Standard +0.3 This is a straightforward one-sample t-test with small sample size. Students must calculate sample mean and standard deviation from 7 values, perform a standard upper-tailed t-test at 5% significance, and state the normality assumption. While it requires multiple computational steps, it follows a completely standard procedure with no conceptual challenges beyond routine S2 material.
6 The management of the Wellfit gym claims that the mean cholesterol level of those members who have held membership of the gym for more than one year is 3.8 .
A local doctor believes that the management's claim is too low and investigates by measuring the cholesterol levels of a random sample of 7 such members of the Wellfit gym, with the following results:
$$\begin{array} { l l l l l l l }
4.2 & 4.3 & 3.9 & 3.8 & 3.6 & 4.8 & 4.1
\end{array}$$
Is there evidence, at the \(5 \%\) level of significance, to justify the doctor's belief that the mean cholesterol level is greater than the management's claim? State any assumption that you make.
6 The management of the Wellfit gym claims that the mean cholesterol level of those members who have held membership of the gym for more than one year is 3.8 .
A local doctor believes that the management's claim is too low and investigates by measuring the cholesterol levels of a random sample of 7 such members of the Wellfit gym, with the following results:
$$\begin{array} { l l l l l l l }
4.2 & 4.3 & 3.9 & 3.8 & 3.6 & 4.8 & 4.1
\end{array}$$
Is there evidence, at the $5 \%$ level of significance, to justify the doctor's belief that the mean cholesterol level is greater than the management's claim? State any assumption that you make.
\hfill \mbox{\textit{AQA S2 2008 Q6 [8]}}