Standard +0.3 This is a straightforward one-sample t-test with clear hypotheses (H₀: μ = 1.2 vs H₁: μ > 1.2), requiring calculation of sample mean and standard deviation from given data, then applying the standard t-test procedure at a stated significance level. While it involves multiple computational steps and understanding of hypothesis testing framework, it follows a completely standard template with no conceptual subtleties or novel problem-solving required, making it slightly easier than average.
7 A greengrocer claims that his cabbages have a mean mass of more than 1.2 kg . In order to check his claim, he weighs 10 cabbages, chosen at random from his stock. The masses, in kg, are as follows.
$$\begin{array} { l l l l l l l l l l }
1.26 & 1.24 & 1.17 & 1.23 & 1.18 & 1.25 & 1.19 & 1.20 & 1.21 & 1.18
\end{array}$$
Stating any assumption that you make, test at the \(10 \%\) significance level whether the greengrocer's claim is supported by this evidence.
7 A greengrocer claims that his cabbages have a mean mass of more than 1.2 kg . In order to check his claim, he weighs 10 cabbages, chosen at random from his stock. The masses, in kg, are as follows.
$$\begin{array} { l l l l l l l l l l }
1.26 & 1.24 & 1.17 & 1.23 & 1.18 & 1.25 & 1.19 & 1.20 & 1.21 & 1.18
\end{array}$$
Stating any assumption that you make, test at the $10 \%$ significance level whether the greengrocer's claim is supported by this evidence.
\hfill \mbox{\textit{CAIE FP2 2011 Q7 [8]}}