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=68x¯=68 hours with a standard deviation of s=6.2s=6.2 hours. You would like to estimate the mean lifespan for this species of bacteria to within a margin of error of 0.65 hours at a 98% level of confidence.
What sample size should you gather to achieve a 0.65 hour margin of error? Round your answerup to the nearest whole number.
n = bacteria
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