Allen\'s hummingbird has been studied by zoologist Bill Alther. Suppose a small

Question

Allen's hummingbird has been studied by zoologist Bill Alther. Suppose a small group of 16 Allen's hummingbirds has been study in Arizona. The average weight for these is 3.15 grams. Based on previous studies, we can assume that the weight of Allen's hummingbirds have a normal distribution, with [sigma space equals space.24 space] gram.

Find an 80% confidence interval for the average weights of Allen's hummingbirds in the study. Also calculate margin of error:

lower bound ___

upper bound____

Margin of error ____

Explanation / Answer

here std error =std deviation/(n)1/2 =0.06

for 80% confidence interval z=1.2816

hence lower bound =sample mean -z*std error =3.0731

lower bound =sample mean +z*std error =3.2269

margin of error =z*std error =0.0769

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