Assignment 2: Analysis of data - Part 2 Teaching period 3, 2018 STA10003: Foundations of Statistics Assignment 2: Analysis of data - Part 2 Word limit: Maximum of four (4) pages (one page for each question) Weighting: 20% Due date: 5pm AEDT Friday 25 January 2019 (Week 10) After you have read this information, head over to the Assignment 2 - part 2 Q&A discussion board to ask any questions and see what your peers are saying about this assignment. Assignment overview For this assignment you will utilise SPSS to conduct data analysis of Australian public service employee data, and then write a brief report on each area. Using data provided, you will also create a response to four short-answer questions. Related learning outcomes This assignment assesses the following unit learning outcomes: 1. specify the objectives of an investigation in statistical terms 3. produce appropriate descriptions and visualisations of data distributions 4. estimate population parameters (proportions, means) using appropriate statistics and confidence intervals 5. select and conduct appropriate hypothesis tests for different population parameters (proportions, single sample means, difference of means for matched and independent samples) 6. describe the relationships between variables (correlations, crosstabs, relative risk and odds ratios) and test the significance of these relationships 7. interpret the outcomes of data analysis to write a concise report on findings. Assignment details Scenario You are a new graduate researcher at a social science and psychological sciences research institute. You have been given a dataset based on the most recent Australian Public Service Commission Census 2016, which is a survey of Australian Public Service Sector Employees and asked to analyse the data to answer several questions of interest that are presented on the following pages. Data For the purpose of this report, you should use the same dataset as for Assignment - Part 1. You should already have saved your random sample of 1500 of the 4352 observations from the original data file STA10003_assignment_2_data_2018.sav and you do not need to draw a new random sample. Data analysis For your assignment, you are required to complete the first three [3] questions by producing the appropriate analyses and writing the relevant report for each question. You are also required to complete Question 4, which contains four short answer questions. The reports should follow the format of the model reports provided in the Additional resources section. For each question you should include the relevant output (e.g. tables, confidence interval calculations and graphs) with your report. Question Description Instructions 1 Researchers hypothesise that Australian public service employees who have less than five years tenure in their job are more engaged with their supervisor than Australian public service employees who have five years or more tenure. Conduct an independent samples t-test using the SprvisrEngagement and Tenurevariables to test this claim. Produce the relevant output and write an Independent samples t-test report based on your output in the style presented in the course materials. 2 Researchers hypothesise that there is a difference, on average, in the extent to which male and female public service sector employees are engaged with their job. Conduct an Independent samples t-test using the JobEngagement and Sex variables to test this claim. Produce the relevant output and write an Independent samples t-test report based on your output in the style presented in the course materials. 3 An employee relations counsellor hypothesises that Australian public service employees are more engaged, on average, with the team of colleagues they regularly work with than with their supervisor. Conduct a paired samples t-test using the SprvisrEngagement and TeamEngagement variables to test this claim. Produce the relevant output and write a Paired samples t-test report based on your output in the style presented in the course materials. Short answer questions 4 The Indigo Insurance Company is a large company based in Melbourne. Several years ago, an email survey of all their employees found that employees were required to respond to an average of 50 work-related emails per week with a standard deviation of 1.5 emails per week. However, an employee advocacy group believes the average number of work-related emails Indigo Insurance Company employees are now required to respond to is more than 50 emails per week. To investigate this further, the employee advocacy group took a random sample of 20 staff employed by Indigo Insurance Company during the second week of March 2018,and asked these employees to record the number of work-related emails to which they were required to respond. (a). What is the population we can draw conclusions about in this study? 