( ) ( ) ( ) ( ) ˆ ˆ ˆ 1. ± n. x ± Where. s ± n Z E. n = x x. = n. STAT 362 Statistics For Management II Formulas. Sample Mean. Sampling Proportions
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1 STAT 36 Sac For Maageme II Formula - - Samle Mea Samle Varace Samle Saar Devao Samlg Prooro Saar Devao of (Saar rror) For a Fe Poulao For a Ife Poulao N N Ierval mae of a Poulao Mea: Kow ± Where ± Ierval mae of a Poulao Mea: Uow ± Where ± Ierval mae of a Poulao Prooro ± Ierval mae of he Dfferece Bewee Two Poulao Prooro ± Samle Sze for a Ierval mae of Poulao Prooro a Normal Druo * * q α
2 STAT 36 Sac For Maageme II Formula - - -Value Formula for Normal a Aromaely Normal Druo Calculao of Te Sac µ Kow S 0 µ Uow Te Sac for Hyohe Te Aou Two Ieee Prooro Saar rror of Degree of Freeom for he Druo Ug Two Ieee Raom Samle.. f Te Sac for Hyohe Te Aou Two Ieee Mea; Poulao Saar Devao Uow 0 D Te Sac for Hyohe Te Ivolvg Mache Samle µ
3 STAT 36 Sac For Maageme II Formula Mea Dfferece Ivolvg Mache (or Deee) Samle ( ) Saar Devao Noao Ue for Mache Samle ( ) Ierval mae of Mea of Mache Samle S ± α / Te Sac for Hyohe Te Aou a Poulao Varace χ χ. f. 0 Te Sac for Hyohe Te Aou Two Poulao Varace whe F f umeraor a f eomao r Ierval mae of he Dfferece Bewee Two Poulao Mea: a Kow a Uow ± α / ( ow) S ± α / ( uow) Poole Samle Saar Devao (Aumo ha a are equal a oulao are aromaely ormal) & Te Sac for Comaro of Ieee Samle ( ) S ( ) S S. f. S ( ) S D 0-3 -
4 STAT 36 Sac For Maageme II Formula Ch-Square Gooe of F Te Sac χ ( f f ) o e ;. f. ( c f e ) Ch-Square Te for Ieeece Te Sac χ fo fe ;. f. ( c )( r f e ) Teg for he qualy of Poulao Mea ANOVA Samle Mea for Treame Samle Varace for Treame Overall Samle Mea (Gra Mea) Mea Square Due o Treame Sum of Square Due o Treame Mea Square Due o rror SSTR T MSTR ( ) SSTR SS MS T
5 STAT 36 Sac For Maageme II Formula Sum of Square Due o rror SS Te Sac for he qualy of Poulao Mea Toal Sum of Square Parog of Sum of Square SST F MSTR MS SST SSTR SS Mulle Comaro Proceure Te Sac for Fher LSD Proceure Fher LSD MS ( ) Comleely Raomze Deg Mea Square Due o Treame Mea Square Due o rror LSD α / MS MSTR MS ( ) T - 5 -
6 STAT 36 Sac For Maageme II Formula F Te Sac Raomze Bloc Deg Toal Sum of Square Sum of Square Due o Treame Sum of Square Due o Bloc SST F SSTR MSTR MS Sum of Square Due o rror SSBL SS SST SSTR SSBL Facoral erme Toal Sum of Square Sum of Square for Facor A Sum of Square for Facor B SST SSA r a r a SSB ar - 6 -
7 STAT 36 Sac For Maageme II Formula Sum of Square for Ieraco Sum of Square for rror SSAB r a ( ) SS SST SSA SSB SSAB Smle Lear Regreo Formula Smle Lear Regreo Moel y 0 Smle Lear Regreo quao 0 β mae Smle Lear Regreo quao y 0 Lea Square Crero β β ε ( y) β m Sloe a y-ierce for he mae Regreo quao Toal Sum of Square Sum of Square Due o rror ( y y ) ( )( y y) ( ) 0 y ( y y) SST SS ( y y ) Sum of Square Due o Regreo ( y y) SSR - 7 -
8 STAT 36 Sac For Maageme II Formula Toal Sum of Square for Regreo SST SSR SS Coeffce of Deermao Samle Correlao Coeffce r SSR SST r y ( g of ) ( g of ) r Coeffce of Deermao Mea Square rror (mae of ) Saar rror of he mae Saar Devao of mae Saar Devao of Te Sac Mea Square Regreo MSR MS MS SS SS ( ) ( ) SSR # eee varale - 8 -
9 STAT 36 Sac For Maageme II Formula F Te Sac mae Saar Devao of Cofece Ierval for ( y ) ŷ y F MSR MS ( ) ( ) y ± α / y mae Saar Devao of a Ivual Value Preco Ierval for y Reual for Oervao Saar Devao of he h Reual Saarze Reual for Oervao Leverage of Oervao ( ) ( ) y ± α / y y y y h y y y y h ( ) ( ) - 9 -
σ σ r = x i x N Statistics Formulas Sample Mean Population Mean Interquartile Range Population Variance Population Standard Deviation
Stattc Formula Samle Mea Poulato Mea µ Iterquartle Rae IQR Q 3 Q Samle Varace ( ) Samle Stadard Devato ( ) Poulato Varace Poulato Stadard Devato ( µ ) Coecet o Varato Stadard Devato CV 00% Mea ( µ ) -Score
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