Is kummingbird (Selasphorus sasin) has been studied by zoologist Bill Alther.t Suppose a small group of 10 Allen's hummingbirds has average weight for these birds is x = 3.15 grams. Based on previous studies, we can assume that the weights of Allen's hummingbirds hav o = 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 err decimal places.) lower limit upper limit margin of error (b) What conditions are necessary for your calculations? (Select all that apply.) M normal distribution of weights A o is known O o is unknown uniform distribution of weights On is large (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 we 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 0.80. O The probability that this interval contains the true average weight of Allen's hummingbirds is 0.20. (d) Find the sample size necessary for an 80% confidence level with a maximal margin of error E = 0.16 for the mean weights of the the nearest whole number.)

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Allen's hummingbird (Selasphorus sasin) has been studied by zoologist Bill Alther.t Suppose a small group of 10 Allen's hummingbirds has been
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 n
o = 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? (F
decimal places.)
lower limit
upper limit
margin of error
(b) What conditions are necessary for your calculations? (Select all that apply. )
normal distribution of weights
o is known
O o is unknown
uniform distribution of weights
n is large
(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.
O We 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 0.80.
O The probability that this interval contains the true average weight of Allen's hummingbirds is 0.20.
(d) Find the sample size necessary for an 80% confidence Ilevel with a maximal margin of error E = 0.16 for the mean weights of the humm
the nearest whole number.)
hummingbirds
Transcribed Image Text:Allen's hummingbird (Selasphorus sasin) has been studied by zoologist Bill Alther.t Suppose a small group of 10 Allen's hummingbirds has been 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 n o = 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? (F decimal places.) lower limit upper limit margin of error (b) What conditions are necessary for your calculations? (Select all that apply. ) normal distribution of weights o is known O o is unknown uniform distribution of weights n is large (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. O We 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 0.80. O The probability that this interval contains the true average weight of Allen's hummingbirds is 0.20. (d) Find the sample size necessary for an 80% confidence Ilevel with a maximal margin of error E = 0.16 for the mean weights of the humm the nearest whole number.) hummingbirds
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