Allen's hummingbird (Selasphorussasin) has been studied by zoologist Bill Alther Suppose a small group of 10 Aliens hummingbirds has been under study in Arizona. The average weight for these birds is x = 3.15 grams. Based on previous studies, we can assume that the weights of Allen's hummingbirds have a normal distribution, with a = 0.38 gram. When Finding an 80% confidence interval, what is the critical value for confidence level? (Give your answer to two decimal places.) 2. = E (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.) lowernmn :1 uppemm :1 margin of error :] (b) What conditions are necessary for your calculations? (Select all that apply.) C normal distribution of weights C a is known C n is large C uniform distribution of weights C a is unknown (:1 Interpret your results in the context of this problem. 0 We are 80% confident that the true average weight of Allen's hummingbirds falls within this interval. 0 The probability that this interval contains the true average weight of Allen's hummingbirds is 0.20. O The probability that this interval contains the true average weight of Allen's hummingbirds is 0.80. Q We are 20% confident that the true average weight of Allen's hummingbirds falls within this interval