- The table below shows the heights cleared, in metres, for each of 6 competitors in a high jump competition.
| Competitor | A | B | C | D | E | F |
| Height (m) | 2.05 | 1.93 | 2.02 | 1.96 | 1.81 | 2.02 |
These 6 competitors also took part in a long jump competition and finished in the following order, with C jumping the furthest.
C
A
F
D
B
E
- Calculate Spearman's rank correlation coefficient for these data.
- Stating your hypotheses clearly, test at the \(5 \%\) level of significance whether or not there is a positive correlation between results in the high jump and results in the long jump.
The product moment correlation coefficient between the height of the high jump and the length of the long jump for each competitor is found to be 0.678
- Use this value to test, at the \(5 \%\) level of significance, for evidence of positive correlation between results in the high jump and results in the long jump.
- State the condition required for the test in part (c) to be valid.
- Explain what your conclusions in part (b) and part (c) suggest about the relationship between results in the high jump and results in the long jump.
| V349 SIHI NI IMIMM ION OC | VJYV SIHIL NI LIIIM ION OO | VJYV SIHIL NI JIIYM ION OC |