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Chamberlain College of Nursing MATH 225N Statistics Final Exam Questions with 100% Correct Answers | Verified | Latest Update
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Chamberlain College of Nursing MATH 225N Statistics Final EXAM Questions with 100% Correct Answers | Verified | Latest Update A fitness center claims that the mean amount of time that a person spends at the gym per visit is 33 minutes. Identify the null hypothesis, H0, and the alternative hypoth...

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  • November 9, 2024
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Chamberlain College of Nursing MATH 225N Statistics
Final EXAM Questions with 100% Correct Answers |
Verified | Latest Update

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$\text{Testistatistici=i}-2.24$

•

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