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Parent Programme
Bachelor of Business (Level 7 NFQ)
NFQ Level & Registration
Level 6 / M1.11
Duration
12 Weeks X 3 Hours per week
MODULE TITLE
Business Statistics & Mathematics 2
STAGE
1
Module Credit Units
ECTS: 5

Business Statistics and Mathematics 2

Introducing to Statistics and Mathematics 2

The Business Statistics and Mathematics 2 module is designed to build upon the foundational knowledge acquired in Business Statistics 1, which was covered in the first semester. Learners will deepen their understanding of key concepts such as statistical inference, hypothesis testing, regression analysis, and linear programming. This module aims to equip learners with the advanced analytical tools necessary for effective data-driven decision-making in the business context.

Indicative Syllabus Content    

Business Statistics and Mathematics 2

Probability Distribution

  • Discrete Probability Distribution: Poisson distribution; Binomial distribution
  • Continuous Probability Distribution: Normal Distribution; Standard Normal Distribution; Normal Approximation

Using Statistical Inference

  • Statistical Inference; Sampling Distribution
  • Estimation- Inference about a population
  • Confidence Interval for the population mean/ population percentage
  • The t- distribution
  • Significance testing using Confidence intervals
  • Hypothesis testing

Correlation and Simple Regression Analysis

  • Correlation
  • Measuring Linear Association
  • Regression Analysis
  • Prediction from the regression line.
  • Non-linear relationships

Linear Programming

  • Formulate a problem in Linear Programming terms
  • Solve two-variable problems using inequalities and graphical methods
  • Maximization and Minimization problems (Max Profit; Min Cost)

Minimum Intended Learning Outcomes (MIMLOs)

Upon successful completion of this module, the learner should be able to:
MIMLO1
Apply discrete probability distributions, such as the Poisson and Binomial distributions, to solve real-world business problems.
MIMLO2
Understand and utilize continuous probability distributions, including the Normal and Standard Normal Distributions, for precise calculations and analyses in various statistical contexts.
MIMLO3
Use correlation and regression analysis to identify and analyse relationships between variables.
MIMLO4
Conduct hypothesis testing to make informed decisions based on statistical evidence.
MIMLO5
Construct and interpret confidence intervals to estimate population parameters and assess the reliability of statistical estimates.
MIMLO6
Apply linear programming techniques to solve optimization problems in business.

Assessment

MIMLOs
Assessment
Percentage
1, 2, 3, 4, 5, 6
CA1 - Assignment
Total 100%
Proctored Final Exam
All Assessments

Reassessment Opportunity

Where the combined marks of the assessment and examination do not reach the pass mark the learner will be required to repeat the element of assessment that they failed. Reassessment materials will be published on Moodle after the Examination Board Meeting and will be aligned to the MIMLOs and learners will be capped at 40% unless there are personal mitigating circumstances.

Objectives

The objective of this module is for learners to proficiently understand and apply both discrete and continuous probability distributions, including Poisson, Binomial, Normal, and t-distributions. They will calculate and interpret confidence intervals for population means and proportions, conduct hypothesis testing for informed decisions, and use correlation and regression analysis for identifying and predicting variable relationships. Additionally, learners will apply linear programming techniques to solve optimization problems, formulating and solving real-world scenarios graphically for maximization and minimization objectives.

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