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:

$(months)5412386224451830\begin{array}{|l|c|c|c|c|c|c|c|c|} \hline \text{Wine} & A & B & C & D & E & F & G & H \\ \hline \text{Maturation (months)} & 54 & 12 & 38 & 62 & 24 & 45 & 18 & 30 \\ \hline \end{array}$

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

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.

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:

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

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.

2.2.2 Scatter diagrams and correlation

Question 21

Markscheme

2.2.2 Scatter diagrams and correlation

Question 21

Markscheme

2.2.2 Scatter diagrams and correlation

Question 21

2.2.2 Scatter diagrams and correlation Questions

2.2.2 Scatter diagrams and correlation

Question 21

2.2.2 Scatter diagrams and correlation Questions