A master sommelier is judging the maturation periods of 8 unique vintage wines from a vineyard. The actual maturation periods, in months, for the 8 wines are given in the following table:
WineABCDEFGHMaturation (months)5412386224451830\begin{array}{|l|c|c|c|c|c|c|c|c|} \hline \text{Wine} & A & B & C & D & E & F & G & H \\ \hline \text{Maturation (months)} & 54 & 12 & 38 & 62 & 24 & 45 & 18 & 30 \\ \hline \end{array}WineMaturation (months)A54B12C38D62E24F45G18H30
The sommelier is asked to list the wines in descending order of their maturation period (from the oldest to the youngest). She provides the following sequence:
D,F,C,A,E,H,G,B D, F, C, A, E, H, G, B D,F,C,A,E,H,G,BCalculate Spearman’s rank correlation coefficient between the sommelier's perceived order and the actual order, giving your answer to 3 decimal places.
Test, at the 5% significance level, whether there is evidence of a positive correlation between the sommelier's estimates and the true maturation periods. State your hypotheses clearly.
278 exam-style questions on CCEA A Level Maths 2.5 Data presentation and interpretation, covering 2.5.1 Data presentation and interpretation, 2.5.2 Data presentation and interpretation, 2.5.3 Data presentation and interpretation, 2.5.4 Data presentation and interpretation, 2.5.5 Data presentation and interpretation, 2.5.6 Data presentation and interpretation, 2.5.7 Data presentation and interpretation, 2.5.8 Data presentation and interpretation, 2.5.9 Data presentation and interpretation, and 2.5 Data presentation and interpretation. Each one has a worked solution and a mark scheme showing where the marks go.