Statistics Exercise No. 1

8/18/2019 Statistics Exercise No. 1

1/8

De La Salle UniversityBRO. ANDREW GONZALES COLLEGE OF EDUCATION

Manila

ELM5!M " EDUCATIONAL STATISTICS

#E$er%ise N&. '

Dire%ti&ns( Rea) t*e +&ll&,in- r&/le0 an) )& t*e statisti%al analyses asin)i%ate). Use t*e S1SS r&-ra0 in s& )&in-.

. A %&ns20er r&)2%ts %&0any ,ants t& 0eas2re t*e e3e%tiveness &+ )i3erent tyes &+ a)vertisin- 0e)ia in t*e r&0&ti&n &+ its r&)2%ts.Se%i4%ally t*e %&0any is intereste) in t*e e3e%tiveness &+ ra)i&a)vertisin- an) ne,saer a)vertisin-. A sa0le &+ 66 %ities ,it*

ar&$i0ately e72al &2lati&ns is sele%te) +&r st2)y )2rin- a test eri&)&+ &ne 0&nt*. Ea%* %ity is all&%ate) a se%i4% e$en)it2re level /&t* +&rra)i& a)vertisin- an) +&r ne,saer a)vertisin-. T*e sales &+ t*e r&)2%t#in t*&2san)s &+ es&s' an) als& t*e levels &+ 0e)ia e$en)it2re #int*&2san)s &+ es&s' )2rin- t*e test 0&nt* are re%&r)e) ,it* t*e +&ll&,in-res2lts(

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89: ! ;!6 8 ! ;!

:


2/8

66 99 9! ;!

a. Cal%2late t*e 0ean stan)ar) )eviati&n s>e,ness an) >2rt&sis &+ t*ea/&ve )ata.

/. Cal%2late t*e %&rrelati&n %&e?%ients /et,een sales an) ra)i&a)vertisin- sales an) ne,saer a)vertisin- an) ra)i& an)ne,saer a)vertisin-.

%. Deter0ine t*e 02ltile re-ressi&n e72ati&n an) si-ni4%an%e &+ t*ere-ressi&n e72ati&n at @ !.!.

). 1re)i%t t*e sales +&r a %ity in ,*i%* ra)i& a)vertisin- is 1*1 6!!!! an)ne,saer a)vertisin- is 1*1 6!!!!.

6. T*e )ire%t&r &+ -ra)2ate st2)ies at a %&lle-e &+ /2siness ,ants t& re)i%tt*e s2%%ess &+ st2)ents in an MBA r&-ra0 2sin- e$lanat&ry varia/les

2n)er-ra)2ate -ra)e &int avera-e an) GMAT s%&re. A ran)&0 sa0le &+ :! st2)ents in)i%ates t*at 6! s2%%ess+2lly %&0lete) t*e r&-ra0 an) !)i) n&t.

S2%%ess in MBA1r&-ra0

Un)er-ra)2ate G1A GMAT S%&re

Uns2%%ess+2l 6.8: =9Uns2%%ess+2l :.!5 559Uns2%%ess+2l :. 588Uns2%%ess+2l :.6; ==Uns2%%ess+2l :.:= 58;

Uns2%%ess+2l :.; 5=9Uns2%%ess+2l :.;5 5;6Uns2%%ess+2l :.=! 55Uns2%%ess+2l :.=; 59:Uns2%%ess+2l :.59 5:=S2%%ess+2l 6.95 =


3/8

S2%%ess+2l :.9! =6;S2%%ess+2l :.9< =5;S2%%ess+2l :. +&r ! ,ee>s. D2rin- ea%* ,&r> &2t t*ey ,al> atrea)0ill +&r 6! 0in2tes ,*ile t*eir *eart rate is 0aintaine) /et,een =! eri&). A+ter ! ,ee>s all s2/e%ts are /r&2-*t int& t*e la/ an)as>e) t& s&lve 0ental arit*0eti% r&/le0s 2n)er t*e t*reat &+ ele%tri%s*&%> +&r &&r er+&r0an%e. T*e 0eas2re &+ stress is t*e s2/e%ts *eartrate )2rin- t*e tas>. T*e e$eri0ental *y&t*esis is t*at )2rin- stresst*e aer&/i% -r&2 ,ill *ave a l&,er *eart rate t*an t*e %&ntr&l -r&2. T*en2ll *y&t*esis is t*at t*e &2lati&n 0eans are t*e sa0e. 1re+&r0

statisti%al analysis t& veri+y t*e vera%ity &+ t*is n2ll *y&t*esis.

Aer&/i% Trainin- C&ntr&l


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/ase) &n reeate)0eas2res )esi-n. Ea%* s2/e%t ,rites a aer 2sin-an IBM%&0ati/le %&02ter an) a Ma%int&s* %&02ter. Ea%* ra, s%&rein t*e ta/le reresents a %&0&site in)e$ &+ t*e len-t* &+ t*e aer an)its 72ality. i-*er n20/ers ree%t -reater 72antity an) 72ality. Set al*aat !.!5.

