TI-83, TI-83 Plus or TI-84 for Non-Business Statistics

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1 TI-83, TI-83 Plu or TI-84 for No-Buie Statitic Chapter 3 Eterig Data Pre [STAT] the firt optio i already highlighted (:Edit) o you ca either pre [ENTER] or. 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 [d] [QUIT] 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. A alterative way i pre [STAT], pre 4 for 4:ClrLit, pre [d], the pre the umber key correpodig to the data lit you wih to clear, for example d will clear L. Pre [ENTER]. Oe Variable Statitic Pre [STAT]. Ue curor key to highlight CALC. Pre or [ENTER] to elect :-Var Stat. Pre [d], the pre the umber key correpodig to your data lit. Pre Eter to calculate the tatitic. Note: the calculator alway default to L if you do ot pecify a data lit. 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 Pre [STAT]. Pre or [ENTER] to elect SortA(. Pre [d], the pre the umber key correpodig to your data lit that you wat to ort. Pre Eter, the calculator ay Doe. To ee the orted data go back ito the Edit mode. Chapter 4 Factorial O the home cree, eter the umber of which you would like to fid the factorial. Pre [MATH]. Ue curor key to move to the PRB meu. Pre 4 (4:!) Pre [ENTER] to calculate. Combiatio/Permutatio Eter the umber trial () o the home cree. Pre [MATH]. Ue curor key to move to the PRB meu. Pre for permutatio (: P r ), 3 for combiatio (3: C r ). Eter the umber of uccee (r). Pre [ENTER] to calculate. Chapter 5 Mea, Variace ad Stadard Deviatio of a Dicrete Probability Ditributio Table Pre [STAT] the firt optio i already highlighted (:Edit) o you ca either pre [ENTER] or. 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 ad P(X) data pair, eter all X-value i oe lit. Eter all correpodig P(X)-value i a ecod lit. Pre [STAT]. Ue curor key to highlight CALC. Pre or [ENTER] to elect :-Var Stat. Pre [d], the pre the umber key correpodig to your X lit, the a comma, the [d] ad the umber key correpodig to your P(X) value. (Should look like thi -Var Stat L,L ) Pre Eter to calculate the tatitic. Where the calculator ay x thi i µ the populatio mea ad σx i the populatio tadard deviatio (quare thi umber to get the populatio variace). Biomial Ditributio Pre [d] [DISTR]. Thi will get you a meu of probability ditributio. Pre 0 or arrow dow to 0:biompdf( ad pre [ENTER]. Thi put biompdf( o the home cree. Eter the value for, p ad x with a comma betwee each. 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. Pre [ALPHA] A or arrow dow to A:biomcdf( ad pre [ENTER]. Thi put biomcdf( o the home cree. Eter the value for, p ad x with a comma betwee each. Pre [ENTER]. Thi i the cumulative ditributio fuctio ad will retur you the probability of at mot x uccee. Poio Ditributio Pre [d] [DISTR]. Thi will get you a meu of probability ditributio.

2 Pre [ALPHA] B or arrow dow to B:poiopdf( ad pre [ENTER]. Thi put poiopdf( o the home cree. Eter the value for ad x with a comma betwee each. Pre [ENTER]. Thi i the probability deity fuctio ad will retur you the probability of exactly x uccee. Pre [ALPHA] C or arrow dow to C:poiocdf( ad pre [ENTER]. Thi put poiocdf( o the home cree. Eter the value for ad x with a comma betwee each. Pre [ENTER]. Thi i the cumulative ditributio fuctio ad will retur you the probability of at mot x uccee. Note: the calculator doe ot have the multiomial ad hypergeometric ditributio. Chapter 6 Normal Ditributio Pre [d] [DISTR]. Thi will get you a meu of probability ditributio. Pre or arrow dow to :ormalcdf( ad pre [ENTER]. Thi put ormalcdf( o the home cree. Eter the value for the lower x value (x ), upper x value (x ),, ad with a comma betwee each. 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 ormalcdf(80,0,00,0) If you leave out the ad, the the default i the tadard ormal ditributio. For a left tail area ue a lower boud of E99 (egative ifiity), (pre [d] [EE] to get E) ad for a right tail are ue a upper boud of E99 (ifiity). For example to fid P(Z < -.37) you hould have ormalcdf(-e99,-.37) Ivere Normal Ditributio Pre [d] [DISTR]. Thi will get you a meu of probability ditributio. Pre 3 or arrow dow to 3:ivNorm( ad pre [ENTER]. Thi put ivnorm( o the home cree. Eter the area to the left of the x value,, ad with a comma betwee each. 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 have ivnorm(.95,00,0). If you leave out the 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, i kow, i X z a /. O the TI-83 you ca fid a cofidece iterval uig the tatitic meu. Pre the [STAT] key, arrow over to the [TESTS] meu, arrow dow to the [7:ZIterval] optio ad pre the [ENTER] key. Arrow over to the [Stat] meu ad pre the [ENTER] key. The type i the populatio or ample tadard deviatio, ample mea, ample ize ad cofidece level, arrow dow to [Calculate] ad pre the [ENTER] key. The calculator retur the awer i iterval otatio. The 00( - )% cofidece iterval for, i ukow, i X t, /. O the TI-83 you ca fid a cofidece iterval uig the tatitic meu. Pre the [STAT] key, arrow over to the [TESTS] meu, arrow dow to the [8:TIterval] optio ad pre the [ENTER] key. Arrow over to the [Stat] meu ad pre the [ENTER] key. The type i the mea, ample tadard deviatio, ample ize ad cofidece level, arrow dow to [Calculate] ad pre the [ENTER] key. The calculator retur the awer i iterval otatio. Be careful, if you accidetally ue the [7:ZIterval] optio you would get the wrog awer. Or (If you have raw data i lit oe) Arrow over to the [Data] meu ad pre the [ENTER] key. The type i the lit ame, L, leave Freq: aloe, eter the cofidece level, arrow dow to [Calculate] ad pre the [ENTER] key. A 00 % cofidece iterval for the populatio proportio p i ˆ / p z pˆ pˆ key, arrow over to the [TESTS] meu, arrow dow to the [A:-PropZIterval] optio ad pre the [ENTER] key. The type i the value for X, ample ize ad cofidece level, arrow dow to [Calculate] 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 to ue i the calculator, multiply pˆ by the ample ize ad roud off to the earet iteger. The calculator will. Pre the [STAT]

