Allen's hummingbird (Selasphorus sasin) has been studied by zoologist Bill Alther.i Suppose a small group of 16 Allen's hummingbirds has been under study in Arizona. The average weight for these birds is )7 = 3.15 grams. Based on previous studie we can assume that the weights of Allen's hummingbirds have a normal distribution, with o = 0.32 gram. (a) Find an 80% condence interval for the average weights of Allen's hummingbirds in the study region. What is the margin of error? (Round your answers to two decimal places} lower limit upper limit BUD margin of error (b) What conditions are necessary for your calculations? (Select all that apply.) [3 a is known C] n is large C] uniform distribution of weights C] a is unknown C] normal distribution of weights (c) Interpret your results in the context of this