IBMC&0ati/le

Ma%int&s* IBMC&0ati/le

Ma%int&s*

8598=5

969!

68


5/8

De La Salle University

SCIENCE EDUCATION DE1ARTMENTManila

ELM5!M#E$er%ise N&. 6'

Dire%ti&ns( S&lve t*e +&ll&,in- statisti%al r&/le0s 0an2ally an) 2sin- t*eS1SS. S*&, all ertinent stes in y&2r 0an2al s&l2ti&ns. F2rt*er s2/0it t*e)ata vie, )islay &+ y&2 analysis aart +r&0 t*e S1SS &2t2ts.

I. OneFa%t&r ANOHA

. A %lini%al sy%*&l&-ist is intereste) in eval2atin- treat0ents +&rani% atta%>s. T*e n20/er &+ re&rte) ani% atta%>s )2rin- t*e =0&nt* r&-ra0 &+ treat0ent is 2se) as t*e )een)ent varia/le.Fi+teen %lients s23erin- +r&0 ani% )is&r)er are ran)&0ly assi-ne)t& t*ree %&n)iti&ns. In t*e Breat*in- %&n)iti&n %lients are ta2-*t*&, t& /reat*e sl&,ly an) )eely at t*e 4rst si-n &+ atta%>. Clientsin t*e Me)i%ati&n %&n)iti&n are -iven 0- &+ a 0e)i%ine t*reeti0es a )ay. Clients in t*e C&ntr&l %&n)iti&n are n&t r&vi)e) ,it*any treat0ent. T*e )ata are resente) in t*e +&ll&,in- ta/le.Deter0ine 0ean )i3eren%es i+ any 2sin- t*e ANOHA an) t*e 0&st

ar&riate 02ltile %&0aris&n r&%e)2re an) ,rite a s&2n) n&nstatisti%al interretati&n &+ t*e statisti%al res2lts.

Breat*in- Me)i%ati&n C&ntr&l=6658:

65:<6

86=<!

6. A %lini%al sy%*&l&-ist *y&t*esies t*at tensi&n r&%e)2re /y+r2strati&n %an /e relieve) i+ t*e ers&n is all&,e) t& res&n)a--ressively. &,ever it is 2n>n&,n ,*at +&r0 t*e a--ressi&n02st ta>e in &r)er +&r tensi&n re)2%ti&n t& &%%2r. All s2/e%ts in t*ee$eri0ent are as>e) t& %&0lete an intelle%t2ally )e0an)in- tas>.W*ile ,&r>in- &n t*e tas> t*e e$eri0ent >ees interr2tin- t*es2/e%t %&rre%tin- 0ista>es &3erin- a)vi%e an) sl&,in- t*er&-ress &+ t*e s2/e%t. A+ter t*is *ase &+ t*e e$eri0ent t*e


6/8

in)een)ent varia/le is )e4ne) /y t*e &&rt2nity a3&r)e) t*es2/e%t t& e$ress a--ressi&n. In t*e Overt A--ressi&n %&n)iti&ns2/e%ts /e%&0e a Jtea%*erK an) are re72ire) t& a)0inister a l&2)n&$i&2s n&ise ,*en a %&n+e)eratelearner 0a>es a 0ista>e &n a0e0&ry tas>. In t*e Her/al A--ressi&n %&n)iti&n s2/e%ts are

as>e) t& ,rite an eval2ati&n &+ t*e e$eri0ent ,*i%* ,ill /e 0a)eavaila/le t& t*e e$eri0enters s2ervis&r. In t*e FantasyA--ressi&n %&n)iti&n s2/e%ts are -iven t*e T*e0ati% Aer%eti&n Test. T*is test is %&0are) t& several i%t2res )ei%tin- +&r t*e0&st art interers&nal s%enes. T*e s2/e%t is as>e) t& 0a>e 2 ast&ry +&r ea%* %ar) t*2s all&,in- +&r t*e e$ressi&n &+ a--ressive+antasies. T*e )een)ent varia/le is t*e %*an-e in syst&li% /l&&)ress2re +r&0 2st a+ter t*e +r2strati&n in)2%ti&n e$erien%e t& 2sta+ter t*e &&rt2nity +&r s2/e%ts t& e$ress a--ressi&n.

Use α !.!5 t& test t*e n2ll *y&t*esis. C&n)2%t all &ssi/le &st

*&% %&0aris&ns i+ t*e F test is si-ni4%ant.

O&rt2nity +&r A--ressi&nOvert Her/al Fantasy!5<:

:5

:;6:=

66!58

!:5

!;!

5!6!

6=6;!

