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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