3 give you a error meage if you put i a decimal for x or. For example if pˆ =. ad = 4 the.*4 = 7.8, o ue x = 7. Note: the calculator doe ot have a cofidece iterval for a tadard deviatio or variace Chapter 8 Hypothei tetig for oe ample X 0 Hypothei tet for oe ample populatio mea whe i kow, tet tatitic i Z. Pre the [STAT] key, arrow over to the [TESTS] meu, arrow dow to the [:Z-Tet] optio ad pre the [ENTER] key. Arrow over to the [Stat] meu ad pre the [ENTER] key. The type i the hypotheized mea ( 0 ), ample or populatio tadard deviatio, ample mea, ample ize, arrow over to the, <, > ig that i the ame a the problem alterative hypothei tatemet the pre the [ENTER] key, arrow dow to [Calculate] ad pre the [ENTER] key. The calculator retur the z-tet tatitic ad p-value. X Hypothei tet for oe ample populatio mea whe i ukow, tet tatitic i t 0. Pre the [STAT] key ad the the [EDIT] fuctio, eter the data ito lit oe. Pre the [STAT] key, arrow over to the [TESTS] meu, arrow dow to the [:T -Tet] optio ad pre the [ENTER] key. Arrow over to the [Stat] meu ad pre the [ENTER] key. The type i the hypotheized mea ( 0 ), ample or populatio tadard deviatio, ample mea, ample ize, arrow over to the, <, > ig that i the ame a the problem alterative hypothei tatemet the pre the [ENTER] key, arrow dow to [Calculate] ad pre the [ENTER] key. The calculator retur the t-tet tatitic ad p-value. Or (If you have raw data i lit oe) Arrow over to the [Data] meu ad pre the [ENTER] key. The type i the hypotheized mea ( 0 ), L, leave Freq: aloe, arrow over to the, <, > ig that i the ame i the problem alterative hypothei tatemet the pre the [ENTER]key, arrow dow to [Calculate] ad pre the [ENTER] key. The calculator retur the t-tet tatitic ad the p-value. pˆ p0 Hypothei tet for oe ample populatio proportio, tet tatitic i Z. Pre the [STAT] key, arrow p0q0 over to the [TESTS] meu, arrow dow to the optio [5:-PropZTet] ad pre the [ENTER] key. 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, arrow dow to [Calculate] ad pre the [ENTER] key. 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 to ue i the calculator, multiply pˆ 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 pˆ =. ad = 4 the.*4 = 7.8, o ue x = 7. Chapter 9 9. Cofidece Iterval ad Hypothei Tet for Two Populatio Mea Large Idepedet Sample, idepedet ample, σ ad σ Hypothei tet for the differece betwee the mea of two populatio X X kow, tet tatitic i z. Pre the [STAT] key, arrow over to the [TESTS] meu, arrow dow to the optio [3:-SampZTet] ad pre the [ENTER] key. Arrow over to the [Stat] meu ad pre the 3

