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Determine $\alpha$.
Mathematics 9709 · AS & A Level · Hypothesis testing
Hypothesis testing — practice question
The lengths of a particular lizard species are normally distributed with standard deviation $3.2\text{ cm}$. A naturalist records the lengths of a random sample of 100 lizards of this species and obtains an $\alpha\%$ confidence interval for the population mean. The full width of the interval is $1.25\text{ cm}$.
Worked solution & mark scheme
This 5-mark question has a full step-by-step worked solution and mark scheme. One marking point: “Apply $2 \times z \times \frac{3.2}{10} = 1.25$ (or the equivalent form without $2\times$).” …
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