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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