FOUNDATIONS OF STATISTICS
\n1
\nSTA10003 FOUNDATIONS OF STATISTICS
\nASSIGNMENT PART 2
\nThis Assignment \u2013 Part 2 is worth 20% of your final mark for STA10003.
\nThe Industry Scenario
\nYou are a new graduate researcher at a social science and psychological sciences research
\ninstitute, and you have been given a dataset to analyse which relates to a study of Californian
\nadults in 2020. The survey, titled the California Health Interview Survey [CHIS] collects
\nextensive information regarding health status, health conditions, health related behaviours,
\nhealth insurance coverage and other health-related issues and demographic information. You
\nhave been tasked with conducting the initial analysis of some variables using SPSS and to
\nwrite brief reports.
\nData Preparation
\nFor Assignment Part 2 you can use the random sample of 1500 of the 6259 observations you
\ngenerated from the original data file STA10003 SP1 2022 Assignment Data.sav. You do not
\nneed to generate a new random sample. If you have misplaced the random sample drawn for
\nAssignment Part 1 you should draw a new random sample as per the instructions contained in
\nthe Assignment part 1 document.
\nThe data file STA10003 SP1 2022 Assignment Data.sav can be found on the Canvas under
\nAssignments > Assignment \u2013 Part1
\nSubmission Instructions
\n\u2022 Your submission must be a single Word file or PDF file.
\n\u2022 Although a cover page is not required, you should include your name and student number
\nwithin the document [e.g., in footer].
\n\u2022 You must submit your file via Canvas by the specified due date and time. Only the last
\ndocument you submit will be retained by Canvas.
\n\u2022 Once submitted, please review your submission to ensure the correct file has been
\nsubmitted.
\n\u2022 This is an individual assignment. Do not share your work with other students. They will
\nhave a different random sample of data, so any copying will be detected.
\n2
\nASSIGNMENT \u2013 PART 2
\nFor your Assignment Part 2, you are required to complete the first three [3] questions by
\nproducing the appropriate analyses and writing the relevant report for each question. You
\nare also required to complete question 4, containing short answer questions.
\nFor each of the first three questions requiring SPSS, include the relevant output \u2013 tables and
\ngraphs. Note that many of the variables have similar names, so it is important that the correct
\nvariable be selected to address the question asked.
\nQuestion 1: Cigarette Consumption
\nThe variable Cigarettes gives an indication of number of cigarettes each Californian adult reported
\nsmoking in the previous day. Research indicated that American adults smoke, on average, 15
\ncigarettes per day. A respiratory researcher has claimed that Californian adults smoke more.
\nConduct a one sample t-test using the Cigarettes variable to test this claim.
\nProduce the relevant output and write a one-sample t-test report based on your output in the style
\npresented in Supplement G: Report writing for Hypothesis Tests. Include the relevant output with
\nyour answer.
\nQuestion 2a: Psychological Distress
\nThe variable PsychDistressScore gives an indication of psychological distress displayed by each
\nparticipant. Scores are based on the Kessler K6 screening scale which asks participants six
\nquestions relating to how often they felt nervous, hopeless, restless, depressed, worthless and
\n\u2018everything is an effort\u2019 over the previous month. Scores can range between 0 [no distress] and 24
\n[high distress].
\nA psychologist predicted that there is a difference in psychological distress score between people
\naged less than 40 years and people aged 40 or older. Conduct an independent samples t-test using
\nthe PsychDistressScore and AgeGrp variables to test this claim.
\nProduce the relevant output and write an independent samples t-test report based on your output
\nin the style presented in Supplement H: Report Writing for Independent Samples t-Test. Include
\nthe relevant output with your answer.
\nQuestion 2b: Assumption Checking for the independent samples t-test
\nCheck and comment on the assumptions of the independent samples t-test produced in Q2a. Include
\nthe relevant output with your answer.
