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9231 P41 - Nov 2025 - Q1 - 6 marks
6601

A group of 10 school children are asked to estimate the size of an angle \(\theta^{\circ}\) in a given acute angled triangle. These estimates, in degrees, are as follows.

\(84\)\(85\)\(77\)\(85\)\(84\)\(87\)\(86\)\(88\)\(83\)\(85\)

(a) Stating any assumptions you make, calculate a \(95\%\) confidence interval for \(\theta\).

(b) Give a reason why the assumptions made in part (a) may not be appropriate in this case.

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