A sample of $n$ observations was taken from a population of mean $\mu$ and variance 10. Find the lea

Question

A sample of $n$ observations was taken from a population of mean $\mu$ and variance 10. Find the least sample size required such that the probability of the sample mean lying between $\mu -0.5$ and $\mu +0.5$ is more than 0.89. State an assumption that you have to make in order to proceed with this calculation. [6]

Accepted Answer

$n=103$. Assumption: $n$ is sufficiently large for the Central Limit Theorem to make the sample mean approximately normal.

2012 CJC P2 Q11

2012 CJC P2 Q11

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