(a)[3]
Calculate a $96\%$ confidence interval for the mean height of the population.
(b)[1]
Bubay says that $96\%$ of deer of this species are likely to have heights that lie inside this confidence interval. Explain briefly whether Bubay is correct.
Mathematics 9709 · AS & A Level · Sampling and estimation
Sampling and estimation — practice question
The heights of a particular deer species are understood to have standard deviation $0.35\text{ m}$. A zoologist selects a random sample of $150$ of these deer and records a sample mean height of $1.42\text{ m}$.
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This 4-mark question has a full step-by-step worked solution and mark scheme. One marking point: “Critical value $z=2.054$ or $2.055$ (accept $2.05$ or $2.06$)” …
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