(a)[3]
Calculate an approximate $96\%$ confidence interval for the probability that the die shows a six on one throw.
(b)[1]
Maroulla claims that the die is biased. Use your answer to part (a) to comment on this claim.
Mathematics 9709 · AS & A Level · Sampling and estimation
Sampling and estimation — practice question
A six-sided die has faces numbered $1, 2, 3, 4, 5, 6$. Over 300 throws, a six is obtained 56 times.
Worked solution & mark scheme
This 4-mark question has a full step-by-step worked solution and mark scheme. One marking point: “Correct interval expression $\frac{56}{300} \pm z\sqrt{\frac{56}{300}\cdot\frac{244}{300}\cdot\frac{1}{300}}$” …
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