| Exam Board | CAIE |
|---|
| Module | FP2 (Further Pure Mathematics 2) |
|---|
| Year | 2016 |
|---|
| Session | November |
|---|
| Topic | Hypothesis test of a normal distribution |
|---|
6 A random sample of 8 observations of a normal random variable \(X\) has mean \(\bar { x }\), where
$$\bar { x } = 6.246 \quad \text { and } \quad \Sigma ( x - \bar { x } ) ^ { 2 } = 0.784$$
Test, at the \(5 \%\) significance level, whether the population mean of \(X\) is less than 6.44.