Problem # 1 On clear, cold nights in the central Florida citrus region, the precise location of below-freezing temperatures is important because the methods of protecting trees from freezing conditions are very expensive. One method of locating likely cold spots is by relating temperature to elevation. It is conjectured that on calm nights the cold spots will be at low elevations. The highest and lowest spots in a particular grove yielded the minimum temperatures listed in the accompanying table for ten cold nights in a recent winter. Night High Elevation Low Elevation 32.9 31.8 33.2 31.9 32.0 29.2 33.1 33.2 33.5 33.0 34.6 33.9 32.1 31.0 33.1 32.5 30.2 28.9 29.1 28.0 Is there sufficient evidence to support the conjecture that low elevations tend to be colder? Use both exact and normal approximation tests. Does the normal approximation appear to be adequate when n=10? Use a=0.02