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Unformatted text preview: Principles of Statistics 1 Lecture 12: Math 203 Abbas Khalili Department of Mathematics and Statistics McGill University May 19, 2011 Principles of Statistics 1 Lecture 12: Math 203 p. 1/3 6 Large sample onesided hypothesis test Hypothesis test for the population mean : Principles of Statistics 1 Lecture 12: Math 203 p. 2/3 6 Large sample onesided hypothesis test Hypothesis test for the population mean : In general, if we have hypotheses of the form H : vs. H A : > Principles of Statistics 1 Lecture 12: Math 203 p. 2/3 6 Large sample onesided hypothesis test Hypothesis test for the population mean : In general, if we have hypotheses of the form H : vs. H A : > then the test statistic is Z = X s/ n Principles of Statistics 1 Lecture 12: Math 203 p. 2/3 6 Large sample onesided hypothesis test Hypothesis test for the population mean : In general, if we have hypotheses of the form H : vs. H A : > then the test statistic is Z = X s/ n and we reject H if Z > z . The type I error will be no larger than . Principles of Statistics 1 Lecture 12: Math 203 p. 2/3 6 Large sample onesided hypothesis test Hypothesis test for the population mean : Principles of Statistics 1 Lecture 12: Math 203 p. 3/3 6 Large sample onesided hypothesis test Hypothesis test for the population mean : In general, if we have hypotheses of the form H : vs. H A : < Principles of Statistics 1 Lecture 12: Math 203 p. 3/3 6 Large sample onesided hypothesis test Hypothesis test for the population mean : In general, if we have hypotheses of the form H : vs. H A : < then the test statistic is Z = X s/ n Principles of Statistics 1 Lecture 12: Math 203 p. 3/3 6 Large sample onesided hypothesis test Hypothesis test for the population mean : In general, if we have hypotheses of the form H : vs. H A : < then the test statistic is Z = X s/ n and we reject H if Z < z . The type I error will be no larger than . Principles of Statistics 1 Lecture 12: Math 203 p. 3/3 6 Twosided hypotheses In general, if we have the hypotheses of the form H : = vs. H A : negationslash = Principles of Statistics 1 Lecture 12: Math 203 p. 4/3 6 Twosided hypotheses In general, if we have the hypotheses of the form H : = vs. H A : negationslash = then the test statistic is Z = X s/ n Principles of Statistics 1 Lecture 12: Math 203 p. 4/3 6 Twosided hypotheses In general, if we have the hypotheses of the form H : = vs. H A : negationslash = then the test statistic is Z = X s/ n and we reject H if  Z  > z / 2 . The type I error will be no larger than ....
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This note was uploaded on 07/15/2011 for the course MATH 203 taught by Professor Dr.josecorrea during the Summer '08 term at McGill.
 Summer '08
 Dr.JoseCorrea
 Math, Statistics

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