TI89, TI92 Plus or Voyage 200 for NonBusiness Statistics


 Sheryl Hodges
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1 Chapter 3 TI89, TI9 Plu or Voyage 00 for NoBuie Statitic Eterig Data Pre [APPS], elect FlahApp the pre [ENTER]. Highlight Stat/Lit Editor the pre [ENTER]. Pre [ENTER] agai to elect the mai folder. (Note: If you do ot have FlahApp or Stat/Lit Editor the you ca dowload it from Rachel Webb i NH354B durig office hour. Make ure the curor i i the lit, ot o the lit ame ad type the deired value preig [ENTER] after each oe. For xy data pair, eter all xvalue i oe lit. Eter all correpodig yvalue i a ecod lit. Pre [Home] to retur to the home cree. To clear a previouly tored lit of data value, arrow up to the lit ame you wat to clear, pre [CLEAR], the pre eter. Oe Variable Statitic Eter the data i lit. Select F4 for the Calc meu. Ue curor key to highlight :Var Stat. Type i the ame of your lit without pace, for example lit. Pre eter twice ad the tatitic will appear i a ew widow. Ue the curor key to arrow up ad dow to ee all of the value. Note: Sx i the ample tadard deviatio. The quartile calculated by the TI calculator differ omewhat from thoe foud uig the procedure i the text for thi cla. Make ure that you do the quartile by had. Sortig Data After the data i etered i a lit, make ure your curor i o the lit you wat to ort. Select F3 Lit, the elect :Op, the elect :Sort Lit. Make ure the lit umber i correct ad that Acedig i elected the hi Eter. Chapter 4 Factorial O the home cree, eter the umber of which you would like to fid the factorial. Pre [ d ] [Math] > 7:Probability > :!. Pre [ENTER] to calculate. Combiatio/Permutatio Pre [ d ] Math > 7:Probability > Pre for permutatio (: P r ), 3 for combiatio (3: C r ). Eter the ample ize o the home cree, the a comma, the eter the umber of uccee the ed the parethei. Pre [ENTER] to calculate. Chapter 5 Mea, Variace ad Stadard Deviatio of a Dicrete Probability Ditributio Table Go to the [App] Stat/Lit Editor, ad type the X value ito Lit ad P(X) value ito Lit. Select F4 for the Calc meu. Ue curor key to highlight :Var Stat. Type i the ame of your X lit without pace, for example lit where it ay Lit. Type i the ame of your P(X) lit without pace, for example lit where
2 it ay Freq. Pre eter twice ad the tatitic will appear i a ew widow. Ue the curor key to arrow up ad dow to ee all of the value. Note: x thi i µ the populatio mea ad σx i the populatio tadard deviatio; quare thi value to get the variace. Biomial Ditributio Go to the [App] Stat/Lit Editor, the elect F5 [DISTR]. Thi will get you a meu of probability ditributio. Arrow dow to biomial Pdf ad pre [ENTER]. Eter the value for, p ad x ito each cell. Pre [ENTER]. Thi i the probability deity fuctio ad will retur you the probability of exactly x uccee. If you leave off the x value ad jut eter ad p, you will get all the probabilitie for each x from 0 to. Arrow dow to biomial Cdf ad pre [ENTER]. Eter the value for, p ad lower ad upper value of x ito each cell. Pre [ENTER]. Thi i the cumulative ditributio fuctio ad will retur you the probability betwee the lower ad upper xvalue, icluive. Poio Ditributio Go to the [App] Stat/Lit Editor, the elect F5 [DISTR]. Thi will get you a meu of probability ditributio. Arrow dow to Poio Pdf ad pre [ENTER]. Eter the value for ad x ito each cell. Pre [ENTER]. Thi i the probability deity fuctio ad will retur you the probability of exactly x uccee. Arrow dow to Poio Cdf ad pre [ENTER]. Eter the value for ad the lower ad upper value of x ito each cell. Pre [ENTER]. Thi i the cumulative ditributio fuctio ad will retur you the probability betwee the lower ad upper xvalue, icluive. Note: the calculator doe ot have the hypergeometric or multiomial ditributio. Chapter 6 Normal Ditributio Go to the [App] Stat/Lit Editor, the elect F5 [DISTR]. Thi will get you a meu of probability ditributio. Arrow dow to Normal Cdf ad pre [ENTER]. Eter the value for the lower x value (x ), upper x value (x ),, ad ito each cell. Pre [ENTER]. Thi i the cumulative ditributio fuctio ad will retur P(x <x<x ). For example to fid P(80< X < 0) whe the mea i 00 ad the tadard deviatio i 0, you hould have i the followig order 80, 0, 00, 0. If you have a zcore, ue = 0 ad =, the you will get tadard ormal ditributio. For a left tail area ue a lower boud of egative ifiity (), ad for a right tail are ue a upper boud ifiity (). Ivere Normal Ditributio Go to the [App] Stat/Lit Editor, the elect F5 [DISTR]. Thi will get you a meu of probability ditributio. Arrow dow to Ivere Normal ad pre [ENTER]. Eter the area to the left of the x value,, ad ito each cell. Pre [ENTER]. Thi will retur the percetile for the x value. For example to fid the 95 th percetile whe the mea i 00 ad the tadard deviatio i 0, you hould eter.95, 00, 0. If you ue = 0 ad =, the the default i the zcore for the tadard ormal ditributio. Chapter 7 Cofidece Iterval for oe ample The 00(  )% cofidece iterval for, whe i kow, i X z a /. Go to the [App] Stat/Lit Editor, the elect d the F7 [It], the elect : ZIterval. Chooe the iput method, data i whe you have etered data ito a lit previouly or tat whe you are give the mea ad tadard deviatio already. Type i the populatio tadard deviatio, ample mea, ample ize (or lit ame (lit), ad Freq: ) ad cofidece level, ad pre the [ENTER] key to calculate. The calculator retur the awer i iterval otatio. The 00(  )% cofidece iterval for, whe i ukow, i X t, /. Go to the [App] Stat/Lit Editor, the elect d the F7 [It], the elect :TIterval. Chooe the iput method, data i whe you have etered data ito a lit previouly or tat whe you are give the mea ad tadard deviatio already. Type i the mea, tadard deviatio, ample ize (or lit ame (lit), ad Freq: ) ad cofidece level, ad pre the [ENTER] key. The calculator retur the awer i iterval otatio. Be careful, if you accidetally ue the [:ZIterval] optio you would get the wrog awer.
3 A 00 % cofidece iterval for the populatio proportio p i pˆ pˆ pˆ z /. Go to the [App] Stat/Lit Editor, the elect d the F7 [It], the elect 5: PropZIt. Type i the value for X, ample ize ad cofidece level, ad pre the [ENTER] key. The calculator retur the awer i iterval otatio. Note: ometime you are ot give the x value but a percetage itead. To fid the x value to ue i the calculator, multiply p by the ample ize ad roud off to the earet iteger. The calculator will give you a error meage if you put i a decimal for x or. For example if p =. ad = 4 the.*4 = 7.8, o ue x = 7. Note: you caot do the chiquared cofidece iterval for oe variace o the TI89. Chapter 8 Hypothei tetig for oe ample X 0 Hypothei tet for a populatio mea whe i kow, tet tatitic i Z. Go to the [App] Stat/Lit Editor, the elect d the F6 [Tet], the elect : ZTet. Chooe the iput method, data i whe you have etered data ito a lit previouly or tat whe you are give the mea ad tadard deviatio already. Type i the hypotheized mea ( 0 ), populatio tadard deviatio, ample mea, ample ize, (or lit ame (lit), ad Freq: ), arrow over to the, <, > ig ad elect the ame a the problem alterative hypothei tatemet the pre the [ENTER] key to calculate. The calculator retur the ztet tatitic ad pvalue. X Hypothei tet for a populatio mea whe i ukow, tet tatitic i t 0. Go to the [App] Stat/Lit Editor, the elect d the F6 [Tet], the elect : TTet. Chooe the iput method, data i whe you have etered data ito a lit previouly or tat whe you are give the mea ad tadard deviatio already. The type i the hypotheized mea ( 0 ), ample tadard deviatio, ample mea, ample ize, (or lit ame (lit), ad Freq: ), arrow over to the, <, > ad elect the ig that i the ame a the problem alterative hypothei tatemet the pre the [ENTER] key to calculate. The calculator retur the ttet tatitic ad pvalue. pˆ p0 Hypothei tet for oe ample populatio proportio, tet tatitic i Z. Go to the [App] p0 p0 Stat/Lit Editor, the elect d the F6 [Tet], the elect 5: PropZTet. Type i the hypotheized proportio ( p 0 ), x, ample ize, arrow over to the, <, > ig that i the ame i the problem alterative hypothei tatemet the pre the [ENTER] key to calculate. The calculator retur the ztet tatitic ad the pvalue. Note: ometime you are ot give the x value but a percetage itead. To fid the x value to ue i the calculator, multiply p by the ample ize ad roud off to the earet iteger. The calculator will give you a error meage if you put i a decimal for x or. For example if p =. ad = 4 the.