| Exam Board | AQA |
|---|---|
| Module | S1 (Statistics 1) |
| Year | 2008 |
| Session | January |
| Marks | 8 |
| Paper | Download PDF ↗ |
| Mark scheme | Download PDF ↗ |
| Topic | Confidence intervals |
| Type | CI from raw data list |
| Difficulty | Moderate -0.3 This is a straightforward confidence interval construction with known σ, requiring only substitution into the standard formula z*σ/√n and interpretation. The calculation is routine for S1 level, though the two-part structure and interpretation requirement add slight complexity beyond pure recall. |
| Spec | 2.04e Normal distribution: as model N(mu, sigma^2)2.04f Find normal probabilities: Z transformation5.05c Hypothesis test: normal distribution for population mean |
| Answer | Marks | Guidance |
|---|---|---|
| - "3 | 68 | 78" |
I don't see any mark scheme content to clean up in your message. You've provided:
- "Question 3:"
- "3 | 68 | 78"
This appears to be incomplete or unclear data without any marking annotations (M1, A1, B1, etc.), unicode symbols to convert, or guidance notes.
Could you please provide the full mark scheme content that needs cleaning?3 The height, in metres, of adult male African elephants may be assumed to be normally distributed with mean $\mu$ and standard deviation 0.20 .
The heights of a sample of 12 such elephants were measured with the following results, in metres.
$$\begin{array} { l l l l l l l l l l l l }
3.37 & 3.45 & 2.93 & 3.42 & 3.49 & 3.67 & 2.96 & 3.57 & 3.36 & 2.89 & 3.22 & 2.91
\end{array}$$
\begin{enumerate}[label=(\alph*)]
\item Stating a necessary assumption, construct a $98 \%$ confidence interval for $\mu$. (6 marks)
\item The mean height of adult male Asian elephants is known to be 2.90 metres.
Using your confidence interval, state, with a reason, what can be concluded about the mean heights of adult males in these two types of elephant.
\end{enumerate}
\hfill \mbox{\textit{AQA S1 2008 Q3 [8]}}