| Exam Board | CAIE |
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| Module | FP2 (Further Pure Mathematics 2) |
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| Year | 2017 |
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| Session | Specimen |
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| Topic | Hypothesis test of a normal distribution |
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5 A random sample of 10 observations of a normal variable \(X\) gave the following summarised data, where \(\bar { x }\) is the sample mean.
$$\Sigma x = 222.8 \quad \Sigma ( x - \bar { x } ) ^ { 2 } = 4.12$$
Find a \(95 \%\) confidence interval for the population mean.