llen's hummingbird (Selasphorus sasin) has been studied by zoologist Bill Alther.t Suppose a small group of 15 Allen's hummingbirds has been under study in Arizona. The average or 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 o = 0.30 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

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Allen's hummingbird (Selasphorus sasin) has been studied by zoologist Bill Alther.t Suppose a small group of 15 Allen's hummingbirds has been under study in Arizona. The average v
or 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 o = 0.30 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
(b) What conditions are necessary for your calculations? (Select all that apply.)
uniform distribution of weights
n is large
normal distribution of weights
o is unknown
Vo is known
(c) Interpret your results in the context of this problem.
OWe are 80% confident that the true average weight of Allen's hummingbirds falls within this
interval.
The probability that this interval contains the true average weight of Allen's hummingbirds is
0.80.
O We are 20% confident that the true average weight of Allen's hummingbirds falls within this
interval.
The probability that this interval contains the true average weight of Allen's hummingbirds is
0.20.
Aol.
i 725
Σ
Transcribed Image Text:Allen's hummingbird (Selasphorus sasin) has been studied by zoologist Bill Alther.t Suppose a small group of 15 Allen's hummingbirds has been under study in Arizona. The average v or 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 o = 0.30 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 (b) What conditions are necessary for your calculations? (Select all that apply.) uniform distribution of weights n is large normal distribution of weights o is unknown Vo is known (c) Interpret your results in the context of this problem. OWe are 80% confident that the true average weight of Allen's hummingbirds falls within this interval. The probability that this interval contains the true average weight of Allen's hummingbirds is 0.80. O We are 20% confident that the true average weight of Allen's hummingbirds falls within this interval. The probability that this interval contains the true average weight of Allen's hummingbirds is 0.20. Aol. i 725 Σ
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