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:
\begin{array}{|l|c|c|c|c|c|c|c|c|} \hline Wine\text{Wine}Wine & A & B & C & D & E & F & G & H \ \hline Maturation (months)\text{Maturation (months)}Maturation (months) & 54 & 12 & 38 & 62 & 24 & 45 & 18 & 30 \ \hline \end{array}
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,BD, F, C, A, E, H, G, BD,F,C,A,E,H,G,B
Calculate 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.
Practise Edexcel A Level Maths Regression, Correlation and Hypothesis Testing with exam-style questions for A Level Maths. 100 questions covering Exponential Models, Measuring Correlation, and Hypothesis Testing for Zero Correlation, matched to the Edexcel A Level Maths (9MA0) specification and written in Paper 1, Paper 2 and Paper 3 style. Every question includes a full worked solution and mark scheme, so you can see where marks are awarded rather than just whether you got the answer right.