Allen's hummingbird has been studied by zoologist Bill author suppose the small group of 12 Allens hummingbird has been under study in Arizona. The average weight of these birds is X bar equals 3.15 g based on previous studies we can assume that the light of Allen's hummingbird has a normal distribution with a standard deviation of 0.36 g. A) find an 80% confidence interval for the average weight of Allen's hummingbirds in the study region what is the margin of error round your answer to two decimal places Lower limit= Upper limit= Margin of error= B) what conditions are necessary for your calculations select all that apply C) interpret your results in the context of this problem. 1) we are 80% confident that the true average later valentine birds falls within the interval. 2) The probability that this interval contains the true average weight of Allen's hummingbirds is 0.80. 3) The probability that this interval contains the true average weight of Alan tiny birds is 0.20 4) we are 20% confident that this true average weight of balance hummingbirds falls within this interval. D) find the sample size necessary for a 80% confidence level with the maximum margin of error 0.07 for the main way of the hummingbirds round up to the nearest whole number