Mathematics 9709 · AS & A Level · Sampling and estimation

Sampling and estimation — practice question

The heights of one particular deer species are known to have a standard deviation of $0.35\,\text{m}$. A zoologist randomly selects a sample of $150$ deer and records a sample mean height of $1.42\,\text{m}$.
(a)[3]

Calculate a $96\%$ confidence interval for the mean height of the population.

(b)[1]

Bubay claims that $96\%$ of deer in this species are likely to have heights within this confidence interval. Explain briefly whether Bubay is correct.

Worked solution & mark scheme

This 4-mark question has a full step-by-step worked solution and mark scheme. One marking point: Correct $z$-value: $z=2.054$ or $2.055$

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