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

MATLAB: An Introduction with Applications
6th Edition
ISBN:9781119256830
Author:Amos Gilat
Publisher:Amos Gilat
Chapter1: Starting With Matlab
Section: Chapter Questions
Problem 1P
icon
Related questions
Question
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.
Expert Solution
steps

Step by step

Solved in 2 steps

Blurred answer
Knowledge Booster
Point Estimation, Limit Theorems, Approximations, and Bounds
Learn more about
Need a deep-dive on the concept behind this application? Look no further. Learn more about this topic, statistics and related others by exploring similar questions and additional content below.
Recommended textbooks for you
MATLAB: An Introduction with Applications
MATLAB: An Introduction with Applications
Statistics
ISBN:
9781119256830
Author:
Amos Gilat
Publisher:
John Wiley & Sons Inc
Probability and Statistics for Engineering and th…
Probability and Statistics for Engineering and th…
Statistics
ISBN:
9781305251809
Author:
Jay L. Devore
Publisher:
Cengage Learning
Statistics for The Behavioral Sciences (MindTap C…
Statistics for The Behavioral Sciences (MindTap C…
Statistics
ISBN:
9781305504912
Author:
Frederick J Gravetter, Larry B. Wallnau
Publisher:
Cengage Learning
Elementary Statistics: Picturing the World (7th E…
Elementary Statistics: Picturing the World (7th E…
Statistics
ISBN:
9780134683416
Author:
Ron Larson, Betsy Farber
Publisher:
PEARSON
The Basic Practice of Statistics
The Basic Practice of Statistics
Statistics
ISBN:
9781319042578
Author:
David S. Moore, William I. Notz, Michael A. Fligner
Publisher:
W. H. Freeman
Introduction to the Practice of Statistics
Introduction to the Practice of Statistics
Statistics
ISBN:
9781319013387
Author:
David S. Moore, George P. McCabe, Bruce A. Craig
Publisher:
W. H. Freeman