A=
AP=<t><c></t>
C0=V9
C1=V13
C2=
C3=
C4=
C5=
C6=
C7=
C8=
C9=
ES=Answers may vary.
F0=
F1=
F2=
H=$.hint$
INST=
M1=
M2=
M3=
M4=
M5=
M6=
M7=
M8=
M9=
MS=1
MW1=
MW2=
MW3=
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N=
Q=Two classes, each with 100 students, took an examination with a<br>maximum possible score of 100.  In the first class, the mean score<br> was V0, and the standard deviation was V2.  In the second class,<br> the mean score was V1, and the standard deviation was V3.  Which<br> of the two classes do you think had more scores of V4 or better?
SA=Answers may vary.
T=M
TF=-1
TL=
TOL=+1E-4
U=NOUNIT
V0=I[50,80,5]
V1=I[50,80,5:V0]
V10=E"((V6>=V4)?'first class':'V11')"
V11=E"((V7>=V4)?'second class':'second class')"
V12=E"assert((V6>=V4&&V8<=V4)||(V8>=V4&&V6<=V4))"
V13=E"((V5>=V4)?'second class':'V14')"
V14=E"((V6>=V4)?'second class':'V15')"
V15=E"((V7>=V4)?'first class':'first class')"
V16=S"<i>x</i>"
V17=S"<i>s</i>"
V18=E"((V6>=V4&&V8<=V4)?'so we would expect several scores $geq$ V4':'so the probability of scores $geq$ V4 is very small')"
V19=E"((V8>=V4&&V6<=V4)?'so we would expect several scores $geq$ V4':'so the probability of scores $geq$ V4 is very small')"
V2=I[5,15]
V20=E"assert(V6<=100)"
V21=E"assert(V8<=100)"
V22=E"assert(V0<V4)"
V23=E"assert(V1<V4)"
V3=I[5,15:V2]
V4=I[75,95,5:V0,V1]
V5=I(V0+V2)
V6=I(V0+(2*V2))
V7=I(V1+V3)
V8=I(V1+(2*V3))
V9=E"((V5>=V4)?'first class':'V10')"
W=<step=p>Let V16 represent the mean and V17 the standard deviation.</step>\n<step>For the first class, V16 + V17 = V5, V16 + 2V17 = <box>V6</box>,<br> V18.</step>\n<step>For the second class, V16 + V17 = <box>V7</box><hide>, V16 + 2V17 = V8, <br>V19.</hide></step>
YN=-1
cnum=2
followup=
ilev=0
mcdm=1
mdm=0
mpc=unspecified
mpn=2
mpv=2.0
mwnum=2
ncd=-1
subject=unspecified
varnum=28
commentV0=     //class1
commentV1=          //class2
commentV2=      //class1
commentV3=               //class2