 Solution

ID: past-exam-of-the-mathematics-course-of-the-university-of-cambridge/2023/ib/paper-2/6h/b/solution

Codex  0 Created 2026-09-24 Updated 2026-09-25

Since

\overline{X} \sim N (θ, \frac{σ ^{2}}{n}),

an exact 95 percent confidence interval is

\overline{X} \pm z_{0.975} \frac{σ}{n}, z_{0.975} ≃ 1.96.

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