Midterm_Solutions_Summer2004

Midterm_Solutions_Summer2004 - Midterm Solution : 1 a)...

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Unformatted text preview: Midterm Solution : 1 a) Since we choose the different days on which TSE went up and down, we should use two-sample test. By looking at the given boxplots ( difference boxplot should not be taken into consideration) , we can assume that the samples are from normally distributed populations. We can use two-sample t-test. Second assumption would be the equal variances. If we find equal variances, we would use pooled standard deviation, if not we will go with the other formula. : H The two population variances are equal : ( 29 2 2 2 1 = : A H The two population variances are not equal : ( 29 2 2 2 1 70 . 1 94 . 60 . 1 971 . 267 . 1 2 2 2 1 2 2 = = = = s s F 98 . 1 05 . 2 2245 = F F , df = 23, 23 (since we dont have a value for 23, 23 we will take the nearest value which is for 24, 24.) < 2 F F Do not reject H and assume equal variances. b) : H There is no difference in the populations C.D rates when the TSE goes up vs. goes down : A H There is difference in the populations C.D rates down up H = : down up A H : c) 90 % C.I: 2 1 2 2 1 1 1 n n s t x x p + - ( 29 ( 29 =- +- +- = 2 1 1 2 1 2 2 2 2 1 1 n n s n s n s p pooled standard deviation...
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This note was uploaded on 09/27/2008 for the course ADM 2304 taught by Professor Unknown during the Summer '04 term at University of Ottawa.

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Midterm_Solutions_Summer2004 - Midterm Solution : 1 a)...

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