Allen's hummingbird (Selasphorus sasin) has been studied by zoologist Bill Alther.t Suppose a small group of 11 Allen's hummingbirds has been under st 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 dis o = 0.36 gram. When finding an 80% confidence interval, what is the critical value for confidence level? (Give your answer to two decimal places.) (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 ans 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 11 Allen's hummingbirds has been under stu
average weight for these birds is x =3.15 grams. Based on previous studies, we can assume that the weights of Allen's hummningbirds have a normal distr
o = 0.36 gram.
When finding an 80% confidence interval, what is the critical value for confidence level? (Give your answer to two decimal places.)
z,
(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 answ
places.)
lower limit
upper limit
margin of error
(b) What conditions are necessary for your calculations? (Select all that apply.)
o is unknown
uniform distribution of weights
n is large
normal distribution of weights
o is known
(c) Interpret your results in the context of this problem.
We are 80% confident that the true average weight of Allen's hummingbirds falls within this
interval.
O The probability that this interval contains the true average weight of Allen's hummingbirds is
0.80.
OWe are 20% confident that the true average weight of Allen's hummingbirds falls within this
interval.
O The probability that this interval contains the true average weight of Allen's hummingbirds is
0.20.
Transcribed Image Text:Allen's hummingbird (Selasphorus sasin) has been studied by zoologist Bill Alther.t Suppose a small group of 11 Allen's hummingbirds has been under stu average weight for these birds is x =3.15 grams. Based on previous studies, we can assume that the weights of Allen's hummningbirds have a normal distr o = 0.36 gram. When finding an 80% confidence interval, what is the critical value for confidence level? (Give your answer to two decimal places.) z, (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 answ places.) lower limit upper limit margin of error (b) What conditions are necessary for your calculations? (Select all that apply.) o is unknown uniform distribution of weights n is large normal distribution of weights o is known (c) Interpret your results in the context of this problem. We are 80% confident that the true average weight of Allen's hummingbirds falls within this interval. O The probability that this interval contains the true average weight of Allen's hummingbirds is 0.80. OWe are 20% confident that the true average weight of Allen's hummingbirds falls within this interval. O The probability that this interval contains the true average weight of Allen's hummingbirds is 0.20.
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