Gce Model Questions Vol1 2021 Geography Question 48

A region consists of three climate zones: coastal (30 % of the area), inland (50 %) and highland (20 %). Over ten years the annual mean temperature anomalies (°C) for each zone are recorded as follows:\n\nCoastal: 0.2, 0.3, ‑0.1, 0.4, 0.0, 0.5, ‑0.2, 0.1, 0.3, 0.2\nInland: 0.4, 0.5, 0.2, 0.6, 0.3, 0.7, 0.1, 0.5, 0.6, 0.4\nHighland: ‑0.1, 0.0, ‑0.2, 0.1, ‑0.1, 0.2, ‑0.3, 0.0, 0.1, ‑0.2\n\n(a) Compute the overall regional mean temperature anomaly for the decade (average over the ten years, weighted by area).\n(b) Assuming the yearly anomalies are independent and normally distributed, test at the 95 % confidence level whether the region has experienced a statistically significant warming. Use a two‑tailed t‑test with n = 10.