Answered: Suppose a certain species of bird has…

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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Question

Suppose a certain species of bird has an average weight of sample mean= 3.60 grams. Based on previous studies, we can assume that the weights of these birds have a normal distribution with σ=0.36 grams. Find the sample size necessary for a 95% confidence level with a maximal error of estimate E = 0.18 for the mean weights of the hummingbirds

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Step 1

We know that the margin of error for a $(1 - α) %$ confidence interval with known standard deviation is given by;

$E = z_{\frac{α}{2}} \times \frac{σ}{\sqrt{n}}$

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