| Exam Board | CAIE |
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| Module | FP2 (Further Pure Mathematics 2) |
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| Year | 2012 |
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| Session | June |
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| Topic | Hypothesis test of a normal distribution |
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6 A random sample of 10 observations of a normal random variable \(X\) has mean \(\bar { x }\), where
$$\bar { x } = 8.254 , \quad \Sigma ( x - \bar { x } ) ^ { 2 } = 0.912 .$$
Using a \(5 \%\) significance level, test whether the mean of \(X\) is greater than 8.05.