MATH2411_final_exam_formula_sheet

MATH2411_final_exam_formula_sheet - Final Examination...

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Final Examination MATH2411 FORMULA SHEET AND DISTRIBUTION TABLES Page 1 of 6 Seat Number:________________ Do NOT mark or write down anything (including your name) on this formula sheet or distribution tables. Otherwise, 5 points will be deducted for each “marked” page .
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Final Examination MATH2411 FORMULA SHEET AND DISTRIBUTION TABLES Page 2 of 6 (I) Distribution results: (a) Consider a random sample { } from N( ), where are unknown. Then, ( ̅ ) ( ) ( ) ( ̅ ) (b) Consider a random sample { } from a distribution with unknown mean and unknown variance . Then, as is large enough, ( ̅ ) ( ) ( ̅ ) ( )
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Final Examination MATH2411 FORMULA SHEET AND DISTRIBUTION TABLES Page 3 of 6 (c) Consider two independent random samples { } from N( ), and { } from N( ), where are unknown. Then, (( ̅ ̅ ) ( )) where ( ) ( ) (( ̅ ̅ ) ( )) where ( ) ( ) ( ) (II) ( ) confidence intervals: ̅ ̅ [ ( ) ( ) ] ̅) ̅) ̅) (III) Hypothesis Testing (critical values): ) ) |
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