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STA 205 Assignment 3

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2018/2019 Written for academic year
Institution Northern Kentucky University
Module STA 205
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This is a comprehensive and detailed assignment 3 with correct solutions for Sta 205.

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12/17/2018




Topic 3: Sampling Distribution of the Sample Proportion

Started: September 13, 2018, 1:52 pm
Last change: September 13, 2018, 4:00 pm
Time spent: 128 minutes
Total time questions were on‑screen: 100.1 minutes.

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Lastyear,66.34%ofNKUstudentswerefromthestateofKY.Repeatedsamplesofstudentswereselected,
andtheproportionofstudentsfromKYineachsamplewasrecorded.Whichofthegraphsbelowwouldbe
thecorrectsamplingdistributionfortheproportionofstudentsfromKYwhensamplesofstudentswere
selected?(Note:Youmayonlyattemptthisquestion2times.Apenaltywillbeassessedonyoursecond
attempt.)




SamplingDistribution1
SamplingDistribution2
SamplingDistribution3



Answer:SamplingDistribution1
Question 1: 2 out of 2 in 1 attempt(s)

, 12/17/2018 NKU Imath Assessment


Inearly2007theMortgageLendersAssociationreportedthathomeownersweredefaultingontheir
adjustableratemortgagesinrecordnumbers.Theforeclosurerateforthatparticularyearwas1.98%.

a.Toseeiftherehasbeenanychangeintheforeclosurerate,theassociationplanstosample333
homeownerstoseeiftheyareindangerofdefaultingontheirloan.Describethesamplingdistribution
ofthesampleproportionofhomeownerswithadjustableratemortgageswhoareindangerof
defaultingontheirloan.Roundanycalculatedvaluetofourdecimalplaces.

shape:Thesamplingdistributionofthesampleproportion  normally
distributed
Checks:np= andn(1p)=
mean: =
standarddeviation: =
b.Ifthesamplesizeweretoincreaseto1426,whichpartsofthedescriptionofthesamplingdistribution
wouldchange?Selectallthatareappropriate.

Shape
Mean
Standarddeviation


Answer:isnot
Answer:6.5934
Answer:326.4066
Answer:0.0198
Answer:0.0076
Answer:
Shape
Standarddeviation

Question 2: 4.8 (parts: 0.5, 0.25, 0.25, 1, 1, 1.8) out of 5 (parts: 0.5, 0.25, 0.25, 1, 1, 2)in 3 attempt(s)




https://imath.nku.edu/course/gb-viewasid.php?stu=11461&cid=335&asid=148010&uid=11461 2/10

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