*4 = 7.8, o ue x = 7. Note: you caot do the chiquared tet for oe variace o the TI89. Chapter 9 9. Cofidece Iterval ad Hypothei Tet for Two Populatio Mea Large Idepedet Sample 3
4 Hypothei tet for the differece betwee the mea of two populatio, X X z idepedet ample, ad σ i kow, tet tatitic i to the [App] Stat/Lit Editor, the elect d the F6 [Tet], the elect 3: SampZTet. The type i the populatio tadard deviatio, the firt ample mea ad ample ize, the the ecod ample mea ad ample ize, (or lit ame (lit3 & lit4), ad Freq: & Freq:), arrow over to the, <, > ig that i the ame i the problem alterative hypothei tatemet the pre the [ENTER] key to calculate. The calculator retur the z tet tatitic ad the pvalue. The 00(  )% cofidece iterval for the differece betwee the mea of two populatio, idepedet ample, i X X z a / to the [App] Stat/Lit Editor, the elect d the F5 [It], the elect 3:  SampZIt. The type i the populatio tadard deviatio, the firt ample mea ad ample ize, the the ecod ample mea ad ample ize, (or lit ame (lit3 & lit4), ad Freq: & Freq:), the eter the cofidece level. To calculate pre the [ENTER] key. The calculator retur the cofidece iterval. 9. Cofidece Iterval ad Hypothei Tet for Two Populatio Mea Small Idepedet Sample The 00(  )% cofidece iterval for the differece betwee the mea of two populatio, idepedet ample, ad σ are ukow i X X ta /. Go to the [App] Stat/Lit Editor, the elect d the F5 [It], the elect 4: SampTIt. Eter the ample mea, ample tadard deviatio, ample ize, (or lit ame (lit3 & lit4), ad Freq: & Freq:), cofidece level. Highlight the No optio uder Pooled. Pre the [ENTER] key to calculate. The calculator retur the cofidece iterval. Hypothei tet for the differece betwee the mea of two populatio, idepedet ample, ad σ are ukow. The tet tatitic i X X t. Go to the [App] Stat/Lit Editor, the elect d the F6 S S [Tet], the elect 4: SampTTet. Eter the ample mea, ample tadard deviatio, ad ample ize, (or lit ame (lit3 & lit4), ad Freq: & Freq:). The arrow over to the ot equal, <, > ad elect the ig that i the ame i the problem alterative hypothei tatemet. Highlight the No optio uder Pooled. Pre the [ENTER] key to calculate. The calculator retur the ttet tatitic ad the pvalue. 9.3 Cofidece Iterval ad Hypothei Tet for Small Depedet Sample (Matched Pair) Hypothei tet for the differece betwee the mea of two populatio d for depedet ample (matched pair) tet tatitic i D t D D. Firt fid the differece betwee the ample. Go to the [App] Stat/Lit Editor, the eter the differece ito lit. Select d the F6 [Tet], the elect : TTet. Select the [Data] meu. The type i the hypotheized mea a 0, Lit: lit, Freq:, arrow over to the, <, > ad elect the ig that i the ame i the. Go. Go 4
5 problem alterative hypothei, pre the [ENTER] key to calculate. The calculator retur the ttet tatitic, pvalue, X D ad S x S D. The 00(  )% cofidece iterval for the differece betwee the mea of two populatio d, depedet ample D (matched pair), i D t, /. Firt fid the differece betwee the ample. Go to the [App] Stat/Lit Editor, the eter the differece ito lit. Select d the F7 [It], the elect : TIterval. Select the [Data] meu. Eter i Lit: lit, Freq:. The type i the cofidece level. Pre the [ENTER] key to calculate. The calculator retur the cofidece iterval. 