\n3
\nQuestion 3a: Walking for leisure and walking to get somewhere
\nThe variable WalkLeisure gives an indication of the time each participant spent walking for
\nleisure, and the variable WalkSomewhere gives an indication of the time each participant spent
\nwalking \u2018to get somewhere\u2019 in particular. Each of these variables was measured in minutes spent
\nwalking in the previous week.
\nA health researcher believes that there is a difference, on average, between the time spent walking
\nfor leisure and the time spent walking purposefully in order to get somewhere in particular.
\nConduct a paired samples t- test [related samples t-test] using the WalkLeisure and
\nWalkSomewhere variables to test this prediction.
\nProduce the relevant output and write a paired samples t-test report based on your output in the
\nstyle presented in Supplement I (Reporting Writing for Paired Samples t-Test).
\nQuestion 3b: Assumption Checking for the paired samples t-test
\nCheck and comment on the assumptions of the paired samples t-test produced in Q3a. Include the
\nrelevant output with your answer.
\nQuestion 4: [does not require SPSS]
\nA dietician wants to investigate ice-cream consumption, as this is her favourite \u2018treat\u2019 food. She
\nhas recently learnt that Americans consume, on average, 20.8 litres of ice-cream per person per
\nyear. She wondered if Australians consumption of ice-cream differs to that of Americans, so she
\naccessed the data from an Australian Health Survey collected in 2021 pertaining to consumption
\nof various food groups. A random sample of the data collected provided information pertaining to
\nthe ice-cream consumption [litres per year] of Australians.
\n(a) What type of statistical test would be appropriate to investigate the dietician\u2019s prediction?
\n(b) What is the population we can draw conclusions about in this study?
\n(c) The dietician predicted that, on average, the consumption of ice-cream [litres per year] by
\nAustralians differs to that consumed by Americans. She conducted the appropriate hypothesis
\ntest and obtained a p-value of 0.143. Based on this result, the dietician concluded that
\nAustralians consume 20.8 litres of ice-cream per year. Is this conclusion valid or not?
\n(d) Comment on the validity of this conclusion. Provide justification for your answer.
\n4
\nPrior to submitting your Assignment via Canvas, use the following checklist as a guide to ensure
\nthat all of the relevant information is provided.
\nQ1 \u2013 Should include [as appropriate]:
\nThe One-sample t-test output including any additional output produced to answer the question and
\nreport the results of the One-sample t-test following the format of reports in Supplement G.
\nQ2 \u2013 Should include [as appropriate]:
\nThe Independent samples t-test output including any additional output produced to answer the
\nquestion and report the results of the Independent samples t-test following the format of reports in
\nSupplement H.
\nQ3\u2013 Should include [as appropriate]:
\nThe Paired samples t-test output and all other output produced to answer the question and report
\nthe results of the Paired samples t-test following the format of reports in Supplement I.
\nQ4\u2013 The answers should be presented with sections (a), (b), (c), and (d) clearly identified
\nChecklist:
\n\u2022 Correct variable used to produce output [note that many of the variables have similar names
\nso it is important to double-check that the correct variable has been used]
\n\u2022 Correct procedure performed
\n\u2022 Correct test values used
\n\u2022 All figures quoted in report correct according to your own output
\n\u2022 Including 95% confidence interval interpretations
\n\u2022 Significance interpreted correctly (i.e. not suggesting that the finding is significant when it
\nis not or vice versa)
\n\u2022 Correctly referring to the sample or population where \/ when appropriate
\n\u2022 Proof reading of reports for errors
\n5
\nSTA10003 Assignment Part 2 Marking Rubric [out of 27]:<\/p>\n
0\t1\t2\t3\t4\t5
\nQ1
\nOne-sample t-test
\n[5 marks]\tIncorrect procedure
\nand\/or no report,
\nreport covers no
\nrelevant\/correct
\nfeatures of output.\tCorrect procedure, but
\nincorrect variable or
\ncomparison and\/or major
\nerrors in report.\tCorrect output. Report
\npresented following format
\nused in course materials.
