Zoology: Hummingbirds Allens hummingbird (Selasphorus
Chapter , Problem 11(choose chapter or problem)
Zoology: Hummingbirds Allen’s hummingbird (Selasphorus sasin) has been studied by zoologist Bill Alther (Reference: Hummingbirds, K. Long and W. Alther). A small group of 15 Allen’s hummingbirds has been under study in Arizona. The average weight for these birds is \(\overline{x} = 3.15\) grams. Based on previous studies, we can assume that the weights of Allen’s hummingbirds have a normal distribution, with \(\sigma = 0.33\) gram.
(a) Find an 80% confidence interval for the average weights of Allen’s hummingbirds in the study region. What is the margin of error?
(b) What conditions are necessary for your calculations?
(c) Give a brief interpretation of your results in the context of this problem.
(d) Sample Size Find the sample size necessary for an 80% confidence level with a maximal error of estimate E = 0.08 for the mean weights of the hummingbirds.
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