TI-83/84 Calculator Itructio for Math 34- Elemetary Statitic. Eterig Data: Data oit are tored i Lit o the TI-83/84. If you have't ued the calculator before, you may wat to erae everythig that wa there. You do thi by reig d [MEM] (above the + ig), elect [4:ClrAllLit] ad the reig ENTER twice. The re STAT ad highlight [5:SetUEditor] ad re ENTER twice. You will ot have to do thi every time you wat to eter a lit, but it' a good idea to do it every oce i a while. Pre STAT ad elect [EDIT... ]. Thi ut you ito the Lit Editor. You will ee colum with L, L,... goig acro the to. You ca tore i differet et of data here. Now eter the data, reig ENTER after each data oit. After the lat data oit re ENTER, the QUIT. The data i ow tored i L. You ca tore data i ay of the other lit by crollig acro i the Lit Editor.. Sortig Data: Oce data ha bee etered ito a lit, you ca rearrage the lit ito acedig or decedig order. To ort L i acedig order, re STAT ad elect [:SortA(], [d] [L] (above the umber ). Now if you go back ito the Lit Editor, the lit ha bee orted. To ort i decedig order, ue the [3:SortD(] fuctio. 3. How to fid the mea, tadard deviatio, ad five-umber ummary of a data et: Firt eter your data et ito oe of the lit: STAT EDIT: Edit Thi key equece take you to the lit. If you wat to delete the umber i oe of your lit, for eamle i L, go u with your arrow ad highlight L. The re CLEAR ad ENTER. So, eter your data et ito oe of your lit. To fid the tatitic: STATCALC: -Var Stat I your widow, you hould ee -Var Stat Now your calculator wait for you to tell it where your lit i. So, if your data et i i L, eter L ( d key ). Puh ENTER. You hould ee the followig tatitic: the mea the um of the data the um of the quared data S the tadard deviatio of the amle Quick Referece Abba Maum Page of 6
TI-83/84 Calculator Itructio for Math 34- Elemetary Statitic mix Q Med Q3 max the tadard deviatio of the oulatio the amle ize the miimum of the data et the firt quartile the media third quartile the maimum of the data et 4. How to fid the correlatio coefficiet (r), the loe of the leat quare regreio lie (b), ad the y-itercet (a): Firt you eed to eter the value of the elaatory variable ito oe lit, ay L, ad the value of the reoe variable ito aother lit, ay L. STAT EDIT: Edit Thi key equece take you to the lit. If you wat to delete the umber i oe of your lit, for eamle i L, go u with your arrow ad highlight L. The re CLEAR ad ENTER. So eter your data lit ito two lit. STATCALC8:LiReg(a+b) I your widow you hould ee LiReg(a+b). Your calculator wait for you to tell where your lit are. So, you eed to eter L ( d key ), the a comma (above 7), ad L ( d key ). You hould ee: LiReg(a+b) L, L Puh ENTER. You hould ow ee: o LiReg o y=a+b o a the y-itercet o b the loe o r coefficiet of determiatio o r correlatio coefficiet (If your TI-83 doe ot give you the correlatio coefficiet, r, re ND 0 (CATALOG) ad elect DiagoticO. Pre Eter twice; you hould ee Doe i the widow. The reeat the calculatio.) Quick Referece Abba Maum Page of 6
TI-83/84 Calculator Itructio for Math 34- Elemetary Statitic 5. How to fid robabilitie for a Normal ditributio, ad how to fid a z-core from a give robability: a. To fid robabilitie after you have figured out z: Ue DISTR ( d VARS) : ormalcdf( The iut are ormalcdf(lower boud, uer boud) So i your widow you hould ee ormalcdf( If you eed a lower tail robability, ue ormalcdf(-9999999,z) (-9999999 rereet ) If you eed a uer tail robability, ue ormalcdf(z,9999999) (9999999 rereet +) If you eed the robability of fallig betwee two z value, ue ormalcdf(z,z) b. To fid the z from the give robability: ue DISTR ( d VARS) 3: ivnorm( So i your widow you hould ee ivnorm( After the arethei eter the LOWER tail robability i decimal form. E.: if your lower tail robability i give, ad it 0%, or 0., ue ivnorm(0.).that will give you the correodig z value. E.: if your uer tail robability i give, ad it 0.07, ue ivnorm(0.93) (ice 0.07 = 0.93) 6. Cofidece Iterval ad Hyothei Tet: Cofidece iterval ad hyothei tet are foud i the STATTEST meu. Throughout thi ectio the calculator will ak you to chooe [Data] or [Stat]. Ue [Stat] whe you jut have the ummary tatitic, uch a the mea ad tadard deviatio. Ue [Data] whe you have oly the idividual data value. I thi cae, firt you will eed to eter the data ito a lit ad tell the calculator which lit the data i i. CONFIDENCE INTERVALS Z-iterval for a oulatio mea ( i kow) STAT TESTS 7:ZIterval t-iterval for a oulatio mea ( i ukow ad variable i ormally ditributed i the oulatio if < 30) Quick Referece Abba Maum Page 3 of 6
TI-83/84 Calculator Itructio for Math 34- Elemetary Statitic STAT TESTS 8:TIterval Z-iterval for a oulatio roortio (Note: The value of mut be a iteger.) STAT TESTS A:-ProZIterval t-iterval for a differece i two oulatio mea STAT TESTS 0: -SamTIt Z-iterval for a differece i two oulatio roortio (The value mut be iteger.) STAT TESTS B: -ProZIt HYPOTHESIS TESTS Z-tet for a oulatio mea ( i kow ) STAT TESTS :Z-Tet t-tet for a oulatio mea ( i ukow ad variable i ormally ditributed i the oulatio if < 30) STAT TESTS :T-Tet Z-tet for a oulatio roortio STAT TESTS 5:-ProZTet t-tet for a differece i two oulatio mea STATTESTS4: -SamTTet Z-tet for a differece i two oulatio roortio STATTESTS6: --ProZTet Quick Referece Abba Maum Page 4 of 6
TI-83/84 Calculator Itructio for Math 34- Elemetary Statitic Selected Formula Samle roortio: Samle mea: Samle tadard deviatio: ( ) Rage = ma. mi. IQR = Q3 - Q Z-core: z z Leat quare regreio lie: Y a bx, where b r y ad a Y bx Samlig ditributio of the amle mea: Samlig ditributio of the amle roortio: ( ) Quick Referece Abba Maum Page 5 of 6
TI-83/84 Calculator Itructio for Math 34- Elemetary Statitic Formula for Iferece: Geeral form of a CI for a arameter: tatitic ± margi of error where the margi of error i the tadard error time either z * or t *. Geeral form of a tet tatitic: amle tatitic hyotheized value tadard error Parameter Statitic* Stadard Error (SE) Cofidece iterval Tet tatitic ** ( ) 4 * z ( SE) z ( ) 0 0 0 ( ) ( ) * z ( SE) z ( ) 0 ~ ( ~ ) t * ( SE) t 0 t * ( SE) t ( ) 0 * where, but i cofidece iterval for a oulatio roortio we ue 4 ** For tetig differece betwee roortio, the ooled roortio i ˆ Miimum amle ize required for a deired margi of error for roortio: z * m ( ), where m i the deired margi of error ad. Quick Referece Abba Maum Page 6 of 6