3. [-I20 Points] BBBASICSTATSACC 9.1.021. ASK YOUR TEACHER 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 random 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 ; = 3.75 grams. Let X be a random variable representing weights of hummingbirds in this part of the Grand Canyon. We assume that X has a normal distribution and a = 0.64 gram. Suppose it is known that for the population of all Anna's hummingbirds, the mean weight is u = 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 signicance? (Enter a number.) State the null and alternate hypotheses. Will you use a |eft>tailed, right-tailed, or two-tailed test? ' H01\" 4.3 g; right-tailed 'Ho: I4 = 4.3 g; H1: I4