TI-89, TI-92 Plus or Voyage 200 for Non-Business Statistics

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1 Chapter 3 TI-89, TI-9 Plu or Voyage 00 for No-Buie 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 x-y data pair, eter all x-value i oe lit. Eter all correpodig y-value 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 x-value, 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 x-value, 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 z-core, 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 z-core 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 chi-quared cofidece iterval for oe variace o the TI-89. 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 z-tet tatitic ad p-value. 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 : T-Tet. 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 t-tet tatitic ad p-value. 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: -PropZ-Tet. 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 z-tet tatitic ad the p-value. 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 chi-quared tet for oe variace o the TI-89. 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: -SampZ-Tet. 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 p-value. 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: -SampT-Tet. 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 t-tet tatitic ad the p-value. 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 : T-Tet. 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 t-tet tatitic, p-value, 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 : T-Iterval. 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 z-tet 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 F-tet tatitic ad the p-value. Chapter 0 Simple liear regreio. Go to the [App] Stat/Lit Editor, the type i the x-value ito lit ad the y-value 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 t-tet tatitic, the y-itercept a, lope b, = MSE, R, ad r. For a F-tet 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: Chi-GOF. 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 p-value. 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 Chi-quare -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 p-value. If you go back to the matrix meu you will ee all of the expected ad (o-e) /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 F-tet tatitic, the p-value, 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 Two-way ANOVA block deig. 6