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

Question

Allen's hummingbird (Selasphorus sasin) has been studied by zoologist Bill Alther.t Suppose a small group of 14 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 a-0.38 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

solution:-
given mean = 3.15 , standard deviation = 0.38
80% confidence for z is 1.28
confidence interval formula
=> x +/- z * s / sqrt(n)
=> 3.15 +/- 1.28 * 0.38 / sqrt(14)
=> (3.02 , 3.28)
lower limit = 3.02
upper limit = 3.28
margin of error = 0.13

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