ASSIGMENT INDIVIDU(azie).doc

8/14/2019 ASSIGMENT INDIVIDU(azie).doc

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SMS 3113

STATISTICAL LABORATORY

Semester 2 Sessions 2012/2013

ASSIGNMENT 4:

Individual Assignment

LECTURER: R! NOR A"A# SAMAT

N$me M$tri% No!

A&e'$( Binti Is$ 200)103*02)

INSTRUCTIONS:


2/15

1! T(is Assi+nment ,onsists o- T#REE

.estions! Anser ALL UESTIONS!

2! S(o 'or or! M$rs m$' e

e,te -or in,om56ete or!

3! Yo nee to t'5e 'or $nsers!

4! It is 'or res5onsii6it' to m$e sre

t($t t(is $ssi+nment e 'or ori+in$6

or!

7! 86e$se smit t(is $ssi+nment to

r!$&$(s$m$t9'$(oo!,om e-ore 11 $m

on 23rA5ri6 2013!

*! T(e -66 m$r -or t(is Assi+nment is

100 $n t(is $ssi+nment ,ontrites 20;

to 'or o??????????????

UESTION 1


3/15

A major oil company developed a petrol additive that was

supposed to increase engine efficiency. Twenty-two cars were

test driven both with and without the additive, and the number of

kilometres per litre was recorded. Whether the car was automatic

or manual was also recorded and coded as ! manual and " !automatic.

#uring an earlier trial twenty-two cars were test driven using the

additive. The mean number of kilometres per litre was $.%.

&ou are interested in addressing the following 'uestions(

$@Are t(e ,$rs in t(e 5resent tri$6 rnnin+ more

e--i,ient6' t($n t(ose in t(e e$r6ier tri$6

)$ ( *+$.%

) ( * $.%claim

using /0//

One-Sample Statistics

N Mean Std. Deviation Std. Error Mean

withadd 22 13.86 2.748 .586

One-Sample Test

Test Value 1!.5

t d" Si#. $2%tailed& Mean Di""eren'e

(5) *on"iden'e +nterval o" the

Di""eren'e

,ower -er

withadd 5.741 21 .!!! 3.364 2.15 4.58

" using 1I2ITA3


4/15

One-Sample T: withadd

Test of mu = 10.5 vs not = 10.5

Variable N Mean StDev SE Mean 95% CI T

!it"a## $$ 1.&'' $.()&1 0.5&59 *1$.')5$+ 15.0&$1, 5.() 0.000

4 using 56758

t-Test( 0aired Two /ample for 1eans

withadd

test

mean

1ean4.9:4:4

:4: $.%

;ariance9

$%" $

?bservations "" ""

0earson 7orrelation @#I;$B)ypothesiCed 1ean#ifference $.%

df "

t /tat

-".9$4"

4"9

0TD!t one-tail

".


5/15

The cars in the present trial is running more efficiently than

those in the earlier trial because the mean is greater than $.%.

@oes en+ine e--i,ien,' im5ro


6/15

4 using 56758

tTest: 8$ire To S$m56e -or Me$ns

$ri$6e 1 $ri$6e 2

Me$n 9.% 4.9:4:4:4:$ri$n,e .=$>


7/15

,@ oes en+ine e--i,ien,' it( $n it(ot t(e $iti


8/15

Estimate for #ifferene/ -5.'')

95% CI for #ifferene/ *-(.$$55 -.501(),

T-Test of #ifferene = 0 *vs not =,/ T-Value = -5.&$ -Value = 0.000 D2 =

)

4 using 56758

t-Test: Two-Sample Assuming Equal a!iances

Variable 1 Variable 2

"ean #$% 1&$#'&'&'&'

a!iance 11$110% $%%1*#0%2

+,se!ations 22 22

.oole/ a!iance $&&%*#

Hpotesie/ "ean 3i44e!ence 0

/4 *2t Stat -%$#222

.(T5=t) one-tail &$%#E-0

t 6!itical one-tail 1$'#1%2

.(T5=t) two-tail $1'E-0

t 6!itical two-tail 2$01#0#2

At E ! $.$% ,p-alue = 0$00

DECISION:

Te .-alue is 0$00 wic is less tan 7 alue Tus8 we !e9ect H0$

CONCLUSION:

Te!e4o!e8 engine e44icienc wit an/ witout te a//itie /i44e! ,etween manual

an/ automatic ca!s


9/15

UESTION 2

?ne hundred car drivers who were stopped by police for some

violation were also checked to see if they were wearing their seat

belts. The following table records the results of this survey.

e$rin+ se$t e6t Not e$rin+ se$t

e6t

Men 4> "

omen 4" 4

Test at ".%G significance level whether being a man or a woman

and wearing or not wearing a seat belt are related by using

statistical software.

