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=70 hours with a standard deviation of s=5 hours.  You would like to estimate the mean lifespan for this species of bacteria to within a margin of error of 0.4 hours at a 90% level of confidence. What sample size should you gather to achieve a 0.4 hour margin of error? Round your answer up to the nearest whole number. n =  ___bacteria

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