\nReport has no major errors,
\nhowever not all components
\nare included, and report has
\nmultiple minor errors.\tCorrect output. Report
\npresented following format
\nused in course materials.
\nReport has no major errors,
\nhowever not all components
\nare included, or report has
\nmultiple minor errors.\tCorrect output.
\nReport presented
\nfollowing format used in
\ncourse materials.
\nReport has only 1-2
\nminor errors.\tCorrect output. Report
\npresented following
\nformat used in course
\nmaterials. Report has no
\nerrorsand is clearly and
\nconcisely written.
\nQ2a
\nIndependent
\nsamples t-test
\n[5 marks]\tIncorrect procedure
\nand\/or no report,
\nreport covers no
\nrelevant\/correct
\nfeatures of output.\tCorrect procedure, but
\nincorrect variable or
\ncomparison and\/or major
\nerrors in report.\tCorrect output. Report
\npresented following format
\nused in course materials.
\nReport has no major errors,
\nhowever not all components
\nare included, and report has
\nmultiple minor errors.\tCorrect output. Report
\npresented following format
\nused in course materials.
\nReport has no major errors,
\nhowever not all components
\nare included, or report has
\nmultiple minor errors.\tCorrect output.
\nReport presented
\nfollowing format used in
\ncourse materials.
\nReport has only 1-2
\nminor errors.\tCorrect output. Report
\npresented following
\nformat used incourse
\nmaterials. Report has no
\nerrorsand is clearly and
\nconcisely written.
\nQ2b
\nAssumptions of the
\nindependent
\nsamples t-test
\n[3 marks]\tIncorrect answer\/or
\nno answer.\tIncomplete answer.
\nLimited information is
\nincluded.\tIncomplete answer.
\nMost information is included.\tComplete answer.
\nAll information is included.\tNot applicable\tNot applicable
\nQ3a
\nPaired samples
\nt-test
\n[5 marks]\tIncorrect procedure
\nand\/or no report,
\nreport covers no
\nrelevant\/correct
\nfeatures of output.\tCorrect procedure, but
\nincorrect variable or
\ncomparison and\/or major
\nerrors in report.\tCorrect output. Report
\npresented following format
\nused in course materials.
\nReport has no major errors,
\nhowever not all components
\nare included, and report has
\nmultiple minor errors.\tCorrect output. Report
\npresented following format
\nused in course materials.
\nReport has no major errors,
\nhowever not all components
\nare included, or report has
\nmultiple minor errors.\tCorrect output.
\nReport presented
\nfollowing format used in
\ncourse materials.
\nReport has only 1-2
\nminor errors.\tCorrect output. Report
\npresented following
\nformat used incourse
\nmaterials. Report has no
\nerrors and is clearly and
\nconcisely written.
\nQ3b
\nAssumptions of the
\npaired samples
\nt-test
\n[3 marks]\tIncorrect answer\/or
\nno answer.\tIncomplete answer.
\nLimited information is
\nincluded.\tIncomplete answer.
\nMost information is included.\tComplete answer.
\nAll information is included.\tNot applicable\tNot applicable
\nAssignmentTutorOnline<\/p>\n
6<\/p>\n
0\t1\t2\t3\t4\t5
\nQ4a
\n[1 mark]\tIncorrect answer\tCorrect answer\tNot applicable\tNot applicable\tNot applicable\tNot applicable
\nQ4b
\n[1 mark]\tIncorrect answer or
\nIncomplete answer\tCorrect answer\tNot applicable\tNot applicable\tNot applicable\tNot applicable
\nQ4c
\n[1 mark]\tIncorrect answer\tCorrect answer\tNot applicable\tNot applicable\tNot applicable\tNot applicable
\nQ4d
\n[3 marks]\tIncorrect answer or
\nIncomplete answer\tCorrect answer
\nLimited Justification\tCorrect answer
\nPartial Justification\tCorrect answer
\nFull Justification\tNot applica<\/p>\n","protected":false},"excerpt":{"rendered":"
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