ECON2P91_ReviewQuestions_No1_Solutions_Fall2009

ECON2P91_ReviewQuestions_No1_Solutions_Fall2009 -...

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Unformatted text preview: 1ECON2P91: Review Questions No. 1 1. Complete the following formulas (read text) Standard error of the mean: SE Y ( ) = ...... 90% confidence interval for the mean: Y ...... 95% confidence interval for the mean: Y ....... 99% confidence interval for the mean: Y ....... the t-statistic for single means: ( 29 t Y SE =- ...... (. ..) Standard error of the difference between two means: SE Y Y ( ) 1 2- = ....... 90% confidence interval for the difference between two means: ( ) ..... Y Y 1 2- 95% confidence interval for the difference between two means: ( ) ..... Y Y 1 2- 99% confidence interval for the difference between two means: ( ) ..... Y Y 1 2- the t-statistic for the difference between means: t Y Y SE =-- ( ) ..... (. ..) 1 2 Expected value (or mean) of a discrete random variable: E Y Y ( ) ... = = Variance of a discrete random variable: Var Y E Y Y Y ( ) ( ) ... = = - = 2 2 Expected value (the mean) or sampling distribution of the mean: E Y ( ) ... = the correlation between X and Y: Corr X Y Cov X Y ( , ) ( , ) ? = E(X+Y)=E(X)+... Var(X+Y)=Var(X)+Var(Y)+... 1 2. Page 60 q. 2.10 Using the fact that if 2 , Y Y Y N : then ~ (0,1) Y Y Y N - and Appendix Table 1, we have (a) 1 3 1 Pr ( 3) Pr (1) 0 8413 2 2 Y Y-- = = = . . (b) Pr( 0) 1 Pr( 0) 3 3 1 Pr 1 ( 1) (1) 0 8413 3 3 Y Y Y =- -- =- =- - = = . . (c) 40 50 50 52 50 Pr (40 52) Pr 5 5 5 (0 4) ( 2) (0 4) [1 (2)] 0 6554 1 0 9772 0 6326 Y Y--- = = .- - = .-- = .- + . = . . (d) 6 5 5 8 5 Pr (6 8) Pr 2 2 2 (2 1213) (0 7071) 0 9831 0 7602 0 2229 Y Y--- = = .- . = .- . = . . 3. Page 60 q. 2.11 (a) 0.90 (b)0.05 (c) 0.05 (d)When 2 10 ~ , Y then 10, /10 ~ . Y F (e) 2 , Y Z = where ~ N(0,1), Z thus Pr ( 1) Pr( 1 1) 0.32. Y Z =- = 4. Page 60 q. 2.12 (a) 0.05 (b)0.950 (c) 0.953 (d)The t df distribution and N(0, 1) are approximately the same when df is large....
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This note was uploaded on 04/28/2011 for the course ECON 2P91 taught by Professor Ogwang during the Winter '09 term at Brock University, Canada.

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ECON2P91_ReviewQuestions_No1_Solutions_Fall2009 -...

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