Assignments

3

Business Statistics

1. Before estimating the regression equation, conduct an overall preliminary analysis of the relationship between workers’ wages and a. sector, b. gender, c. educational attainment, d. age and e. marital status. Use tables and/or appropriate graphs for the categorical variables (male, public, degree, married) and the numerical variable (age). Interpret your findings by comparing the earnings of the counterparts based on each of these dummy variables and also explain the kind of relationship you observe between workers’ earnings and age? (5 marks) 2. Use a simple linear regression to estimate the relationship between workers’ earnings and the variable public (Model A). You may use the Data Analysis Tool Pack. Based on the Excel regression output: a) Write down the estimated regression equation, b) Carry out any relevant two-tailed hypothesis test of the slope coefficient using the critical value approach, at the 5% significance level, showing the step-by-step workings/diagram in your report. c) Interpret your hypothesis test results. (3 marks)

3

Managerial Economics

The goal is for you to read the current popular business press (newspapers, magazines, etc.). Do not look for articles in research journals, obscure publications or use a computer search. After finding a good article, create a short (2 page maximum) overview that contains the following four parts.

6

STAT600: Data Analysis And Interpretation

The Federal Social Welfares Minister would like to form an opinion on whether sexual assaults by family members have deteriorated over the period 2014-2020, and was advised to undertake a Chi-Squared test. Amalgamate and reformat the states and territories Family Member data as follows to answer the question: b) Specify the confidence level for a Chi-Squared Test: 90% / 95%: Justification of your choice

3

Cost Accounting 102

The accounting information system of Bell Co. reported the following cost and inventory data for the year: Costs Incurred Raw Materials Purchased $ 50,000 Direct Labor 100,000 Manufacturing Overhead 125,000 Advertising expenses 25,000 Selling & administrative expenses 75,000 Net Revenue 400,000 Inventories Beginning Balance Ending Balance Raw Materials $15,000 $20,000 Work in Process 20,000 30,000 Finished Goods 40,000 35,000.

3

INTRODUCTION TO PERSONAL FINANCIAL PLANNING (11228)

During a meeting with your client, they ask if you have ever heard of the term ‘active ageing’ and what it means. As an experienced financial advisor, your client enjoys engaging with you on the latest developments in the industry and would like to ‘pick your brain’ on this buzz word. Provide a detailed explanation on what is meant by the term ‘active ageing’ as it relates to ageing populations. Your client, Ms Iman Khan is assessing two different types of 4-year mutually exclusive investments. From her analysis she anticipates generating future end-of-year cash flows arising from each of the investment as follows: Year Investment A, (CFs in AUD) Investment B (CFs in AUD

6

SYS Problem 6

Suppose we start at this basis {x1, x3, x5}. We want to increase the value of x2 from 0 to 1, and keep x4 and x6 fixed to 0. How should we change x1, x3, and x5 to ensure that our equality constraints are satisfied? You can use any method you like to find these changes.

6

SYS 6003

Suppose we have 100 students to be divided into teams of 10 each. Each student is allowed to list up to 5 other students that they do not want to work with. How can we form feasible teams for the projects?

6

Math3022

Which university campus tends to have warmer maximum temperatures in September? To test this, a random sample of 23 September days was taken from 2016–2020 and the maximum temperatures were recorded at the Newcastle University and Gosford weather stations, the nearest stations to the Callaghan and Central Coast campuses, respectively.