STA10003 FOUNDATIONS OF STATISTICS WORK INTEGRATED LEARNING (WIL) ASSIGNMENT

ASSIGNMENTPART1

For your Assignment - Part 1 you are required to complete the first three [3] questions byproducing the appropriate analyses and writing the relevant report for each question. Youarealsorequiredtocompletequestions4 and5,whichcontainshortanswerquestions.

For each of the first three questions requiring SPSS, you should include the relevant output[eg tables and graphs] with your report.Note that some of the variables have similar names,soit isimportant thatthecorrect variableis selected toaddress thequestion asked.

Question1:Politicalorientationonsocialissues

The variable Q22_r1 indicates the political orientation on social issues for each respondent. UsingSPSS, summarise the Q22_r1 variable and write a paragraph explaining the key features of the dataobserved in the output in the style presented in Supplement B: Reporting information about singlevariables.

Question2:Age

The variable Q14 measures the age in years for each respondent.Using SPSS, summarise the Q14variable and write a paragraph explaining the key features of the data observed in the output in thestylepresented inSupplementB: Reportinginformation aboutsinglevariables.

Question3:ImaginationFacet

The variable Q1_IF measures the imagination facet for each respondent. This variable is scored ona scale from 1 to 4 with higher scores representing greater levels of imagination.Using SPSS,produce the relevant output to summarise the Q1_IF variable and write a paragraph explaining thekey features of the data observed in the output in the style presented in Supplement B: Reportinginformationaboutsinglevariables.

Question4:[doesnotrequireSPSS]

Imogen likes to enter competitions in which puzzles need to be solved as quickly as possible bycorrectly fitting all the pieces of a gadget together. In Competition A Imogen takes 263 seconds tocomplete the puzzle, in Competition B they take 231seconds, in Competition C Imogen takes 298seconds to complete the puzzle, and in Competition D they take 226 seconds. Overall completiontimes for participants in Competition A are normally distributed with a mean ? = 240 seconds and astandard deviation s= 24 seconds. Completion times for participants in Competition B arenormallydistributedwith amean? =262 secondsanda standarddeviation s=27 seconds.

Completion times for participants in Competition C are normally distributed with a mean ? = 261seconds and a standard deviation s= 32 seconds. Completion times for participants in CompetitionD are normally distributed with a mean ? = 271 seconds and a standard deviation s= 40 seconds. Inwhich competition was Imogens performance better, relative to others who took part in thatcompetition?Justifyyour answer,quoting relevantstatistics aspartofyourexplanation.

Question5:[DoesnotrequireSPSS.Nocalculationsarerequired]

The current Impressionist exhibition at The Lume in Melbourne is a very popular attraction.People from all over Australia, and from overseas have been visiting. The previous exhibitionat The Lume was a Van Gogh exhibition and 15% of all visitors to the Van Gogh exhibitionwere from overseas. As the number of tourists coming to Melbourne has increased themanagement of The Lume predicted that a higher proportion of overseas visitors will come tothe Impressionist exhibition than came to the Van Gogh exhibition. To test this prediction arandom sample of 850 visitors who came to the Impressionist exhibition at The Lume inFebruary2023 was taken.

1. What isthe populationwe candrawconclusionsabout inthisstudy?

Toanswerquestions(b) to(d),consideronlythesamplingdistribution showninFigure1.

Nocalculationsarerequired.

.118 .126 .134 .142 .150 .158 .166 .174 .182

Figure1.Distributionofsampleproportionsin300samplesofsize850takenfromapopulationwheretheproportionis 0.150

1. Whatdoesthe highlightedsection ofthedistributionin Figure 1represent?
2. In the random sample of 850 it was found that 17.6% of visitors were fromoverseas, a proportion of 0.176. Does this sample look like it belongs to thesamplingdistribution displayedin Figure1?Justify your
3. Using this random sample of 850 visitors what conclusion can you makeabout the prediction made by the management of The Lume? Make use ofthesampling distribution and youranswer in part c.

Howtogenerateyourrandomsampleof1500observations.

1. Open the STA10003 Sem 1 2023 Assignment Data.sav data file. From the Transform drop-downmenu,selectRandom NumberGenerators from themenu

2. From the Random Number Generators dialogue box, click the boxes beside SetActiveGeneratorand Set Starting Point as shown below.Then click

3. From theData drop-down menu, chooseSelectCases

4. From the Select Cases dialogue box, choose Random Sample of Cases and then click theSample button [the Sample button is pale blue with greyscale font until you select the Randomsampleof caseschoice]:

5. From the Select Cases: Random sample dialogue box, click Exactly and type 1500 cases fromthe first 2980. Again the information is pale blue until you select Exactly. We want togenerate a random sample of 1500 from the entire data set, so enter 1500 cases from the first2930

After entering the information above, click Continue [this returns you to the Select Cases DialogueBoxwhereyou willsee,nexttothe Samplebutton,confirmation ofthe 1500casesselected].

6. WecanremovetheunselectedcasesbyclickingtheDeleteunselectedcasesbuttonundertheOutputheading.

7. AfterclickingOK,your dataset will now only show the 1500 cases
8. Youshould now savethedata filewith a newname.

ThedatafileisreadytouseforyourAssignment!

Note: Your data file containing a random sample of 1500 cases will also be used inAssignmentPart 2, so ensurethatyou saveit in a safeplace.