:. Resear%*ers *ave n&te) t*at %*r&ni% severe 02s%le%&ntra%ti&n*ea)a%*es res&n) 72ite ,ell t& anti)eressant 0e)i%ati&n as ,ellas /i&+ee)/a%> +&r rela$in- t*e 02s%les &+ t*e +&re*ea). A *ealt*sy%*&l&-ist is intereste) in 0a>in- )ire%t %&0aris&n /et,een

t*ese t,& 0&)es &+ treat0ent. F&rty4ve *ea)a%*e s23erers areran)&0ly assi-ne) t& t*ree %&n)iti&ns( Me)i%ati&n Bi&+ee)/a%> an)N& Treat0ent %&ntr&l. Treat0ent lasts +&r 5 0&nt*s )2rin- ,*i%*ti0e t*e n20/er &+ ,ee>ly *ea)a%*es is re%&r)e). C&n)2%t an Ftest #α !.!5' an) &st *&% %&0aris&ns t& )eter0ine t*e relativee3e%ts &+ t*ese t*ree treat0ent %&n)iti&ns. T*e ra, s%&res are t*eavera-e n20/er &+ *ea)a%*es er ,ee> &ver t*e 50&nt* eri&) &+ treat0ent.


7/8

Me)i%ati&n Bi&+ee)/a%> C&ntr&l

66=9<=:6!

6!;5

;6:5;69;!:!

56:

59<!<6<<65

=6<

II. T,&Fa%t&r ANOHA

. An e)2%ati&nal sy%*&l&-ist is intereste) in t*e e3e%ts &+ )elaye)+ee)/a%> &n learnin- an) i+ )elaye) +ee)/a%> &erates )i3erentlyas a +2n%ti&n &+ e)2%ati&nal level. All s2/e%ts %&0rise) &+

+res*0en an) seni&rs are a)0inistere) a 572esti&n test a+terans,erin- t*e 72esti&ns t*e s2/e%ts are -iven t*e %&rre%t ans,ersat vari&2s intervals )een)in- &n ,*i%* e$eri0ental %&n)iti&nt*ey are assi-ne). All s2/e%ts are -iven t*e sa0e test +&2r )ayslater. T*e )een)ent varia/le is *&, 0any 72esti&ns t*ey ans,er%&rre%tly. Set al*a at !.!5.

S&2r%eFa%t&r B

N& Delay 6r Delay DayDelay

Fa%t&r A

Fres*0en

5

6:!

9

85<<

;

=999

Seni&rs :5:!

=5=8

<55=


8/8

! = 9

6. An e$eri0ental sy%*&l&-ist *y&t*esies t*at a i-*)rive state

,ill in%rease err&rs &n a 0ental arit*0eti% tas> in %&0aris&n t& aL&,)rive state. Drive state is e$eri0entally 0ani2late) /ytellin- *al+ t*e s2/e%ts t*at er+&r0an%e &n t*e tas> is relate) t&intelli-en%e #i-*)rive state'. S2/e%ts in t*e L&,)rive %&n)iti&nare t&l) t*at t*eir ans,ers t& t*e r&/le0s are t& /e 2se) asn&r0ative )ata +&r a +2t2re st2)y. T*e resear%*er als& *y&t*esiest*at )rive state ,ill intera%t ,it* t*e )i?%2lty &+ t*e tas>. M&rese%i4%ally s2/e%ts e$erien%in- *i-* )rive ,ill n&t er+&r0 as,ell t*e tas> is )i?%2lt rat*er t*an easy. S2/e%ts in t*e Di?%2lt%&n)iti&n re%eive 0&re %&0li%ate) r&/le0s t*an t*&se s2/e%ts int*e Easy %&n)iti&n. T*e resear%*er is re)i%tin- a 0ain e3e%t +&r

)rive an) an intera%ti&n /et,een tas> )i?%2lty an) level &+ )rivestate. T*e )een)ent varia/le is t*e n20/er &+ err&rs 0a)e &ver al&n- series &+ 0ental arit*0eti% r&/le0s. 1er+&r0 a t,&+a%t&rANOHA &n t*e +&ll&,in- )ata ,it* al*a set at !.!5. &2 ,ill 4n)t*at t*ere are 0ain e3e%ts +&r /&t* +a%t&rs in a))iti&n t& asi-ni4%ant intera%ti&n. Ans,er t*e +&ll&,in- 72esti&ns.a. W*at a%%&2nts +&r t*e intera%ti&n/. &, s*&2l) t*e 0ain e3e%ts /e interrete) in vie, &+ t*e

si-ni4%ant intera%ti&n

S&2r%e Tas> Di?%2lty( Fa%t&r B

Easy Di?%2lt

Drive State(Fa%t&r A

i-* )rive

<!856!

6=5666

5<6!99

6<:!:5:965

6!5:!:968

856968:!

L&, )rive

=6!666!

;6869:!=

56!6!658

56!!<8

965=:6

<=65=

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Statistics Exercise No. 1