Chapter 18: Further Kinematics

A-level MathematicsStatistics and Mechanics7 topicsHigher

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Further Hypothesis Testing Long-Answer Questions

Examiner-style long-answer practice with automatic marking, improvement advice and ProofCoach tracking.

4 questions24 marks36 min

standard / hard / synoptic

6 marksfindstandardEdexcel

SM18-1: sample mean 72, known sigma 8, n = 25. Find standard error = 1.6 for normal approximation and test conclusions. Show the method clearly by using divide the population standard deviation by

\sqrt{n}

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6 marksshow thatstandardEdexcel

SM18-2 verification: show that the printed answer is valid by applying divide the population standard deviation by

\sqrt{n}

. Include a check using sample mean 72, known sigma 8, n = 25.

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6 marksprovehardEdexcel

SM18-3 proof: starting with sample mean 72, known sigma 8, n = 25, prove standard error = 1.6 for normal approximation and test conclusions; give restrictions.

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6 markshencesynopticEdexcel

Using SM18-4's earlier result standard error = 1.6, hence solve the linked problem in normal approximation and test conclusions and state whether the answer is exact or rounded.

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17. Applications of Forces

End of Statistics and Mechanics

Key learning objectives

Understand the key principles behind Further Kinematics.
Apply these ideas to exam-style questions.
Recall the essential definitions and key terms.