9.4 Cofidece Iterval ad Hypothei Tet for Two Populatio Proportio Hypothei tet for the differece betwee the proportio of two populatio p tet tatitic i Z pˆ pˆ p p p( p) p,. Go to the [App] Stat/Lit Editor, the elect d the F6 [Tet], the elect 6: PropZTet. Type i the x,, x,, arrow over to the, <, > ad elect the ig that i the ame i the problem alterative hypothei tatemet. Pre the [ENTER] key to calculate. The calculator retur the ztet tatitic, ample proportio, pooled proportio, ad the p value. p i The 00(  )% cofidece iterval for the differece betwee the proportio of two populatio ˆ ˆ pˆ pˆ pˆ pˆ p p p Z. Go to the [App] Stat/Lit Editor, the elect d the F7 [It], the elect 6: PropZIt. Type i the x,, x,, the cofidece level, the pre the [ENTER] key to calculate. The calculator retur the cofidece iterval. 9.5 Hypothei Tet For Two Populatio Variace Hypothei tet for two populatio variace or tadard deviatio, tet tatitic i F. Go to the [App] Stat/Lit Editor, the elect d the F6 [Tet], the elect 9: SampFTet. The type i the,,,, (or lit ame lit & lit), elect the ig,, <, > that i the ame i the problem alterative hypothei tatemet, pre the [ENTER] key to calculate. The calculator retur the Ftet tatitic ad the pvalue. Chapter 0 Simple liear regreio. Go to the [App] Stat/Lit Editor, the type i the xvalue ito lit ad the yvalue ito lit. Select d the F6 [Tet], the elect A:LiRegTTet. Eter the followig, Xlit: lit ; Y Lit: lit ; Freq:, elect the alterative hypothei a & 0, tore reult to: oe. Pre the [ENTER] key to calculate. The calculator retur the ttet tatitic, the yitercept a, lope b, = MSE, R, ad r. For a Ftet ue the Multiple Regreio tet with oly oe x lit, (idepedet variable = ). 5
6 Chapter Goode of Fit Tet Hypothei tet for three or more proportio (goode of fit tet). Go to the [App] Stat/Lit Editor, the type i the oberved value ito lit, ad the expected value ito lit. Select d the F6 [Tet], the elect 7: ChiGOF. Type i the lit ame ad the degree of freedom (df = k). The pre the [ENTER] key to calculate. The calculator retur the tet tatitic ad the pvalue. Tet for Idepedece Hypothei tet for the idepedece of two variable (cotigecy table). Firt you eed to create the matrix for the oberved value: Pre: [Home] to retur to the Home cree, pre [App] ad elect 6:Data/Matrix Editor. A meu i diplayed, elect 3:New. The New dialog box i diplayed. Pre the right arrow key to highlight :Matrix, ad pre [ENTER] to chooe Matrix type. Pre the dow arrow key to highlight :mai, ad pre [ENTER], to chooe mai folder. Pre the dow arrow key, ad the eter the ame o i the Variable field. Eter 3 for Row dimeio ad for Colum dimeio. Pre [ENTER] to diplay the matrix editor. Eter 4, 9, 5 i c ad 7,, 3 i c. Pre [App] [ENTER] to cloe the matrix editor ad retur to the lit editor. If you have more tha oe Applicatio loaded, pre [App], ad the elect Stat/Lit Editor. To diplay the Chiquare Way dialog box, pre d the F6 [Tet], the elect 8: Chi way. Eter i i the Oberved Mat: o ; Store Expected to: tatvar\e ; Store CompMat to: tatvar\c. Thi will tore the expected value i the matrix folder tatvar with the ame e, ad the (oe) /e value i the matrix c. Pre the [ENTER] key to calculate. The calculator retur the tet tatitic ad the pvalue. If you go back to the matrix meu you will ee all of the expected ad (oe) /e value. Chapter Aalyi of Variace ANOVA, hypothei tet for the equality of k populatio mea. ). Go to the [App] Stat/Lit Editor, the type i the data for each group ito a eparate lit, (or if you do t have the raw data, eter the ample ize, ample mea ad ample variace for group ito lit i that order, repeat for lit, etc). Select d the F6 [Tet], the elect C:ANOVA. Select the iput method data or tat. Select the umber of group. Pre the [ENTER] key to calculate. The calculator retur the Ftet tatitic, the pvalue, Factor (Betwee) df, SS ad MS, Error (Withi) df, SS ad MS. The lat value Sxp i the quare root of the MSE. The calculator will alo do a Twoway ANOVA block deig. 6
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