Assignment 2_ Analysis of data – Part 1

12/31/23, 11:52 PM Assignment 2: Analysis of data – Part 1 https://swinburneonline.instructure.com/courses/5046/assignments/44997 1/12 Teaching Period 3, 2023 STA10003: Foundations of Statistics Assignment 2: Analysis of data – Part 1 Word limit: No word limit Weighting: 20% Due: 11:59pm AEDT Friday 5 January 2024 (Week 7) After you have read this information, head over to the Assignment 2 – Part 1 Q&A (https://swinburneonline.instructure.com/courses/5046/discussion_topics/744790) 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 information collected from a dataset of Queensland Mental Health Services clients. You will analyse data in three specified areas and then write a brief report on each area. You will also respond to two short answer questions. This assignment supports unit learning outcomes 1, 3, 4, 5, 6 and 7. Assignment details Scenario You are a new graduate researcher at the Amberly Mental Health Service. You have been given a dataset of Queensland Mental Health Service clients to analyse. These clients attended an intervention program designed to improve the participant’s avoidance coping strategies. The extent of avoidance coping was recorded at the beginning and end of the intervention program, with external aggression and internal aggression [hostility] also recorded at the end of the intervention program. Demographic data was also collected for

12/31/23, 11:52 PM Assignment 2: Analysis of data – Part 1 https://swinburneonline.instructure.com/courses/5046/assignments/44997 2/12 each client regarding their gender and birth order. You have been tasked with conducting the initial analysis of some variables using SPSS and writing brief reports. You will use the data set provided for you in the supporting resources section. Data preparation For the purpose of your report, you must use SPSS to draw a random sample of 800 of the 1000 observations. You will conduct your analysis on this sample of 800. Instructions on how to generate your random sample are in the supporting resources section. Data analysis For your assignment, you are required to complete the first three questions by producing the appropriate analyses and writing the relevant report for each question. For each of the first three questions requiring SPSS, you should include the relevant output, e.g. tables and graphs, with your report. Note that many of the variables have similar names, so it is important that the correct variable be selected to address the question asked. You are also required to complete Questions 4 and 5, two short answer questions. Question 4 does not require SPSS. Question 5 also does not require SPSS, and no calculations are required. You are required to produce the following sets of analyses. Each analysis should be accompanied by a brief report (each report should be no more than one page). Data analyses for Assignment 2 – Part 1 Question Description Instructions 1 The variable Birth indicates the birth order of each client Using SPSS, summarise the Birth variable and write a paragraph explaining the key features of the data observed in the output in the style presented in Reporting information about single variables (see supporting resources).

12/31/23, 11:52 PM Assignment 2: Analysis of data – Part 1 https://swinburneonline.instructure.com/courses/5046/assignments/44997 4/12 Question Description Instructions = 165 seconds and a standard deviation σ = 15 seconds. Completion times for participants in Competition C are normally distributed with a mean of μ =109 seconds and a standard deviation σ = 8 seconds. 5 (a) The Betterbuy Battery Company manufactures alkaline and lithium batteries for use in torches, radios and other similar devices. They claim that the average operating time of their alkaline batteries is 20.00 hours, with a standard deviation of 1.50 hours. However, a consumer organisation believes the average operating time of their alkaline batteries is lower than 20.00 hours. In order to investigate this further, the consumer organisation take a random sample of 625 alkaline batteries manufactured by the company during March and tests each battery by putting it in a torch and recording the number of hours it operates for. What is the population we can draw conclusions about in this study? 5 (b, c and d) To answer questions (b) to (d), consider only the sampling distribution shown in Figure 1. Click the image to enlarge. (b) What does the highlighted section of the distribution in Figure 1 represent? (c) The random sample of 625 batteries taken by the consumer organisation turned out to have a mean operating time of 20.16 hours. Does this sample

12/31/23, 11:52 PM Assignment 2: Analysis of data – Part 1 https://swinburneonline.instructure.com/courses/5046/assignments/44997 5/12 Question Description Instructions look like it belongs to the sampling distribution displayed in Figure 1? Justify your answer. (d) Given that the sample was randomly selected from all batteries manufactured by the Betterbuy Battery Company in March, and given that each battery’s operating time was measured accurately, what conclusion can we reach from part (c)? Supporting resources STA10003_Assignment_Data.sav (SAV 23 KB). (https://swinburneonline.instructure.com/courses/5046/files/3600161?wrap=1) (https://swinburneonline.instructure.com/courses/5046/files/3600161/download? download_frd=1) This data file is used as the basis for this Assignment. You are required to take a random sample of cases from this data file to use for your Assignment. You should save your random sample of cases in a secure place, as it will be used for both parts of this Assignment, Part 1 and Part 2. STA10003 Assignment Instructions (PDF 1.1 MB) (https://swinburneonline.instructure.com/courses/5046/files/3600164?wrap=1) (https://swinburneonline.instructure.com/courses/5046/files/3600164/download? download_frd=1) if you prefer to download the assignment questions. These instructions also show you how to generate your random sample. Assignment 2 (Part 1) template (DOCX 108 KB). (https://swinburneonline.instructure.com/courses/5046/files/3594133?wrap=1) (https://swinburneonline.instructure.com/courses/5046/files/3594133/download? download_frd=1) 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) (https://swinburneonline.instructure.com/courses/5046/files/3594134?wrap=1) (https://swinburneonline.instructure.com/courses/5046/files/3594134/download?

