Answered: You are a researcher studying the…

Name: You are a researcher studying the lifespan of a certain species of bac
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Description: You are a researcher studying the lifespan of a certain species of bacteria. A preliminary sample of 40 bacteria reveals a sample mean of ¯x=64x¯=64 hours with a standard deviation of s=5s=5 hours. You would like to estimate the mean lifespan for

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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You are a researcher studying the lifespan of a certain species of bacteria. A preliminary sample of 40 bacteria reveals a sample mean of ¯x=64x¯=64 hours with a standard deviation of s=5s=5 hours. You would like to estimate the mean lifespan for this species of bacteria to within a margin of error of 0.8 hours at a 99% level of confidence. (Hint: Use your s as a reasonable estimate for σσ .)

What sample size should you gather to achieve a 0.8 hour margin of error? Round your answer up to the nearest whole number.

n = bacteria

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