MATH 110 Midterm: Exam 1 Solutions Spring 1995

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14 Mar 2019
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 1
BiostatisticsforPublicHealthMidterm
October22,2013,3:004:15
StudentName(print)______________________________
Iagreethatthismidtermisentirelymyownwork.Ihavenotreceivedorgivenany
informationtoanotherperson.Signature______________________________
Questions1and2:ConsiderarandomvariableXwithprobabilitydistributionasgiven
below
x 10 11 12 13
Pr(X=x) 0.1 0.2 0.3 0.4
1.Themeanofthediscretedistributionaboveis(selectsinglebestanswer)
A.10
B.11
C.12
D.0
E.Alwaysgreaterthanthemeanbecauseofkurtosis
2.ThevarianceoftherandomvariableY=3X+2is(selectsinglebestanswer)
A.9.0
B.11.0
C.1.667
D.1.0
E.Cannotbedeterminedfromtheinformationavailable

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 2
Questions3and4:Belowfindthestemandleafplotforarandomsampleof25
independentobservationsdrawnfromthediscreteprobabilitydistributionabove.
The decimal point is at the |
10 | 00000
11 | 000
12 | 00000
13 | 000000000000
3.Thestandarddeviationofthesampleaboveis1.21.A95%confidenceintervalforthe
truepopulationmeanis(showyourwork)
4.Intheproblemabove,ifasampleofsize100insteadofsize25hadbeendrawnwiththe
samemeanandvariance,the95%CIwouldbeapproximately
A.Onequarteraswide
B.Fourtimesaswide
C.Halfaswide
D.Twiceaswide
E.Fourtimesasprecise

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