4 To answer questions (b) to (d), consider the sampling distribution shown in Figure 1. (b). What does the highlighted section of the distribution in Figure 1 represent? (c). The random sample of 20 employees of Indigo Insurance Company taken by the employee advocacy group turned out to have a mean of 50.8 work-related emails to respond to in that week. Does this sample look like it belongs to the sampling distribution displayed in Figure 1? Justify your answer. (d). Given the sample was randomly selected and that the number of work-related emails each employee was required to respond to was recorded accurately, what conclusion can we reach from part (c)? Figure 1: distribution of sample mean number of emails answered per week for samples of size 20, taken from a population where the mean is 50 emails per week and the standard deviation is 1.5 emails per week (2018) courtesy of Swinburne University of Technology Additional resources · STA10003_assignment_2_data_2018.sav This data file is used as the basis for this Assignment. · Assignment 2 part 2 template (DOC 28 KB). This document is not compulsory—you do not have to use it. It is simply a template for how to format the page layout of your assignment. While we do strongly recommend you adopt this format and use the template, you will not lose marks for not doing so. Please rename the document to match your surname and student number. · Model reports (PDF 119 KB) relevant to Assignment 2. This file contains model reports using a range of statistical tests covered in the unit. Only use the model reports relevant to the statistical tests covered in this assessment task. · The following video contains information for how to insert symbols (e.g. sample means) into a Word document. The video was produced for another iteration of this unit, but the process is the same. Inserting sample mean symbols (2018) created by Swinburne Online Checklist Question 1 should include [as appropriate]: · The Independent-samples t-test output and all other output produced to answer the question. · A paragraph that reports the results of the Independent samples t-test following the format of the model reports from the learning materials. Question 2 should include [as appropriate]: · The Independent-samples t-test output and all other output produced to answer the question. · A paragraph that reports the results of the Independent samples t-test following the format of the model reports from the learning materials. Question 3 should include [as appropriate]: · The Paired-samples t-test output and all other output produced to answer the question. · A paragraph that reports the results of the Paired samples t-test following the format of the model reports from the learning materials. Question 4: The answers should be presented with sections (a) to (d) clearly identified. Overall check: · The correct variable is used to produce output. · The correct procedure is performed. · All figures quoted in the report are correct according to your own output. · Includes 95% confidence interval interpretations where appropriate. · Significance interpreted correctly (i.e. check that you are not saying the finding is significant when it is not or vice versa). · Correctly referring to the sample or population where appropriate. · Proofreading of reports for errors. Submission details overview Assignment criteria Assessment declaration All students must agree to the following declaration when submitting assignment items. Declaration and Statement of Authorship 1. I have not impersonated, or allowed myself to be impersonated by any person for the purposes of this assignment. 2. This assignment is my/our original work and no part of it has been copied from any other source except where due acknowledgement is made. 3. No part of this assignment has been written for me by any other person except where such collaboration has been authorised by the lecturer/teacher concerned. 4. I have not previously submitted this work for this or any other course/unit. 5. I give permission for my assignment response to be reproduced, communicated, compared and archived for plagiarism detection, benchmarking or educational purposes. I understand that: · Plagiarism is the presentation of another person's work as though it is your own. It is a form of cheating and is a very serious academic offence that may lead to exclusion from the university. · Plagiarised material may be drawn from published and unpublished written documents, interpretations, computer software, designs, music, sounds, images, photographs, and ideas or ideological frameworks gained through working with another person or in a group. · Plagiarised material can be drawn from, and presented in, written, graphic and visual form, including electronic data and oral presentations. Plagiarism occurs when the origin of the material used is not appropriately cited. I agree and acknowledge that: 1. I have read and understood the Declaration and Statement of Authorship above. 2. I accept that use of my Swinburne account to electronically submit this assignment constitutes my agreement to the Declaration and Statement of Authorship. 3. If I do not agree to the Declaration and Statement of Authorship in this context, the assessment outcome may not be valid for assessment purposes and may not be included in my aggregate score for this unit. 4. I am aware that it is not acceptable to resubmit the same piece of work (in part or as whole) for multiple assignments without permission from the Unit Coordinator. Penalties for plagiarism range from a formal caution to expulsion from the university, and are detailed in the Student Academic Misconduct Regulations 2012.