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STA 205 Assignment 8

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2018/2019 Written for academic year
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Course STA 205
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This is a comprehensive and assignment n.o 8 with solutions for Sta 205.

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12/17/2018




Topic 8: Sampling Distribution of the Sample Mean

Started: October 23, 2018, 7:26 pm
Last change: October 24, 2018, 1:23 pm
Total time questions were on‑screen: 213.3 minutes.

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, 12/17/2018 NKU Imath Assessment

ThisquestionrequiresyoutouseStatCrunch tocreateahistogramandboxplot.Eachpartofthe
questionthatrequiresStatCrunchincludesdirectionsforcreatingtheoutputinthesoftware.Firstyou
needtoopenthedatasetinStatCrunch:

IfyourinstructorhasaskedyoutojoinaStatCrunchGroup,openthedatasetFebruaryAirline
Delays.
Or,opentheattachedExcelfile andcopy(Ctl+A,Ctl+C)thedata.OpenanewStatCrunch
worksheet,clickintheboxwiththetextVar1,andpastethedata(Ctl+V).Beforeworkingthrough
thequestions,makesurethevariablenamesareinthetoprowoftheworksheet.


AsampleofflightsdepartingfromeitherCincinnatiorChicagoinFebruary2015wasselected.Forthose
flightswhichweredelayed,thelengthofthedelay(inminutes)wasrecorded.UseStatCrunchtocreatea
histogramofthevariableDelaylength(Graph>Histogram).Thencalculatesummarystatisticsforthe
variableDelaylength(Stat>SummaryStats>Columns).Usetheoutputtodescribethedistributionround
anynumericanswerto4decimalplaces.

Thedistributionofdelaylengthhasashapethatis  .Themeandelaylengthwas
minutes,while50%ofthedelayedflightshadadelayof minutesormore.Theminimumdelay
lengthinoursampleof delayedflightswas minutes,whilethemaximumwas
minutes.Inthedistribution,themiddle %ofthedelayedflightshaddelaysbetween and72.5
minutes.Therearetwoflightswithdelaylengthsgreaterthan whichwouldlikelybeclassifiedas
unusualobservations.

Accordingto  Rule,weestimatethat  ofdelayedflightswillhavea
delaylengthbetween and minutes(calculatetheintervalthatis3standarddeviationsfrom
themean).

Note:Bothlimitsofyourintervalshouldbelogicalvaluesinthedistributionbeingdescribed.


Nowcreatesidebysideboxplots(Graph>Boxplot)comparingthedelaylength(Selectcolumn:Delay
length)groupedbydelaycause.Checkmarktheboxto"drawboxeshorizontally."Usetheboxplotsto
answerthefollowing:

Whichdelaycausehadthesmallestmediandelaylength?


NationalAirSystem Aircraft
Carrier Weather


Whichdelaycausehadtheleastvariabilityindelaylength?


Weather Aircraft
Carrier NationalAirSystem


Whichdelaycauseswereresponsibleforthetwounusuallylargedelaysinthehistogram?Youshouldselect
tworesponses.
https://imath.nku.edu/course/gb-viewasid.php?stu=11461&cid=335&asid=152137&uid=11461 2/9

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