lecturenotesstatistics - MBA 604 Introduction Probaility...

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MBA 604 Introduction Probaility and Statistics Lecture Notes Muhammad El-Taha Department of Mathematics and Statistics University of Southern Maine 96 Falmouth Street Portland, ME 04104-9300
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MBA 604, Spring 2003 MBA 604 Introduction to Probability and Statistics Course Content. Topic 1: Data Analysis Topic 2: Probability Topic 3: Random Variables and Discrete Distributions Topic 4: Continuous Probability Distributions Topic 5: Sampling Distributions Topic 6: Point and Interval Estimation Topic 7: Large Sample Estimation Topic 8: Large-Sample Tests of Hypothesis Topic 9: Inferences From Small Sample Topic 10: The Analysis of Variance Topic 11: Simple Linear Regression and Correlation Topic 12: Multiple Linear Regression 1
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Contents 1D a t aA n a l y s i s 5 1 In t r odu c t i on. ................................. 5 2 G r aph i c a lM e th od s .............................. 7 3 Num e r i c a lm e s.............................. 9 4 P e r c en t i l e s................................... 1 6 5 Sample Mean and Variance F o rG r oup edD a t a .............................. 1 7 6 z - s c o r e..................................... 1 7 2 Probability 22 1 S amp l eSp a c eandEv t s .......................... 2 2 2 Probability of an event. ........................... 2 3 3 Laws of Probability. ............................. 2 5 4 C oun t in gS l eP o t s ........................... 2 8 5 R and omS l g .............................. 3 0 6 M e l gUn c e r t a t y............................. 3 0 3 Discrete Random Variables 35 1 R omV a r i ab l e s............................... 3 5 2 Exp e c t edV a lu eandV a r i an c e ........................ 3 7 3 D i s c r e t eD i s t r ibu t i on s............................. 3 8 4 M a rk o vCh a s ................................ 4 0 4 Continuous Distributions 48 1 t r c t i 4 8 2 Th eN o rm a lD i s t r t i .......................... 4 8 3 Un i f o :U [ a ,b ]................................ 5 1 4 Expon t i a l .................................. 5 2 2
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5 Sampling Distributions 56 1 Th eC en t r a lL im i tTh e o r em(CLT ) ..................... 5 6 2 S amp l in gD i s t r ibu t i on s............................ 5 6 6 Large Sample Estimation 61 1 In t r odu c t i on. ................................. 6 1 2 P o tE s t a t o r sandTh e i rP r op e r t i e s ................... 6 2 3 S g l eQu an t i t a t iv eP opu l a t i on . ...................... 6 2 4 S g l eB om i a lP l a t i ........................ 6 4 5 Tw oQu t i t a t l a t i s........................ 6 6 6 oB i a l a t i s.......................... 6 7 7 Large-Sample Tests of Hypothesis 70 1 E l em t so faS t a t i s t i c a lT e s t ........................ 7 0 2 AL a r g e -S l eS t a t i s t i c a e s t....................... 7 1 3 T e s t gaP l a t i onM e an. ......................... 7 2 4 T e s t l a t i onP r opo r t i 7 3 5 C omp a r gTw oP l a t i e s ..................... 7 4 6 C a r l a t i r r t i s .................. 7 5 7 R epo r t gR e su l t fS t a t i s t i c a e s t s :P -V a lu e............... 7 7 8 Small-Sample Tests of Hypothesis 79 1 t r c t i 7 9 2 Student’s t D i s t r t i .......................... 7 9 3 Sm a l l l eIn f e r c e sAbou taP l a t i e an . ........... 8 0 4 Small-Sample Inferences About the DiFerence Between Two Means: In- d ep end tS l e s .............................. 8 1 5 Small-Sample Inferences About the DiFerence Between Two Means: Paired S l e s .................................... 8 4 6 f e r c e l a t i onV a r i c e .................. 8 6 7 C a r l a t i a r i c e s.................... 8 7 9 Analysis of Variance 89 1 t r c t i 8 9 2 On eW a yANOVA :C l e t e lyR and i z edExp e r t a lD e s i gn . ... 9 0 3 eR i z edB l o c kD e s i gn. ....................... 9 3 3
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10 Simple Linear Regression and Correlation 98 1 In t r odu c t i on. ................................. 9 8 2 A Simple Linear Probabilistic Model ....................
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This note was uploaded on 11/08/2009 for the course ISYE 2028 taught by Professor Shim during the Spring '07 term at Georgia Institute of Technology.

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lecturenotesstatistics - MBA 604 Introduction Probaility...

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