Edexcel S4 2004 June — Question 1 4 marks

Exam BoardEdexcel
ModuleS4 (Statistics 4)
Year2004
SessionJune
Marks4
PaperDownload PDF ↗
Mark schemeDownload PDF ↗
TopicChi-squared goodness of fit
TypeF-test for equality of variances
DifficultyStandard +0.8 This is a straightforward application of F-distribution tables requiring students to look up two critical values and subtract probabilities. While it's from Further Maths S4 (making it inherently more advanced), the question itself is purely procedural table lookup with no conceptual insight or problem-solving required. The calculation is simple once values are found, making it slightly above average difficulty mainly due to the topic being Further Maths rather than the question's complexity.
Spec5.05c Hypothesis test: normal distribution for population mean

  1. The random variable \(X\) has an \(F\)-distribution with 8 and 12 degrees of freedom.
Find \(\mathrm { P } \left( \frac { 1 } { 5.67 } < X < 2.85 \right)\).
(4)

\begin{enumerate}
  \item The random variable $X$ has an $F$-distribution with 8 and 12 degrees of freedom.
\end{enumerate}

Find $\mathrm { P } \left( \frac { 1 } { 5.67 } < X < 2.85 \right)$.\\
(4)\\

\hfill \mbox{\textit{Edexcel S4 2004 Q1 [4]}}