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# INTRO TO STATISTICS STAT 104

ISU

GPA 3.5

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This 4 page Class Notes was uploaded by Giovani Ullrich PhD on Saturday September 26, 2015. The Class Notes belongs to STAT 104 at Iowa State University taught by Staff in Fall. Since its upload, it has received 14 views. For similar materials see /class/214404/stat-104-iowa-state-university in Statistics at Iowa State University.

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Date Created: 09/26/15

1st Midterm Formulas x XXX X 36 x s Z n x 11 1 x s x Z 20 2 y y s z n y n l y s y y 0 b1x residual y f 2nd Midterm Formulas Probability Rules Complements A and AC PAc 1 7 PA PA or B PA PB 7 PA and B PA and B PAPBA PBPAB A and B are mutually exclusive if PA and B 0 A and B are independent if PA PA B or PB PB A or PA and B PAPB Discrete random variable X Probability distribution 0 S Px S 1 ZPx 1 Mean 1 ZxPx Standard deviation 039 Z x u2Px Binomial random variable x counts the number of successes in n independent trials where the probability of success on any one trial is p n 7 Probability function Px Jpx 1 pquot x x 012n x Mean 1 np Standard deviation 039 np1 p XBinn p NOI39mal I andOm Variable Y1 Distribution of the sample mean 17 Mean 1 Standard deviation 039 shape approximately normal YNNUI a 2 Mean 1 Standard deviation SD67 Standardize z g 17 N Neg u SD j Standardize z V New Formulas for the Final Exam Inference for the population mean u when 039 is known 7 9 039 7 9 039 7 9 039 Con dence 1nterval y z to y z 7 or y i z a e 4 Con dence Level 80 90 95 98 99 2 128 165 196 233 258 Test of hypothesis 2 M 039 e Inference for the population proportion p Con dence interval see con dence levels above 21 117010 to 21 10010 n n Test of hypothesis 2 A P0 1 P0 n Inference for the population mean u when 039 is NOT known s s Con dence interval 7 t 7 t0 yt 7 a a Table T with df n 1 Test of hypothesis I y u0 s a Inference for the mean difference of responses 01 7 s 7 s Con dence interval d t id to d t 7 3 J 5 J Table T with df n 1 Test of hypothesis t Sd 2 J Inference for difference of two population means 1 u2 2 2 2 2 Con dence interval 7 J72 t i S2 to y J72 t i S2 quot1 n2 n1 quot2 Table T with df minn1 1 n2 1 Test of hypothesis t Inference For Assumptions H07 Test Stat7 Reference Interval Section 039 quotknownquot a p one mean and observations How a i z 817 92 normal or large n n Z 0 standard normal observations 7 5 normal or large n HO39IL 7 x i t 83927 9393 T 3 x t With V n 7 1 independent 52 52 pl 7 p2 samples7 observations H0 1 7 p2 i1 7 502 it 1 2 102 normal or large 711712 n1 n2 difference in means T 75173171 1 71 71 t With V the smaller of m 7 1 and n2 7 1 independent 1 1 normal samples How1 7 p2 1 7 12 i tSP 0391 0392 n1 n2 T i17x27 3P 11 twithun1 n2 72 paired data 101 d mean difference normal differences or large n HOWd iSdW twithun71 5d dit Inference For Assumptions H07 Test Stat7 Reference Interval Section H0 1 A 1 A Z p 7 I i Z P i P 17 one proportion large n 1 7 7 837 94 T or 13 i 2 standard normal 2 H0 P1 j 172 f 0 7 21 i 22 A A A A Z 1 1 A A i P11P1P21P2 pl 7 p2 independent samples 131 7 13 pl 7 172 Z n1 n2 10 3 difference in proportions large 7117712 n A 72 A n2 1 1 1 39 use 1171 2172 orp17p2i2 m m 2 n1 n2 standard normal

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