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
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
Variable 2 (Satisfaction) Variable 6 (Spend)
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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