Answered: Suppose you had a sample size of 41 and…

Suppose you had a sample size of 41 and the population distribution was normal. Which approach would be better for finding a confidence interval for the population mean?

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

Question 10: suppose you had a sample size of 41 and the population distribution was normal..

Suppose you had a sample size of 41 and the population
distribution was normal. Which approach would be better for
finding a confidence interval for the population mean?
Using the Central Limit Theorem since we have a large sample size
and would get an interval with smaller width.
t distribution since the population is normal and we would get an
interval with wider width.

Definition Definition Number of subjects or observations included in a study. A large sample size typically provides more reliable results and better representation of the population. As sample size and width of confidence interval are inversely related, if the sample size is increased, the width of the confidence interval decreases.

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