| Exam Board | Edexcel |
|---|---|
| Module | S4 (Statistics 4) |
| Marks | 8 |
| Paper | Download PDF ↗ |
| Mark scheme | Download PDF ↗ |
| Topic | T-tests (unknown variance) |
| Type | Single sample t-test |
| Difficulty | Standard +0.3 This is a straightforward one-sample t-test with clearly stated hypotheses, given summary statistics, and a standard significance level. Students must calculate sample mean and standard deviation, then apply the t-test formula—all routine S4 procedures with no conceptual surprises or novel problem-solving required. Slightly above average difficulty due to being Further Maths content and requiring careful calculation, but otherwise a textbook example. |
| Spec | 5.05c Hypothesis test: normal distribution for population mean |
\begin{enumerate}
\item The weights of the contents of jars of jam are normally distributed with a stated mean of 100 g . A random sample of 7 jars was taken and the contents of each jar, $x$ grams, was weighed. The results are summarised by the following statistics.
\end{enumerate}
$$\sum x = 710.9 , \sum x ^ { 2 } = 72219.45 .$$
Test at the $5 \%$ level of significance whether or not there is evidence that the mean weight of the contents of the jars is greater than 100 g . State your hypotheses clearly.\\
(8 marks)\\
\hfill \mbox{\textit{Edexcel S4 Q1 [8]}}