Allen's hummingbird (Selasphorus sasin) has been studied by zoologist Bill Alther.† Suppose a small group of 11 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 ? = 0.22 gram.   (b) What conditions are necessary for your calculations? (Select all that apply.) ? is known n is large uniform distribution of weights ? is unknown normal distribution of weights

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Allen's hummingbird (Selasphorus sasin) has been studied by zoologist Bill Alther.† Suppose a small group of 11 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 ? = 0.22 gram.
 
(b) What conditions are necessary for your calculations? (Select all that apply.)
? is known
n is large
uniform distribution of weights
? is unknown
normal distribution of weights
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 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 o = 0.22 gram.
When finding an 80% confidence interval, what is the critical value for confidence level? (Give your answer to two decimal places.)
2c = 1.28
(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
3.07
upper limit
3.24
margin of error
0.09
(b) What conditions are necessary for your calculations? (Select all that apply.)
I o is known
I n is large
O uniform distribution of weights
O o is unknown
C normal distribution of weights
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 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 o = 0.22 gram. When finding an 80% confidence interval, what is the critical value for confidence level? (Give your answer to two decimal places.) 2c = 1.28 (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 3.07 upper limit 3.24 margin of error 0.09 (b) What conditions are necessary for your calculations? (Select all that apply.) I o is known I n is large O uniform distribution of weights O o is unknown C normal distribution of weights
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