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=64 hours with a standard deviation of s=5.4  hours.  You would like to estimate the mean lifespan for this species of bacteria to within a margin of error of 0.5 hours at a 99% level of confidence. What sample size should you gather to achieve a 0.5 hour margin of error?

MATLAB: An Introduction with Applications
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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=64 hours with a standard deviation of s=5.4  hours.  You would like to estimate the mean lifespan for this species of bacteria to within a margin of error of 0.5 hours at a 99% level of confidence.

What sample size should you gather to achieve a 0.5 hour margin of error? 

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