> &(%#` bjbjmm g8$4`$(YYY#######$%h~'$=^Y==$$ =# =# "?#p##T0$0`$#( X($?#(?#LY"{ YYY$$q YYY`$====xxName_________________________
UNIT 3 REVIEW
An intelligence test score follows a normal distribution with a mean of 100 and a standard deviation of 15. Find the z score for a test score of 122. Make a sketch and show a formula.
For each of the following, draw a sketch and give an answer. Find the following areas under the normal curve (mean = 0 and standard deviation = 1).
to the left of z = 1.5
to the right of z = 0.8
between z = 0.5 and z = 0.5
between z = 1.0 and z = 2.0
Find the z score for the areas shown below (mean = 0 and standard deviation = 1).
a. b. c.
The heights of all 4th grade students follow a normal distribution with an average of 52 inches and a standard deviation of 6 inches.
Make a sketch and answer. If a 4th grade student is randomly selected and measured, find the probability of a height above 60 inches.
Make a sketch and answer. Find the height that is above 95% of all heights.
Make a sketch and answer. What percent of all students have a height below 48 inches?
How does changing the mean of a set of data affect the shape of a normal distribution? How does changing the standard deviation of a set of data affect the shape?
A study of the OHS student parking lot found that the average number of cars in the lot on a school day is 143 with a standard deviation of 8.
Make a sketch and answer. If a day is randomly selected, find the probability that there are between 140 and 150 cars in the lot.
Make a sketch and answer. If a day is randomly selected, find the probability that there are more than 150 cars in the lot.
Make a sketch and answer. Find the number of cars that there are in the top 10% of all days.
The life of a furnace is normally distributed with a mean of 12 years and a standard deviation of 3.4 years. The company would like to set the guarantee so that they will only have to replace 1% of the furnaces they sell. How many years should the company set the guarantee?
The top speeds of male cheetahs are normally distributed with a mean of 60 mph and a standard deviation of 7.5 mph.
Make a sketch and answer. Find the 25th percentile.
Make a sketch and answer. Find the speed that would put a cheetah in the fastest 25% of this group.
In the state of Wisconsin, the mean number of graduate credits that teachers have is 36 with a standard deviation of 15.
If we were to find the mean number of graduate credits for every group of 10 teachers, what would be the mean of these means?
If we were to find the mean number of graduate credits for every group of 10 teachers, what would be the standard deviation?
KEY
1. EMBED Equation.3
2. a. normalcdf(E99, 1.5, 0, 1) ( .93 or 93%
b. normalcdf(.8, E99, 0, 1) ( .21 or 21%
c. normalcdf(.5, .5, 0, 1) ( .38 or 38%
d. normalcdf(1, 2, 0, 1) ( .14 or 14%
3. a. invNorm(.92, 0, 1) ( 1.4
b. invNorm(.16, 0, 1) ( .99
c. invNorm(.79, 0, 1) ( .81
4. a. normalcdf(60, E99, 52, 6) ( .09 or 9%
b. invNorm(.95, 52, 6) ( 61.9 inches
c. normalcdf(0, 48, 52, 6) ( .25 or 25%
5. Changing the mean will not affect the shape of the graph, but will shift it left or right.
Changing the standard deviation will make the graph narrower and taller, or wider and shorter.
6. a. normalcdf(140, 150, 143, 8) ( .46 or 46%
b. normalcdf(150, E99, 143, 8) ( .19 or 19%
c. invNorm(.9, 143, 8) ( 153 cars
7. invNorm(.01, 12, 3.4) ( 4 years
8. a. invNorm(.25, 60, 7.5) ( 54.9 mph
b. invNorm(.75, 60, 7.5) ( 65.1 mph
9. a. 36 credits
b. EMBED Equation.3 credits
,./=X
M
P
h

~
Cs!&]
}
bĺĺĴ
hV^CJ
hCJh{h{CJH*
h{CJjhNqUmHnHu
h
H6CJ
hE86CJ
h
HCJ
hE85CJ
h
H5CJ
hE8CJD.
