. 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
. 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
MATLAB: An Introduction with Applications
6th Edition
ISBN:9781119256830
Author:Amos Gilat
Publisher:Amos Gilat
Chapter1: Starting With Matlab
Section: Chapter Questions
Problem 1P
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Allen's hummingbird (Selasphorus sasin) has been studied by zoologist Bill Alther.† Suppose a small group of 10 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
(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 | |
upper limit | |
margin of error |
b) Interpret your results in the context of this problem: choose one.
-We are 80% confident that the true average weight of Allen's hummingbirds falls within this interval.
-The probability that this interval contains the true average weight of Allen's hummingbirds is 0.20.
-We are 20% confident that the true average weight of Allen's hummingbirds falls within this interval.
-The probability that this interval contains the true average weight of Allen's hummingbirds is 0.80.
c) Find the sample size necessary for an 80% confidence level with a maximal margin of error E = 0.14 for the mean weights of the hummingbirds. (Round up to the nearest whole number.) _____ hummingbirds
Expert Solution
![](/static/compass_v2/shared-icons/check-mark.png)
Step 1
Given Data :
Sample Size,
n = 10.0
Sample Mean,
x̄ = 3.15
standard deviation,
σ = 0.28
Significance level,
α =1- 0.8
= 0.2
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