4 [ENTER] key. The type i the ample or populatio tadard deviatio, the firt ample mea ad ample ize, the the ecod ample mea ad ample ize, arrow over to the, <, > ig that i the ame i the problem alterative hypothei tatemet the pre the [ENTER]key, arrow dow to [Calculate] ad pre the [ENTER] key. The calculator retur the tet tatitic z ad the p-value. The 00( - )% cofidece iterval for the differece betwee the mea of two populatio, idepedet ample, σ ad σ kow i X X z a /. Pre the [STAT] key, arrow over to the [TESTS] meu, arrow dow to the optio [9:-SampZIt] ad pre the [ENTER] key. Arrow over to the [Stat] meu ad pre the [ENTER] key. The type i the ample or populatio tadard deviatio, the firt ample mea ad ample ize, the the ecod ample mea ad ample ize, the eter the cofidece level. Arrow dow to [Calculate] ad pre the [ENTER] key. The calculator retur the cofidece iterval. 9. Cofidece Iterval ad Hypothei Tet for Two Populatio Mea Small Idepedet Sample Hypothei tet for the differece betwee the mea of two populatio, idepedet ample, σ ad σ X X ukow. The tet tatitic for uequal variace i t. Pre the [STAT] key, arrow over to S S the [TESTS] meu, arrow dow to the optio [4:-SampTTet] ad pre the [ENTER] key. Arrow over to the [Stat] meu ad pre the [Eter] key. Eter the mea, tadard deviatio, ample ize, cofidece level. The arrow over to the ot equal, <, > ig that i the ame i the problem alterative hypothei tatemet the pre the [ENTER] key. Highlight the No optio uder Pooled for uequal variace. Arrow dow to [Calculate] ad pre the [ENTER] key. The calculator retur the tet tatitic ad the p-value. O the TI-83 pre the [STAT] key ad the the [EDIT] fuctio, eter the data ito lit oe for male ad lit two for female. Pre the [STAT] key, arrow over to the [TESTS] meu, arrow dow to the optio [4:-SampTTet] ad pre the [ENTER] key. Arrow over to the [Data] meu ad pre the [ENTER] key. The default are Lit: L, Lit: L, Freq:, Freq:. If thee are et differet arrow dow ad ue [ d ] [] to get L ad [ d ] [] to get L. The arrow over to the ot equal, <, > ig that i the ame i the problem alterative hypothei tatemet the pre the [ENTER] key. Highlight the No optio uder Pooled for uequal variace. Arrow dow to [Calculate] ad pre the [ENTER] key. The calculator retur the tet tatitic t ad the p-value. (ote: the regular 8 th editio textbook ha a differet df rule, calculator retur df.) The 00( - )% cofidece iterval for the differece betwee the mea of two populatio, idepedet ample, σ ad σ ukow for uequal variace i X X ta /. Pre the [STAT] key, arrow over to the [TESTS] meu, arrow dow to the optio [0:-SampTIt] ad pre the [ENTER] key. Arrow over to the [Stat] meu ad pre the [Eter] key. Eter the mea, tadard deviatio, ample ize, cofidece level. Highlight the No optio uder Pooled for uequal variace. Arrow dow to [Calculate] ad pre the [ENTER] key. The calculator retur the cofidece iterval. Or (If you have raw data i lit oe ad lit two) pre the [STAT] key ad the the [EDIT] fuctio, type the data ito lit oe for ample oe ad lit two for ample two. Pre the [STAT] key, arrow over to the [TESTS] meu, arrow dow to the optio [0:-SampTIt] ad pre the [ENTER] key. Arrow over to the [Data] meu ad pre the [ENTER] key. The default are Lit: L, Lit: L, Freq:, Freq:. If thee are et differet, arrow dow ad ue [ d ] [] to get L ad [ d ] [] to get L. The type i the cofidece level. Highlight the No optio uder Pooled for uequal variace. Arrow dow to [Calculate] ad pre the [ENTER] 4

