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Allen\'s hummingbird (Selasphorus sasin) has been studied by zoologist Bill Alth

ID: 3153496 • Letter: A

Question

Allen's hummingbird (Selasphorus sasin) has been studied by zoologist Bill Alther.† Suppose a small group of 16 Allen's 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 = 0.28 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? (Round your answers to two decimal places.)

lower limit

upper limit

margin of error

Explanation / Answer

Here n is 16 so t value for 80% is 1.341

Margind error =t*sd/sqrt(n)=1.341*0.28/sqrt(16)=0.09387

Now CI=xbar+/-margin error

Lower limit=3.15-0.09387=3.05613

Upper limit=3.15+0.09387=3.24387

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