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Formula Sheet

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Formula Sheet

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3 Pages Partial Study Notes > 2 Years old
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Formula Sheet
Topics this document covers:
Law Statistics Applied mathematics Parametric statistics Data analysis Statistical inference Summary statistics Probability theory Confidence interval Student's t-statistic Student's t-distribution Variance Standard deviation
This is a Partial Set of Study Notes

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Topics this document covers:
Law Statistics Applied mathematics Parametric statistics Data analysis Statistical inference Summary statistics Probability theory Confidence interval Student's t-statistic Student's t-distribution Variance Standard deviation
Sample Text:
.., n. , y 0,1,2,... 3) If X is a random variable and Y=aX+b where a and b are known constants then E (Y ) aE ( X ) b and var(Y ) a 2 var( X ) . 4) If Y1,...,Yn is a random sample from a normal population with mean and if Yi i Y n then Y ~ N (0,1). / n Also, if S is the sample standard deviation, Yi S i and variance 2 , Y 2 n 1 , then ~ tn 1 S/ n where tn-1 denotes the t-distribution with n-1 degrees of freedom. A 100(1- )% confidence interval for the mean when y z /2 Y is known is n ,y where y is the realized value of Y and z /2 n is the upper 100 /2 percentage point of the 0 z /2 standard normal distribution. The test statistic used to test H0: = sided alternative when is known is Y 0 . Z / n Z has a N(0,1) distribution under H0. against a one or two 1 A 100(1- )% confidence interval for the mean when is unk...
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