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Kitchener Ridge: x̄ = 46.2, σ = 8, n = 64, so SE = 1. Compute the margin of error for a 90 % interval (z = 1.645). Tolerance ±0.005.

Kitchener Ridge: x̄ = 46.2, σ = 8, n = 64, so SE = 1. Compute the margin of error for a 90 % interval (z = 1.645). Tolerance ±0.005.

Answer

1.645

Cells - Margin of error at 90 % · ±0.005 Margin = z₀.₀₅ × SE = 1.645 × 1 = 1.645, giving (44.56, 47.85) — narrower than the 95 % margin of 1.96 because less confidence is demanded.

IBS1 §8.1 (interpretation; the n = 25 / 36 / 100 width comparison), CC BY 4.0; BCc ch 3; H-W7 (two-level interpretation, consultant-claim shape) — shape only

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