Question
TheMinisterofIndustryandTradeis interestedinthecharacteristics oflocalbusinesses.Hedecides to concentrateonbusinessesintheParramattaCBDandtheSydneyCBD.Heemploysaresearch companytosurvey70localbusinesses.Thiswascarriedoutandthefollowing variablesrecorded. Column1 Profit Whatwasyourprofit? Column2 Advertising Howmuchmoneywasspentonadvertisinginthefinancialyear? Column3 Employee Howmanyemployeesworkatyourbusiness? Column4 Age Howoldisthecompany(inyears)? Column5 Type Isthebusinessprivatelyheld,publiclytradedorafranchise? (Private=1,Public=2,Franchise=3) Column6 Location
TheMinisterofIndustryandTradeis interestedinthecharacteristics oflocalbusinesses.Hedecides to concentrateonbusinessesintheParramattaCBDandtheSydneyCBD.Heemploysaresearch companytosurvey70localbusinesses.Thiswascarriedoutandthefollowing variablesrecorded.
Column1 Profit Whatwasyourprofit?
Column2 Advertising Howmuchmoneywasspentonadvertisinginthefinancialyear?
Column3 Employee Howmanyemployeesworkatyourbusiness?
Column4 Age Howoldisthecompany(inyears)?
Column5 Type Isthebusinessprivatelyheld,publiclytradedorafranchise?
(Private=1,Public=2,Franchise=3)
Column6 Location Whereisthecompany?(1=ParramattaCBD,2=SydneyCBD)
Question1 (7marks)
Test,atthe5%levelofsignificance,whethertheaverageprofitdiffersbetweenbusinesseslocatedin ParramattaCBDorlocatedinSydneyCBD.
[YoumayassumethattheunknownpopulationstandarddeviationsforParramattaandSydney
businessesareequal]
QUESTION2 (6marks)
Test,atthe5%levelof significance,whetherlocation(ParramattaorSydneyCBD)ofthebusinessis
relatedtotypeofbusiness(privatelyheld,publiclytradedorfranchise)?
Question3 (7marks)
Canweconclude, ata5%levelofsignificance, thatalinearrelationshipexistsbetweenthe company'sProfit(y)andtheamountspentonAdvertising(x)?
| Profit | Advertising | Employee | Age | Type | Location |
| 10419 | 4369 | 11 | 8.2 | 1 | 1 |
| 18882 | 5790 | 2 | 8.6 | 2 | 2 |
| 20998 | 6270 | 10 | 10.4 | 2 | 1 |
| 17536 | 5055 | 11 | 2.5 | 1 | 1 |
| 18690 | 5759 | 8 | 9.5 | 3 | 2 |
| 17343 | 4963 | 5 | 9.5 | 1 | 1 |
| 12919 | 4442 | 13 | 6.2 | 2 | 2 |
| 18690 | 4818 | 11 | 10.6 | 2 | 1 |
| 10419 | 4044 | 2 | 8 | 2 | 2 |
| 19652 | 5904 | 3 | 8 | 1 | 2 |
| 12342 | 4124 | 1 | 2.9 | 3 | 2 |
| 15997 | 5372 | 8 | 8.8 | 2 | 1 |
| 13496 | 4748 | 8 | 9.7 | 2 | 1 |
| 13496 | 4390 | 8 | 6.6 | 2 | 1 |
| 20421 | 5259 | 1 | 3.8 | 1 | 2 |
| 16574 | 5139 | 11 | 7.3 | 3 | 2 |
| 18113 | 4877 | 3 | 4.5 | 1 | 1 |
| 17728 | 5282 | 3 | 2.3 | 1 | 1 |
| 19844 | 5306 | 5 | 7.1 | 3 | 1 |
| 10611 | 3814 | 11 | 10.1 | 2 | 1 |
| 11380 | 4031 | 8 | 7.3 | 1 | 2 |
| 11380 | 4270 | 2 | 8.4 | 1 | 1 |
| 15805 | 5119 | 3 | 7.3 | 3 | 2 |
| 15997 | 4843 | 3 | 9.3 | 3 | 2 |
| 11765 | 4573 | 5 | 8.6 | 1 | 1 |
| 17728 | 5141 | 2 | 3.8 | 1 | 1 |
| 19652 | 5417 | 8 | 4.9 | 3 | 2 |
| 17921 | 5298 | 3 | 6.6 | 1 | 1 |
| 11765 | 3970 | 5 | 2.3 | 1 | 2 |
| 15035 | 4355 | 10 | 9 | 2 | 2 |
| 10034 | 4085 | 13 | 8 | 1 | 2 |
| 14843 | 4413 | 2 | 3.4 | 2 | 1 |
| 10803 | 3964 | 1 | 2.3 | 3 | 2 |
| 15612 | 5002 | 11 | 7.7 | 3 | 1 |
| 9649 | 3700 | 5 | 3.4 | 3 | 2 |
| 11765 | 4487 | 5 | 5.6 | 3 | 2 |
| 17343 | 4648 | 11 | 5.1 | 3 | 1 |
| 20421 | 5092 | 8 | 9.5 | 3 | 2 |
| 15997 | 4945 | 5 | 10.1 | 2 | 2 |
| 9649 | 3700 | 11 | 8.8 | 2 | 1 |
| 15997 | 4746 | 5 | 3.4 | 1 | 2 |
| 15805 | 5071 | 7 | 3.4 | 3 | 2 |
| 17921 | 4974 | 3 | 3.4 | 3 | 1 |
| 14843 | 4379 | 10 | 10.1 | 1 | 1 |
| 15997 | 4684 | 5 | 4 | 2 | 1 |
| 20229 | 5006 | 11 | 6 | 2 | 1 |
| 13304 | 4787 | 10 | 8.6 | 3 | 2 |
| 11573 | 4530 | 5 | 10.6 | 1 | 2 |
| 12342 | 4629 | 13 | 7.3 | 3 | 1 |
| 19459 | 5192 | 11 | 3.6 | 1 | 1 |
| 15420 | 5002 | 8 | 8.8 | 3 | 1 |
| 13304 | 4873 | 7 | 9.7 | 3 | 1 |
| 15035 | 4968 | 3 | 7.3 | 3 | 1 |
| 11957 | 4136 | 15 | 9.9 | 3 | 1 |
| 18498 | 4847 | 11 | 3.4 | 3 | 2 |
| 16189 | 4797 | 10 | 4.5 | 3 | 2 |
| 10611 | 4327 | 10 | 9.7 | 3 | 2 |
| 14650 | 5107 | 7 | 3.8 | 2 | 2 |
| 9649 | 3684 | 13 | 9.9 | 1 | 2 |
| 14843 | 4696 | 5 | 8.6 | 3 | 1 |
| 14073 | 4711 | 3 | 6.6 | 1 | 1 |
| 11573 | 4533 | 8 | 8.4 | 1 | 1 |
| 17728 | 5273 | 15 | 7.1 | 3 | 2 |
| 16959 | 4628 | 5 | 10.4 | 2 | 1 |
| 20614 | 5987 | 8 | 5.8 | 3 | 1 |
| 15612 | 4590 | 11 | 3.2 | 2 | 2 |
| 20421 | 5738 | 11 | 6 | 2 | 2 |
| 11957 | 4403 | 15 | 10.6 | 2 | 1 |
| 10996 | 3925 | 3 | 2.5 | 1 | 2 |
| 20229 | 5708 | 8 | 6.4 | 2 | 2 |
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