Question
Variable 2 (Satisfaction) Variable 6 (Spend) 1 1200 2 2000 1 800 2 1000 1 2300 2 2000 2 1300 2 1200 2 1900 1
Variable 2 (Satisfaction) | Variable 6 (Spend) | |
1 | 1200 | |
2 | 2000 | |
1 | 800 | |
2 | 1000 | |
1 | 2300 | |
2 | 2000 | |
2 | 1300 | |
2 | 1200 | |
2 | 1900 | |
1 | 2000 | |
3 | 1900 | |
1 | 1400 | |
3 | 2600 | |
1 | 2400 | |
1 | 500 | |
2 | 1900 | |
1 | 1100 | |
2 | 1000 | |
1 | 1500 | |
3 | 1300 |
Ata5%levelofsignificance,conducttheappropriatetestofhypothesisthatdetermineswhetherat leastoneofthethreesubsetsforVariable2(inyoursurveyandresponsesinProblem1)hasa significanteffectonthepopulationmeanrelatingtoVariable6.Inyouranswermakesurethatyou showH0andHa,sketchthesamplingdistributionshowingthecriticalvalue(s)andtherejectionregionandstateyourdecisionandconclusioninthecontextofyoursurvey.
UseStatCrunchtogeneratetheresultswindowthatdisplaystheappropriateteststatisticforthisproblem.Handsketchtheresultswindow(asdisplayedinStatCrunch)intheteststatisticsectionofthishypothesistestandthenwriteintheteststatisticbelowthesketch.
Hint:InStatCrunchstartbydisplayingthethevaluesofVariable6foreachofthethreesubsetsfor Variable2inthreenewcolumnsofyoursurveydatafilebydoingthefollowing:
Data,Arrange,SplitandthenselectthequantitativevariableinthisquestionastheColumnVariableandthequalitativevariableinthisquestionasthe"Splitby:"variable.[8marks].
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