12/31/23, 11:52 PM Assignment 2: Analysis of data – Part 1 https://swinburneonline.instructure.com/courses/5046/assignments/44997 7/12 Sample means and copying SPSS output into Word (2018) created by Swinburne Online Checklist Prior to submitting your assignment, use the following checklist as a guide to ensure that you have provided all of the relevant information. Question 1 Should include (as appropriate): A graph and Frequency output appropriate for a categorical variable. A paragraph that includes mention of the largest group, the smallest group, the spread of percentages/proportions [as appropriate], and any other relevant patterns about single variables. Question 2 Should include (as appropriate): a graph and Explore output appropriate for a metric variable a paragraph that includes a description of the centre spread, outliers if present, and shape of distribution based on Supplement B: Reporting information about single variables. Question 3 0:00 / 5:09

12/31/23, 11:52 PM Assignment 2: Analysis of data – Part 1 https://swinburneonline.instructure.com/courses/5046/assignments/44997 8/12 Should include (as appropriate): a graph and Explore output appropriate for a metric variable a paragraph that includes a description of the centre spread, outliers if present, and shape of distribution based on Supplement B: Reporting information about single variables. Question 4 The answer should be presented in a short paragraph, quoting relevant statistics in support of the response. Question 5 The answers should be presented with sections (a) to (d) clearly identified. General checklist: correct variable used to produce output (note that many of the variables have similar names, so it is important to double-check that the correct variable has been used) correct procedure performed graphs appropriately edited and labelled (e.g. edited variable names; 'Figure 1. The distribution of ...') all figures quoted in the report correct according to your own output correctly referring to the sample or population when appropriate proofreading of reports for errors. Submission details overview This assignment will be submitted through Canvas. When you are ready to submit your assignment, select the 'Start Assignment' button at the top of this page. You will be taken to the 'File Upload' tab where you can choose your file or submit your URL. Please note: When you submit your assignment through Canvas, you are also submitting the assignment through Turnitin, which is a text-matching service that compares your work with an international database of information sources. You will need to agree to using it. Once you have submitted your assignment, select 'Submission Details' on the right of your screen to view your originality report if you haven't already done so. Please allow a 24-hour turnaround for an originality report to be generated. See the 'Turnitin originality report' area of the Academic practice (https://studenthub.swinburneonline.edu.au/academic-practice) page in the Study Resources section of the Student Hub for several guides to assist with the submission process.

12/31/23, 11:52 PM Assignment 2: Analysis of data – Part 1 https://swinburneonline.instructure.com/courses/5046/assignments/44997 10/12 Criteria Question 2: Summary of metric variable (10 Pts) 0 Pts No mark allocated Question not answered, no report, report covers no relevant/correct information 9 to > 0.0 Pts Partial marks allocated Report has 1-9 errors 10 to > 9.0 Pts Full ma allocate Report has no errors. Question 3: Summary of metric variable (10 Pts) 0 Pts No mark allocated Question not answered, no report, report covers no relevant/correct information 9 to > 0.0 Pts Partial marks allocated Report has 1-9 errors 10 to > 9.0 Pts Full ma allocate Report has no errors. Question 4 Short answer question (3 Pts) 0 Pts No attempt or is incorrect. 1 Pt Correct conclusion, no relevant/correct statistics quoted. 2 Pts Correct conclusion. Partial relevant/correct statistics quoted. 3 Pts Correct conclusion. All relevant/correct statistics quoted. Not applica Question 5a (2 Pts) 0 Pts No attempt. Incorrect answer. 1 Pt Answer has 1 or more errors. 2 Pts Correct answer, no errors. Not applicable. Not applica

12/31/23, 11:52 PM Assignment 2: Analysis of data – Part 1 https://swinburneonline.instructure.com/courses/5046/assignments/44997 11/12 Criteria Question 5b (2 Pts) 0 Pts No attempt. Incorrect answer. 1 Pt Answer has 1 or more errors. 2 Pts Correct answer, no errors. Not applicable. Not applica Question 5c (2 Pts) 0 Pts No attempt. Incorrect answer. 1 Pt Answer has 1 or more errors. 2 Pts Correct answer, no errors. Not applicable. Not applica Question 5d (3 Pts) 0 Pts No attempt. Incorrect answer. Answer has 3 or more errors. 1 Pt Answer has 2 errors. 2 Pts Answer has 1 error. 3 Pts Correct answer, no errors. Not applica Request assignment extension We understand that at times your studies may be adversely affected by illness, misadventure or some other extraordinary cause or circumstance reasonably beyond your control. If you feel this is the case and you need an extension to support you in completing your assignment, please select 'I would like to request an extension' below to access the request process. Please note: For team assignments, each team member must submit a request. Assessment declaration I would like to request an extension (../external_tools/3955) I would like to view an existing request (../external_tools/3955)