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Quantitative Analysis B

Unit Code: HMB111




Duration

Contact Hours

Campus

Prerequisite

Corequisite

One Semester or Term

36 Hours

Hawthorn, Sarawak

at least a D in VCE mathematics unit or equivalent

Nil

Credit Points: 12.5 Credit Points


Related Course/s:

A unit of study in the Bachelor of Business (only available to students with a pass in VCE Mathematical Methods or equivalent).


Note: Students may only receive credit for one of: HMA103, HMA104, HMB110, HMB111 or HMS102.

Aims & Objectives:

After completing this unit students should be able to:
  • Solve financial problems concerning compound interest, mortgages, annuities, loans and investment
  • Summarise quantitative and qualitative data in graphical and numerical forms
  • Interpret cross-tabulations of two and three variables
  • Calculate and interpret simple probabilities using tree diagrams and contingency tables using the ideas of mutually exclusive events, independent events and conditional probability
  • Understand the concept of a random variable and the probability distribution of a random variable and calculate and interpret the expected value and standard deviation of a discrete random variable
  • Understand and apply the basic properties of the normal probability distribution
  • Find point estimates of population parameters using sample statistics
  • Calculate and interpret confidence intervals for a mean and for a proportion.
  • Carry out and interpret tests of hypotheses concerning population means and proportions from one population or from two populations, using a z-test or t-test, as appropriate
  • Test for a relationship between two categorical variables using a Chi-square test
  • Calculate and interpret coefficients of correlation and of determination
  • Calculate the line of best fit for a set of bivariate data, test for the significance of the gradient and, if significant, use the line for prediction
  • Analyse the time series using the multiplicative model, including fitting linear and exponential trend lines, deseasonalising using seasonal indices and forecasting
  • Calculate index numbers using base period and current period

Teaching Methods:

Lecture/seminars (2 hours), Tutorials (1 hour)

Assessment:

Assignment (15%), Test (25%), Examination (60%)

Generic Skills Outcomes:

The graduate attributes which relate to this unit help to produce graduates who are:
  • Capable in their chosen professional, vocational or study areas
  • Entrepreneurial in contributing to innovation and development within their business, workplace or community
  • Effective and ethical in work and community situations
  • Adaptable and able to manage change
  • Aware of local and international environments in which they will be contributing (eg socio-cultural, economic, natural)

Content:

  • Financial Mathematics
  • Descriptive Statistics
  • Introduction to Probability
  • The Normal Distribution
  • Sampling and Estimation
  • Testing Hypotheses
  • Correlation and Regression
  • Time Series and Index Numbers

Reading Materials:

Comprehensive student notes will be available from the Swinburne bookshop.
  • HMB110/HMB111 Quantitative Analysis Notes
A specialist calculator will be required: the Texas TI-83, or approved equivalent.

Recommended Reading:

Anderson, DR et al., Statistics for Business and Economics, Aust. edn, Artarman, Harper Educational Publishers, 1991.