4. On a Welsh television game show, contestants are asked to guess the weights of a random sample of seven cows. The game show judges want to investigate whether there is positive correlation between the actual weights and the estimated weights. The results are shown below for one contestant.
| Cow | A | B | C | D | E | F | G |
| Actual weight, kg | 614 | 1105 | 718 | 1001 | 889 | 770 | 682 |
| Estimated weight, kg | 700 | 1500 | 850 | 1400 | 750 | 900 | 800 |
- Calculate Spearman's rank correlation coefficient for this data set.
- Stating your hypotheses clearly, determine whether or not there is evidence at the \(5 \%\) significance level of a positive association between the actual weights and the weights as estimated by this contestant.
- One of the game show judges says, "This contestant was good at guessing the weights of the cows." Comment on this statement.