| 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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9 A random sample of 9 observations of a normally distributed random variable \(X\) gave the following summarised data.
$$\Sigma x = 94.5 \quad \Sigma x ^ { 2 } = 993.6$$
Test, at the \(5 \%\) significance level, whether the population mean of \(X\) is 10.2 .
Calculate a \(90 \%\) confidence interval for the population mean of \(X\).