You are a researcher studying the lifespan of a certain species of bacteria. A preliminary sample of 25 bacteria reveals a sample mean of
¯x=64 hours with a standard deviation of s=4.2 hours. You would like to estimate the mean lifespan for this species of bacteria to within a margin of error of 0.6 hours at a 95% level of confidence.
What sample size should you gather to achieve a 0.6 hour margin of error? Round your answer up to the nearest whole number.
n = bacteria