Allen's hummingbird (Selasphorus sasin) has been studied by zoologist Bill Alther.† Suppose a small group of 18 Allen's
Posted: Tue Jul 05, 2022 9:56 am
Allen's hummingbird (Selasphorus sasin) has beenstudied by zoologist Bill Alther.† Suppose a small groupof 18 Allen's hummingbirds has been under study inArizona. The average weight for these birdsis x = 3.10 grams. Based onprevious studies, we can assume that the weights of Allen'shummingbirds have a normal distribution,with 𝜎 = 0.36 gram.
When finding an 90% confidence interval, what is thecritical value for confidence level? (Give your answer to twodecimal places.)
zc =
(a)
Find an 90% confidence interval for the average weights ofAllen's hummingbirds in the study region. What is the margin oferror? (Round your answers to two decimal places.)
lower limitupper limitmargin of error
(b)
What conditions are necessary for your calculations? (Select allthat apply.)
uniform distribution of weights𝜎 is known𝜎 isunknownn is largenormal distribution of weights
(c)
Interpret your results in the context of this problem.
We are 90% confident that the true average weight of Allen'shummingbirds falls within this interval.The probability that thisinterval contains the true average weight of Allen's hummingbirdsis 0.9. We are 10% confident that thetrue average weight of Allen's hummingbirds falls within thisinterval.The probability that this interval contains the trueaverage weight of Allen's hummingbirds is 0.1.
(d)
Which equation is used to find the samplesize n forestimating 𝜇 when 𝜎 is known?
n =
n =
n =
n =
Find the minimal sample size necessary for an 90%confidence level with a maximal margin oferror E = 0.14 for the meanweights of the hummingbirds. (Round your answer to a wholenumber.)
hummingbirds
When finding an 90% confidence interval, what is thecritical value for confidence level? (Give your answer to twodecimal places.)
zc =
(a)
Find an 90% confidence interval for the average weights ofAllen's hummingbirds in the study region. What is the margin oferror? (Round your answers to two decimal places.)
lower limitupper limitmargin of error
(b)
What conditions are necessary for your calculations? (Select allthat apply.)
uniform distribution of weights𝜎 is known𝜎 isunknownn is largenormal distribution of weights
(c)
Interpret your results in the context of this problem.
We are 90% confident that the true average weight of Allen'shummingbirds falls within this interval.The probability that thisinterval contains the true average weight of Allen's hummingbirdsis 0.9. We are 10% confident that thetrue average weight of Allen's hummingbirds falls within thisinterval.The probability that this interval contains the trueaverage weight of Allen's hummingbirds is 0.1.
(d)
Which equation is used to find the samplesize n forestimating 𝜇 when 𝜎 is known?
n =
n =
n =
n =
Find the minimal sample size necessary for an 90%confidence level with a maximal margin oferror E = 0.14 for the meanweights of the hummingbirds. (Round your answer to a wholenumber.)
hummingbirds