Mathematics 9709 · AS & A Level · Sampling and estimation

Sampling and estimation — practice question

A random sample containing $200$ values of a random variable $X$ produces the following summary: $n = 200$, $\sum (x - 2) = 60$, $\sum (x - 2)^2 = 20$.
(a)[6]

Find a $95\%$ confidence interval for the population mean of $X$.

(b)[1]

State which part of your solution to part (a) uses the Central Limit Theorem.

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 mean $\bar x = 2+\frac{60}{200}=2.3$

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