Ecology: Hummingbirds Bill Alther is a zoologist who studies Anna's hum- mingbirds (Coiypte some) (Reference: Hummingbirds by K. Long and W. Alther). Suppose that in a remote part of the Grand Canyon, a random sample of six of these birds was caught, weighed, and released. The weights [in grams) were: 3.7 2.9 3.8 4.2 4.8 3.1 The sample mean is E = 3.75 grams. Let a: be a random variable representing weights of Anna's hummingbirds in this part of the Grand Canyon. We assume that a: has a normal distribution and o' = 0.70 gram. It is known that for the I population of all Anna's hummingbirds, the mean weight is it = 4.55 grams. Do the data indicate that the mean weight of these birds in this part of the Grand Canyon is less than 4.55 grams? Use o: = 0.01