Standard +0.3 This is a straightforward one-sample t-test with all steps clearly signaled: calculate sample mean and standard deviation from given data, set up hypotheses for μ=94, compute t-statistic, compare to critical value at 10% significance. While it requires careful arithmetic and knowledge of the t-test procedure, it's a standard textbook application with no conceptual subtleties or novel problem-solving required.
7 A large number of athletes are taking part in a competition. The masses, in kg , of a random sample of 7 athletes are as follows.
$$\begin{array} { l l l l l l l }
98.1 & 105.0 & 92.2 & 89.8 & 99.9 & 95.4 & 101.2
\end{array}$$
Assuming that masses are normally distributed, test, at the \(10 \%\) significance level, whether the mean mass of athletes in this competition is equal to 94 kg .
7 A large number of athletes are taking part in a competition. The masses, in kg , of a random sample of 7 athletes are as follows.
$$\begin{array} { l l l l l l l }
98.1 & 105.0 & 92.2 & 89.8 & 99.9 & 95.4 & 101.2
\end{array}$$
Assuming that masses are normally distributed, test, at the $10 \%$ significance level, whether the mean mass of athletes in this competition is equal to 94 kg .\\
\hfill \mbox{\textit{CAIE FP2 2018 Q7 [7]}}