1. **State the problem:** We want to find the Spearman's Rank correlation coefficient between tourists' and locals' scores for 7 Penang attractions to see if their opinions are similar. 2. **Spearman's Rank correlation formula:** $$r_s = 1 - \frac{6 \sum d_i^2}{n(n^2 - 1)}$$ where $d_i$ is the difference between ranks of each attraction's scores, and $n$ is the number of attractions. 3. **Assign ranks to tourists' scores:** - Scores: 8.5, 9.0, 7.5, 9.5, 6.0, 6.5, 5.5 - Sorted descending: 9.5 (1), 9.0 (2), 8.5 (3), 7.5 (4), 6.5 (5), 6.0 (6), 5.5 (7) - Tourists' ranks: Penang Hill (3), Kek Lok Si (2), Batu Ferringhi (4), George-town (1), Clan Jetties (6), Entopia (5), Penang Bridge (7) 4. **Assign ranks to locals' scores:** - Scores: 7.0, 8.5, 6.5, 9.0, 7.5, 5.5, 4.5 - Sorted descending: 9.0 (1), 8.5 (2), 7.5 (3), 7.0 (4), 6.5 (5), 5.5 (6), 4.5 (7) - Locals' ranks: Penang Hill (4), Kek Lok Si (2), Batu Ferringhi (5), George-town (1), Clan Jetties (3), Entopia (6), Penang Bridge (7) 5. **Calculate differences $d_i$ and $d_i^2$:** |Attraction|Tourists' Rank|Locals' Rank|$d_i$|$d_i^2$| |---|---|---|---|---| |Penang Hill|3|4|3-4=-1|1| |Kek Lok Si|2|2|0|0| |Batu Ferringhi|4|5|4-5=-1|1| |George-town|1|1|0|0| |Clan Jetties|6|3|6-3=3|9| |Entopia|5|6|5-6=-1|1| |Penang Bridge|7|7|0|0| Sum of $d_i^2 = 1 + 0 + 1 + 0 + 9 + 1 + 0 = 12$ 6. **Calculate Spearman's rank correlation coefficient:** $$r_s = 1 - \frac{6 \times 12}{7(7^2 - 1)} = 1 - \frac{72}{7(49 - 1)} = 1 - \frac{72}{7 \times 48} = 1 - \frac{72}{336} = 1 - 0.2143 = 0.7857$$ 7. **Interpretation:** An $r_s$ of approximately 0.79 indicates a strong positive correlation between tourists' and locals' rankings of Penang attractions, meaning their opinions are quite similar but not identical.