Chamberlain College of Nursing MATH 225N Statistics
Final EXAM Questions with 100% Correct Answers |
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MATHi225NiWeeki8iFinaliExam
Questioni1
i1/1ipoints
Aifitnessicentericlaimsithatitheimeaniamountiofitimeithatiaipersonispendsiatitheigymiperivisitiisi33i
minutes.iIdentifyitheinullihypothesis,iH0,ianditheialternativeihypothesis,iHa,iinitermsiofitheipara
meteriμ.
Thatiisicorrect!
H0:iμ≠33;iHa:iμ=33iH0
:iμ=33;iHa:iμ≠33
H0:iμ≥33;iHa:iμ<33iH0
:iμ≤33;iHa:iμ>33
AnsweriExplanation
Correctianswer:
H0:iμ=33;iHa:iμ≠33
Letitheiparameteriμibeiuseditoirepresentitheimean.iTheinullihypothesisiisialwaysistatediwithisomeif
ormiofiequality:iequali(=),igreaterithanioriequalitoi(≥),iorilessithanioriequalitoi(≤).
Therefore,iinithisicase,itheinullihypothesisiH0iisiμ=33.iTheialternativeihypothesisiisicontradictoryit
oitheinullihypothesis,isoiHaiisiμ≠33.
Questioni2i1/
1ipoints
Theianswerichoicesibelowirepresentidifferentihypothesisitests.iWhichiofitheichoicesiareiright-
itaileditests?iSelectiallicorrectianswers.
,Thatiisicorrect!
•
H0:X≥17.1,iHa:X<17.1
•
•
H0:X=14.4,iHa:X≠14.4
•
•
H0:X≤3.8,iHa:X>3.8
•
•
H0:X≤7.4,iHa:X>7.4
•
•
H0:X=3.3,iHa:X≠3.3
•
AnsweriExplanationiC
orrectianswer:
H0:X≤3.8,iHa:X>3.8iH
0:X≤7.4,iHa:X>7.4
,Rememberitheiformsiofitheihypothesisitests.
• Right-tailed:iH0:X≤X0,iHa:X>X0.
• Left-tailed:iH0:X≥X0,iHa:X<X0.
• Two-
tailed:iH0:X=X0,iHa:X≠X0.iSoiinithisicas
e,itheiright-taileditestsiare:
• H0:X≤7.4,iHa:X>7.4
• H0:X≤3.8,iHa:X>3.8
Questioni3i1/
1ipoints
FinditheiTypeiIIierrorigivenithatitheinullihypothesis,iH0,iis:iaibuildingiinspectoriclaimsithatinoimor
eithani15%iofistructuresiinitheicountyiwereibuiltiwithoutipermits.
Thatiisicorrect!
Theibuildingiinspectorithinksithatinoimoreithani15%iofitheistructuresiinitheicountyiwereibuiltiwith
outipermitsiwhen,iinifact,inoimoreithani15%iofitheistructuresireallyiwereibuiltiwithoutipermits.
Theibuildingiinspectorithinksithatimoreithani15%iofitheistructuresiinitheicountyiwereibuiltiwithou
tipermitsiwhen,iinifact,imoreithani15%iofitheistructuresireallyiwereibuiltiwithoutipermits.
Theibuildingiinspectorithinksithatimoreithani15%iofitheistructuresiinitheicountyiwereibuiltiwithouti
permitsiwhen,iinifact,iatimosti15%iofitheistructuresiwereibuiltiwithoutipermits.
Theibuildingiinspectorithinksithatinoimoreithani15%iofitheistructuresiinitheicountyiwereibuiltiwith
outipermitsiwhen,iinifact,imoreithani15%iofitheistructuresiwereibuiltiwithoutipermits.
AnsweriExplanationiC
orrectianswer:
Theibuildingiinspectorithinksithatinoimoreithani15%iofitheistructuresiinitheicountyiwereibuiltiwith
outipermitsiwhen,iinifact,imoreithani15%iofitheistructuresiwereibuiltiwithoutipermits.
AiTypeiIIierroriisitheidecisioninotitoirejectitheinullihypothesisiwhen,iinifact,iitiisifalse.iInithisicase,it
heiTypeiIIierroriisiwhenitheibuildingiinspectorithinksithatinoimoreithani15%iofithe
, structuresiwereibuiltiwithoutipermitsiwhen,iinifact,imoreithani15%iofitheistructuresiwereibuiltiwith
outipermits.
•
•
•
Questioni4i1/
1ipoints
Supposeiaicheficlaimsithatiherimeatballiweightiisilessithani4iounces,ioniaverage.iSeveraliofihericus
tomersidoinotibelieveiher,isoitheichefidecidesitoidoiaihypothesisitest,iatiai10%isignificanceilevel,ito
ipersuadeithem.iSheicooksi14imeatballs.iTheimeaniweightiofitheisampleimeatballsiisi3.7iounces.iTh
eichefiknowsifromiexperienceithatitheistandardideviationiforiherimeatballiweightiis
0.5iounces.
• H0:iμ≥4;iHa:iμ<4
• α=0.1i(significanceilevel)
Whatiisitheitestistatistici(z-score)iofithisione-meanihypothesisitest,iroundeditoitwoidecimaliplaces?
Thatiisicorrect!
Testistatistici=iminusi2ipointi2i4$$
Testistatistici=iminusi2ipointi2i4i-icorrect
AnsweriExplanation
Correctianswers:
• Testistatistici=iminusi2ipointi2i4i$\text{Testistatistici=i}-2.24$
•
