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Midterm_Solutions_Summer2004

Midterm_Solutions_Summer2004 - Midterm Solution 1 a Since...

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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. : 0 H The two population variances are equal : ( 29 2 2 2 1 σ σ = : A H The two population variances are not equal : ( 29 2 2 2 1 σ σ 70 . 1 94 . 0 60 . 1 971 . 0 267 . 1 2 2 2 1 2 2 = = = = s s F 98 . 1 05 . 0 2 2245 = F F α , df = 23, 23 (since we don’t have a value for 23, 23 we will take the nearest value which is for 24, 24.) < 2 α F F Do not reject 0 H and assume equal variances. b) : 0 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 μ μ = : 0 down up A H μ μ : c) 90 % C.I: 2 1 2 2 1 1 1 n n

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Midterm_Solutions_Summer2004 - Midterm Solution 1 a Since...

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