| Exam Board | CAIE |
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| Module | FP2 (Further Pure Mathematics 2) |
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| Year | 2013 |
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| Session | November |
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| Topic | Hypothesis test of a normal distribution |
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7 A random sample of 10 observations of a normally distributed random variable \(X\) gave the following summarised data, where \(\bar { x }\) denotes the sample mean.
$$\Sigma x = 70.4 \quad \Sigma ( x - \bar { x } ) ^ { 2 } = 8.48$$
Test, at the \(10 \%\) significance level, whether the population mean of \(X\) is less than 7.5.