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Unformatted text preview: Principles of Statistics 1 Lecture 11: Math 203 Abbas Khalili Department of Mathematics and Statistics McGill University May 18, 2011 Principles of Statistics 1 Lecture 11: Math 203 p. 1/3 5 Chapter 8 Tests of Hypothesis Principles of Statistics 1 Lecture 11: Math 203 p. 2/3 5 Introduction So far we have learned how to use sample data x 1 ,x 2 ,... ,x n to estimate a parameter of a interest, such as mean ( ) or proportion ( p ), of a population by: Principles of Statistics 1 Lecture 11: Math 203 p. 3/3 5 Introduction So far we have learned how to use sample data x 1 ,x 2 ,... ,x n to estimate a parameter of a interest, such as mean ( ) or proportion ( p ), of a population by: point estimate Principles of Statistics 1 Lecture 11: Math 203 p. 3/3 5 Introduction So far we have learned how to use sample data x 1 ,x 2 ,... ,x n to estimate a parameter of a interest, such as mean ( ) or proportion ( p ), of a population by: point estimate confidence interval Principles of Statistics 1 Lecture 11: Math 203 p. 3/3 5 Introduction So far we have learned how to use sample data x 1 ,x 2 ,... ,x n to estimate a parameter of a interest, such as mean ( ) or proportion ( p ), of a population by: point estimate confidence interval In addition to these, we may also be interested in making an inference about how the value of a parameter, e.g. or p , is related to a specific numerical value. Principles of Statistics 1 Lecture 11: Math 203 p. 3/3 5 Examples 1. An insurance company is reviewing its current policy rates. They are concerned that the true average claim amount is actually higher than what they originally set, which was $1 , 800 . Principles of Statistics 1 Lecture 11: Math 203 p. 4/3 5 Examples 1. An insurance company is reviewing its current policy rates. They are concerned that the true average claim amount is actually higher than what they originally set, which was $1 , 800 . 2. The maker of a certain model car claimed that his car averaged at least 31 mpg. A sample of 9 cars showed a mean of x = 29 . 43 miles with a s = 3 miles. what do you conclude about the manufacturers claim? Principles of Statistics 1 Lecture 11: Math 203 p. 4/3 5 Examples 1. An insurance company is reviewing its current policy rates. They are concerned that the true average claim amount is actually higher than what they originally set, which was $1 , 800 . 2. The maker of a certain model car claimed that his car averaged at least 31 mpg. A sample of 9 cars showed a mean of x = 29 . 43 miles with a s = 3 miles. what do you conclude about the manufacturers claim? 3. A manufacturer company claims that in a lot of 1500 items produced by them only about . 5% of the items are bad (do not work properly). You as a consumer want to investigate their claim whether it is true or not....
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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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