Allen's hummingbird (Selasphorus sasin) has been studied by zoologist Bill Alther Suppose a small group of 17 Allen's hummingbirds has been under study in Artrone. The average weight for these bends s x-3.15 grams. Based on previous studies, we can assume that the weights of Allen's hummingbirds have a normal distribution, with 0.36 gram When finding an 80% confidence interval, what is the critical value for confidence level? (Give your answer to two decimal places.) 4 (a) Find an 80% confidence 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 margin of enor (b) What conditions are necessary for your calculations? (Select all that apply.) C is known Dis unknown On large Onormal distribution of weights uniform distribution of weights (c) Interpret your results in the context of this problem O The probability that this interval contains the true average weight of Allen's hummingbirds 0.00 O We are 80% confident that the true average weight of Aller's hummingbirds fals within this interval O The probability that this interval contains the true average weight of Allen's hummingbirds is 0.20 O We are 20% confident that the true average weight of Allen's hummingbinds falls within the interval