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Q1) Allen's hummingbird has been examined by zoologist Bill Alther a small group of 15 Allen's hummingbirds has been under study in Arizona. Average weight for these birds is x¯ =3.15 gram. Based on earlier studies, we can suppose that weights of Allen's hummingbirds have normal distribution, with σ=0.33 gram.
a) Determine 80% confidence interval for average weights of Allen's hummingbirds in study regions. Determine the margin of error?
b) What conditions are essential for your computation?
c) Give a short interpretation of the results in content of this problem
d) Sample size. Determine sample size essential for 80% confidence level with maximal error of estimate E=o.o8 for mean weight of hummingbirds.
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