Assignment 2_ Analysis of data – Part 1

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Swinburne University of Technology *

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10003

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Statistics

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Jan 9, 2024

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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 3/12 Question Description Instructions 2 The variable Height measures the height in cm for each client. Using SPSS, summarise the Height 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). 3 The variable AggInt measures the internal aggression [hostility] of each client. This variable was scored on a scale from 0 to 20, with higher scores representing greater levels of internal aggression [hostility]. Using SPSS, produce the relevant output to summarise the AggInt variable and write a paragraph explaining the key features of the data observed in the output in Reporting information about single variables (see supporting resources). Short answer questions 4 Susan is an engineering student who decides to take part in three competitions where puzzles need to be solved as quickly as possible by correctly fitting all the pieces of a gadget together in each case. In Competition A, she takes 125 seconds to complete the puzzle, in Competition B, she takes 140 seconds, and in Competition C, she takes 118 seconds. Overall completion times for participants in Competition A are normally distributed with a mean of μ = 119 seconds and a standard deviation σ = 7 seconds. Completion times for participants in Competition B are normally distributed with a mean of μ In which competition was Susan’s performance better, relative to others who took part in that competition? Justify your answer, quoting relevant statistics as part of your explanation.

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?

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