3. [-/20 Points] DETAILS BBBASICSTAT8ACC 9.1.021. MY NOTES ASK YOUR TEACH Bill Alther Is a zoologist who studies Anna's hummingbird (Calypte anna). (Reference: Hummingbirds, K. Long, W. Alther.) Suppose that in a remote part of the Grand Canyon, a rando sample of six of these birds was caught, weighed, and released. The weights (in grams) were as follows. 3.7 2.9 3.8 4.2 4.8 3.1 The sample mean is x = 3.75 grams. Let x be a random variable representing weights of hummingbirds in this part of the Grand Canyon, We assume that & has a normal distribution a a = 0.64 gram. Suppose it is known that for the population of all Anna's hummingbirds, the mean weight is a = 4 30 grams. Do the data indicate that the mean weight of these birds in this part of the Grand Canyon is less than 4,30 grams? Use a = 0.10. (a) What is the level of significance? (Enter a number.) State the null and alternate hypotheses. Will you use a left-tailed, right-tailed, or two-tajled test? OHpip = 4.3 gi Hit H = 4.3 g; two-tailed OHoil