&F
&F$a$$a$ M
Q
`
a
b
c
d
e
f
g
h
vwxyz
&F^
&F
&F"#$%&_
`
cdefgdV^
&F
&F
&F+hS{} pJs"9:EL`aei}ǻǏ jh&@CJaJh7KCJaJ!jh&@h&@CJEHUaJj&!T
h&@UVh&@CJaJjh&@CJUaJhNqCJaJhE85CJaJhNq5CJaJ
hNqCJ
hE8CJH*
hCJ
hE8CJ
hV^CJ4TUrs
&F
&F
&Fstuvwxyz{FGfdgdk$a$gdNqgdNq
&F}~ {
./:>ST]amxy{ݾ!jhkhkCJEHUaJje!T
hkUVhkCJaJjhkCJUaJhtrYCJaJ jh)CJaJh)CJaJh7KCJaJh&@CJaJ jh&@CJaJ;;^_gdNqdhgdkdgdkhNqh7KCJaJ(/ =!"#$%@=k`oGAy/Z^Hx9x.Q3Q"v,ʋXHXx={!aꊢdڹww?svh\)c_nE\lDD4qRޚXtYcm8ISMq^e{cۤ{b,˚á
"\paJ.́.yÜs/.[0o.0w..yZ.B}UyEﯫu]?l}okse(O_\pE
\pu.e \pW\TZ]paގ.ru\pa죯.J\'r.?p\:I=k\o)wVp>~v}u=.t1yy=bq:N.ur{E\p^.j\pa;?ͅ]\ϳ~.sa_$}~">t>.~pa~.\/90w.>..̛.BOe17s.Y7כB߸BB0Wͅyryr>~0ωr!Zf_]}m]E}v}/..~Od\p!91..DB.D.DB.DB.DB.D.DBMe}])/5@=T1ВxV{ΖHx"x.CQu#D4F} !1g.0NEQFϥɗ^eq?%q?A^$"qqin
U:3wn3.q.oZybM<=noG3ґeYd`
/^xQu?0^?!\/Ax!9^ȁíPyeG(:a]ܔ?/ܿoru&̓Ezx&繼~3/́>},~d%^}ͿQ/~}@xU^y^BX
A:/_=ou¾յx!7ܨϧF}^B^ȋ:yaren^ȅy!ꯪ~^ȅy!</A^ʃ>8</@?x!r+Rg_x}8O[c/x'y5o}n~OQOx/˾3xaΨoM?//x/s^@ug;Y>xz/nqE7=E?/x^/^xx/^x/xJ/,˻[a@=f@B*xw+yFHx4x.Qo+DXUoBEHtz58FӨv朙$oR5+өUD\zNM}qqptzQèx42mؚڸ8O7F}}},1L$>^w_ۇϭҖxeYW]\]}/r˼07ㅹ/̏xa~}^}xaYy¦k븮[5/?y[zx!^_W?^ȣMB<8"^B>y\?/x~~NjS^W}gBlry^@/x~엾/yձC=y,Mku]^ݨﲟ^fxzO}^m/^x^x/^xxL/,6okDd
\b
c$A??3"`?2
k[щ ntDD
`!k[щ ntD`
`00xڥS=KA]"
)ETBgZ_,5v
;w~,1oyhqJܲcW
Ӷ[YsW9Ctp^Aox$
x$T}!4)7=B!uXkE;>1ho
!"#$'*+,./123456789:;<=>?@ABCDRoot Entry F)Data
WordDocumentg8ObjectPoolp_1411452454 FpTOle
CompObjfObjInfo
FMicrosoft Equation 3.0DS EquationEquation.39q"s@dc
z=x"
=122"10015
H"1.47Equation Native _1411453029FTTOle
CompObj
f
FMicrosoft Equation 3.0DS EquationEquation.39q"A#dc"
15
10
H"4.74Oh+'0 ,
LX
dpxObjInfo
Equation Native ]1Table00(SummaryInformation(
Name_________________________Oregon High SchoolNormal.dotdde11Microsoft Office Word@{=.@~,@܊՜.+,0hp
Oregon School District
'DocumentSummaryInformation8HCompObjqName_________________________Title
FMicrosoft Office Word Document
MSWordDocWord.Document.89q8@8Normal_HmH sH tH DADDefault Paragraph FontViVTable Normal :V44
la(k(No List..MQ`abcdefghvwxyz"#$%&_`cdefTUr s s
t
u
v
w
x
y
z
{

FGf
;
^
_
0000 000000 00 00000 00000 00000 00000 00000000000 00 00000 00000 00000 0000000 00 0000 0000 000 000000 00 000000 000000 00 000000 000000000000000000000000000000000000000000.0000 000000 00 00000 00000 000
j}
::Hob$}Ua׳f}( X b$5 zdb$l89xՊI5 ǐmW"$`oGAy/Z^s*."$1ВxV{Ζ\1"$@B*xw+yFn4@8(
P
3A "`P
3A "`P
3A "`B
S ?MNO
t@t@ $t@T!Ul! 9*urn:schemasmicrosoftcom:office:smarttagsplace9*urn:schemasmicrosoftcom:office:smarttagsStateo
#,MTjq
?
F
b
i
QR]^
!MUgh
<
=
b
j
333333333333333333333.Qhp
<
c^T^!.6hGmTK]V&ci4Z~z@0^`0o(.0^`0o(.0^`0o(.0^`0o(.0^`0o(.0^`0o(.ci.6hG^T^!TK]c~z
3E8&@
HtrYNq7KV^k){
;
^
@8' @UnknownG:Ax Times New Roman5Symbol3&:Cx Arial"qhS
gςgK$24d
2QHX(?2Name_________________________Oregon High Schooldde$