theory in estimating the mean ofa population

    3. Apply inferential statistics such as Chi-Square test, ANOVA andlinear regression in hypothesis testing

    4. Analyse and solve real-life problems using these statisticalmethods.

    Synopsis In this course, students will revisit the concepts of probability and

    explore inferential statistics such as t-test, chi-square test, analysis ofvariance (ANOVA) in hypothesis testing and linear regression inanalyzing linear relationship in bivariate variables. The use of samplingand estimation theory to estimate the mean of population is discussed.The importance of using the appropriate statistical methods in solvingreal life problems is emphasized.

    Dalam kursus ini, pelajar akan mengimbas kembali konsep yangberkaitan dengan kebarangkalian dan menerokai statistik inferensseperti ujian-t, ujian chi-square, analisis varians (ANOVA) dalampengujian hipotesis dan regresi linear dalam menganalisisperhubungan linear dalam dua pembolehubah. Penggunaan teori

    pensampelan dan penganggaran untuk menganggar min populasijuga dibincangkan. Kepentingan menggunakan kaedah statistik yangsesuai dalam penyelesaian masalah harian adalah dititikberatkan.

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    Topic Content Hours

    1 Probability Introduction to probability

    o Theoriticalo Empirical

    Compound Eventso Independent Eventso Mutually Exclusive

    The Addition and Multiplication Rule

    Probability Treeo Theoretical

    Conditional Probabilities

    3

    2 Sampling and estimation theory

    Elementary sampling

    Sampling distribution

    Point estimation and interval estimation Confidence level

    Reading Statistic Tables

    Estimating the Mean of Population when STDof the Population is Known

    Estimating the Mean and STD of PopulationFrom Sample Data

    Estimating the mean of a population basedon a small sample size

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    3 Hypothesis testing Introduction

    Methodology for hypothesis testing. Testing one mean

    Testing the difference between two populationmeans

    Testing a population proportion

    Testing a population variance (standarddeviation)

    Testing the ratio of two population variance(standard deviation)

    12

    4 The Chi-square hypothesis test

    The general procedure for the test The goodness of fit test The test of association

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    5 Analysis of variance ( ANOVA ) Introduction on one way Independent ANOVA

    Calculating ANOVA by hand

    Calculating ANOVA using EXCEL

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    6 Linear Regression Introduction

    o Independent variableso Dependent variableso Scatter diagram

    The least squares straight lineo Interpolation and extrapolation

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    Total 45

    Assessment Coursework 50%

    Examination 50%MainReferences

    Eccles, A. et. al (2004). Statistics 1. 3rd ed UK: Martins the Printers.

    Davies, M et. al ( 2005). Statistics 2. 3rd ed UK. Hodder Murray

    Davies, M et. al ( 2005). Statistics 3. 3rd ed UK. Hodder Murray

    AdditionalReferences

    Cook, Upton, G. I. (2000). Introducing Statistics. 2nd ed. NY: OxfordUniversity Press.

    Mann, Prem S. ( 2003 ). Introductory Statistics. 5th ed. NY: Wiley.

    Norusis, M. J. (1985). SPSS X: Advanced statistics guide. NY:McGraw-Hill.

    Rowntree, D. (2004). Statistics without tears: A primer for nonmathematicians. Boston, MA: Pearson Education.

    Smitters, G et. al ( 2000). Advanced Modular Mathematics Statistics 1.2rded. UK: Harper Collins.

    Smitters, G et. al ( 2000). Advanced Modular Mathematics Statistics 2.2rded. UK: Harper Collins.

    Smitters, G et. al ( 2000). Advanced Modular Mathematics Statistics 3.2rded. UK. Harper Collins.

    Spielgel, R. M (2000). Statistics crash course. USA: Mc Graw Hill.