5 key. The calculator retur the cofidece iterval. (ote: the regular 8 th editio textbook ha a differet df rule, calculator retur df.) 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, depedet ample (matched pair), tet D t D tatitic i. Firt fid the differece betwee the ample. Pre the [STAT] key ad the the [EDIT] D fuctio, eter the differece colum ito lit oe. Pre the [STAT] key, arrow over to the [TESTS] meu, arrow dow to the optio [:T -Tet] ad pre the [ENTER] key. Arrow over to the [Data] meu ad pre the [ENTER] key. The type i the hypotheized mea a 0, Lit: L, leave Freq: aloe, arrow over to the, <, > ig that i the ame i the problem alterative hypothei tatemet the pre the [ENTER]key, arrow dow to [Calculate] ad pre the [ENTER] key. The calculator retur the t-tet tatitic, the 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 i D t, /. Firt fid the differece betwee the ample. The o the TI-83 pre the [STAT] key, arrow over to the [TESTS] meu, arrow dow to the [8:TIterval] optio ad pre the [ENTER] key. Arrow over to the [Data] meu ad pre the [ENTER] key. The default are Lit: L, Freq:. If thi i et with a differet lit, arrow dow ad ue [ d ] [] to get L. The type i the cofidece level. Arrow dow to [Calculate] ad pre the [ENTER] key. The calculator retur the cofidece iterval, X D ad S x S D. 9.4 Cofidece Iterval ad Hypothei Tet for Two Populatio Proportio Hypothei tet for the differece betwee the proportio of two populatio p p, tet tatitic i pˆ pˆ p p Z. Pre the [STAT] key, arrow over to the [TESTS] meu, arrow dow to the optio p( p) [6:-PropZTet] ad pre the [ENTER] key. Type i the X,, X,, arrow over to the, <, > ig that i the ame i the problem alterative hypothei tatemet the pre the [ENTER] key, arrow dow to [Calculate] ad pre the [ENTER] key. The calculator retur the z-tet tatitic ad the p-value. The 00( - )% cofidece iterval for the differece betwee the proportio of two populatio p p i pˆ pˆ pˆ pˆ pˆ pˆ Z. Pre the [STAT] key, arrow over to the [TESTS] meu, arrow dow to the optio [7:-PropZIterval] ad pre the [ENTER] key. Type i the X,, X,, the cofidece level, the pre the [ENTER] key, arrow dow to [Calculate] ad pre the [ENTER] key. 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. O the TI-83 pre the [STAT] key, arrow over to the [TESTS] meu, arrow dow to the optio [D:-SampFTet] ad pre the [ENTER] key. Arrow over to the [Stat] meu ad pre the [Eter] key. The type i the,,,, arrow over to the, 5

6 <, > ig that i the ame i the problem alterative hypothei tatemet the pre the [ENTER] key, arrow dow to [Calculate] ad pre the [ENTER] key. The calculator retur the tet tatitic F ad the p-value. Chapter 0 Simple liear regreio. O the TI-83 pre the [STAT] key ad the the [EDIT] fuctio, type the x value ito lit oe ad the Y value ito lit two. Pre the [STAT] key, arrow over to the [STAT] meu, arrow dow to the optio [E:LiRegTTet] ad pre the [ENTER] key. The default i Xlit: L, Ylit: L, Freq:, ad : 0. Arrow dow to Calculate ad pre the [ENTER] key. The calculator retur the t-tet tatitic, the y-itercept a, lope b, the tadard error of etimate, the coefficiet of determiatio R, ad the correlatio coefficiet r. The TI-83 doe a t-tet ot a F-tet. If you quare thi t-value it i the ame a the F-value ad = MSE, o you ca ue it to check your awer. Chapter Goode of Fit Tet Note: you caot do the goode of fit tet o the TI-83. Tet for Idepedece Hypothei tet for the idepedece of two variable (cotigecy table). Pre the [ d ] the [MATRX] key. Arrow over to the EDIT meu ad :[A] hould be highlighted, pre the [ENTER] key. For a m X cotigecy table, type i the umber of row(m) ad the umber of colum() at the top of the cree o that it look like thi MATRIX[A] m X. For example a X 3 cotigecy table, the top of the cree would look like thi MATRIX[A] X 3, a you hit [ENTER] the table will automatically wide to the ize you put i. Now eter all of the oberved value i there proper poitio. The pre the [STAT] key, arrow over to the [TESTS] meu, arrow dow to the optio [C: -Tet] ad pre the [ENTER] key. Leave the default a Oberved:[A] ad Expected:[B], arrow dow to [Calculate] ad pre the [ENTER] key. The calculator retur the -tet tatitic ad the p-value. If you go back to the matrix meu [ d ] the [MATRX] key, arrow over to EDIT ad chooe :[B], you will ee all of the expected value. Chapter Aalyi of Variace ANOVA, hypothei tet for the equality of k populatio mea. Note you have to have the actual raw data to do thi tet o the calculator. Pre the [STAT] key ad the the [EDIT] fuctio, type the three lit of data ito lit oe, two ad three. Pre the [STAT] key, arrow over to the [TESTS] meu, arrow dow to the optio [F:ANOVA(] ad pre the [ENTER] key. Thi brig you back to the regular cree where you hould ow ee ANOVA(. Now hit the [ d ] [ L ] [,] [ d ] [ L ] [,][ d ] [ L 3 ][)] key i that order. You hould ow ee ANOVA( L, L, L 3 ), if you had 4 lit you would the have a additioal lit. Pre the [ENTER] key. 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. 6

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