(a)[3]
Calculate unbiased estimates for the population mean and the variance.
(b)[4]
For this sample, the upper limit of an $\alpha\%$ confidence interval for the population mean is $26.0$. Determine the value of $\alpha$.
Mathematics 9709 · AS & A Level · Sampling and estimation
Sampling and estimation — practice question
From a random sample of 80 adults, each person provided an estimate, $h$ metres, for the height of a particular building. The data were summarised as follows: $n = 80$, $\sum h = 2048$, $\sum h^2 = 52760$.
Worked solution & mark scheme
This 7-mark question has a full step-by-step worked solution and mark scheme. One marking point: “Unbiased estimate of $\hat{\mu} = 25.6$ or $\frac{2048}{80}$ or $\frac{128}{5}$” …
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