Anser:

+ener se$te6t -re.en,'

4>

" "

" 4"

" " 4

)$ ! the two categorical variables are dependent

) ! the two categorical variables are related claim


10/15

using 1I2ITA3

Tabulated statistics: GENDER; SEATE!T

3sin4 freuenies in 26E7

6o!s/ 8ENDE6 Columns/ SET:E;T

1 $ ll

1 ) $1 55

'.0 1&.(0 55.00

$ $ 1 )5

$9.(0 15.0 )5.00

ll '' ) 100

''.00 ).00 100.00

Cell Contents/ Count

E


11/15

"ender # seatbelt $r%sstabulati%n

seatelt

Totalwear elt not wear elt

#ender en *ount 34 21 55

Ee'ted *ount 36.3 18.7 55.!

) within #ender 61.8) 38.2) 1!!.!)

) within seatelt 51.5) 61.8) 55.!)

) o" Total 34.!) 21.!) 55.!)

woen *ount 32 13 45

Ee'ted *ount 2(.7 15.3 45.!

) within #ender 71.1) 28.() 1!!.!)

) within seatelt 48.5) 38.2) 45.!)

) o" Total 32.!) 13.!) 45.!)

Total *ount 66 34 1!!

Ee'ted *ount 66.! 34.! 1!!.!

) within #ender 66.!) 34.!) 1!!.!)

) within seatelt 1!!.!) 1!!.!) 1!!.!)

) o" Total 66.!) 34.!) 1!!.!)

$hi-S&uare Tests

Value d"

s. Si#. $2%

sided&

Ea't Si#. $2%

sided&

Ea't Si#. $1%

sided&

/earson *hi%Suare .(52a 1 .32(

*ontinuit *orre'tion .583 1 .445

,ielihood 9atio .(5( 1 .327

isher0s Ea't Test .3(8 .223

,inear%%,inear sso'iation .(43 1 .332

N o" Valid *ases 1!!

a. ! 'ells $.!)& have ee'ted 'ount less than 5. The iniu ee'ted 'ount is 15.3!.

. *outed onl "or a 22 tale

from table ,

p-value! $.$4"=, E! $.$"%

ECISION:


12/15

since p-value E, we do not reject )$

CONCLUSION:

so, the two categorical variables are dependent. Ten8 leel wete!

,eing a man o! a woman an/ wea!ing o! not wea!ing a seat ,elt a!e not !elate/$

UESTION 3

#iscuss the advantages and disadvantages of using 5Hcel, /0//

and 1initab in analysing statistical data. &our report must contain

the following information.

a Introduction to 1icrosoft 5Hcel, /0// and 1initab.

E%,e6 S8SS Minit$

5Hcel is the

spreadsheet program

created by 1icrosoft.

A powerfulspreadsheet that is

easy to use and

allows you to store,

manipulate,

analyCe, and

visualiCe data.

used "or surve authorin#

and deloent&: tet

analti's: statisti'al

analsis: and 'ollaoration

and deloent.

is concerned, pay

close attention to

how many decimal

places you allow in

each cell. If your

cell is too small,

the number will be

rounded up and its

possible it could be

radically different

from the number


13/15

/0// J 1I2ITA3.

b Advantages and disadvantages of using 5Hcel, /0// and

1initab.#isadvantage(

E%,e6 S8SS Minit$ cannot miH

numbers with

letters in a cell.

does not have anundo option whenyou delete avariable.

default graphics

are poor and noteasily customiCableto make thembetter.

It is eHpensive.

There are oftencompatibility issueswith prior versions

time-consuming for

compleH

procedures.

Advantages(

E%,e6 S8SS Minit$

can use anyspreadsheetprogram foranalyCing data.

the instructionsgiven here arespecific.

is a versatileprogram presenton most computersat home and incomputer clusters.

very user friendly.

good for keeping

variables seperate

by category.

The range ofstatistical analysesthat 1initab canperform straightafter installation isnot as wide as inother packagessuch as /0//.

1initab has adynamic worksheetand loadmeasurementcolumn until >$$$.

easy to use, andoperates through


14/15

an interface that isintuitive to anyonefamiliar with otherstatistics packages.

The result is more

accurate.

c 5Hample.

E%,e6:

tTest: 8$ire To S$m56e -or Me$ns

$ri$6e 1 $ri$6e 2

Me$n 9.% 4.9:4:4:4:$ri$n,e .=$>


15/15

!it"a## $$ 1.&'' $.()&1 0.5&59

Differene $$ -5.'') $.9095 0.'191$

95% CI for mean #ifferene/ *-'.'511( -).0('10,

T-Test of mean #ifferene = 0 *vs not = 0,/ T-Value = -&.'' -Value = 0.000

d Keferences.

&ahoo answer

e)ow tech

http(office.microsoft.comen-$$web-apps-

helpintroduction-to-eHcel-web-app-)A$$4

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