ELEM STATISTICS [C3T1G1]
ELEM STATISTICS [C3T1G1] MATH 220
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This 1 page Class Notes was uploaded by Eunice Schoen on Saturday September 26, 2015. The Class Notes belongs to MATH 220 at James Madison University taught by Roy Heatwole in Fall. Since its upload, it has received 6 views. For similar materials see /class/214021/math-220-james-madison-university in Mathematics (M) at James Madison University.
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Date Created: 09/26/15
Equation Sheet Denton Asdourian Deviation X X IQR Q3 Q1 Zor if Standard Deviation s 1 El 1 13939 sum of squared deviations n Empirical Rule 68 f i 5 95 f 1 35 All or nearly all T 2 35 X X Zscore z s 1 1 Correlation r r 71244 712X XXU n is the number of points X and 7 are means and 5X5y 11 11 s s X y are standard deviations for X andy the sum is taken over all n observations Regression Line equation Let denote the predicted value of y s 3 a bX a denotes yintercept a 7 bX and b denotes slope b 11 SX Residual sum ofsquares Z residual2 2y 32 This squares each vertical distance between a point and the line and gets the sum 1 Margin of Error when using a simple random sample T X 100 11 If the events are disjoint then HA and B 0 so PA or B PA PB For the intersection of two independent events HA and B PA X PB For the union of two events PA or B PA PB PA and B Conditional Probability of Event A given that event B has occurred PA B PAandB PA 9 gtlt P03 PAandB PB A X PA Independent PA B PA or PB A PUB PAandb PA gtlt PB Probability Distribution mean u 2 XP X called weighted average PAand5 P Normal Distribution Cumulative Probability falling below the point u 2039 X Complement Probability falling above the point u ZO39X Zscore for a value X ofa random variable the number of standard deviations that X falls from the X I o mean u Equation 2 Standard Normal Distribution the normal distribution with mean u0 and SD 01 It is the distribution ofnormal zscores When a random variable s values are converted to zscores by subtracting the mean and dividing by the SD the zscores have the standard normal dist u0 61 Conditions for Binomial Distribution I Formula for binomial probabilities P X L p X n X H X 0L2n n is called n factorial 1 X 2 X 3 X X n Mean u and Standard Deviation 039 u 11p 039 111p1 p Sampling Distribution For binary data Mean p and Standard Deviation pa 7 If n is sufficiently large that the eXpected numbers of outcomes of the two types 12p and 121 p 215 then this sampling distribution is approx normal Standard error of X the standard deviation of the sampling distribution of the sample mean X For a quantitative variable the sampling distribution of X has center mean u and spread standard error 015 Sampling distribution of X more bell shaped as n increases 90 CI 221645se 95c1 jail96se 99 CI jziz58se