Moderate -0.3 This is a straightforward one-sample hypothesis test with all values provided and a standard procedure to follow. While it requires correct identification of hypotheses, calculation of a test statistic, and comparison to critical value, these are routine S2 techniques with no conceptual subtleties or multi-step problem-solving required.
1 David claims that customers have to queue at a supermarket checkout for more than 5 minutes, on average.
The queuing times, \(x\) minutes, of 40 randomly selected customers result in \(\bar { x } = 5.5\) and \(s ^ { 2 } = 1.31\).
Investigate, at the \(1 \%\) level of significance, David's claim.
1 David claims that customers have to queue at a supermarket checkout for more than 5 minutes, on average.
The queuing times, $x$ minutes, of 40 randomly selected customers result in $\bar { x } = 5.5$ and $s ^ { 2 } = 1.31$.
Investigate, at the $1 \%$ level of significance, David's claim.
\hfill \mbox{\textit{AQA S2 2008 Q1 [6]}}