(Solved): You are a researcher studying the lifespan of a certain species of bacteria. From a previous study ...

You are a researcher studying the lifespan of a certain species of bacteria. From a previous study of the bacteria revealed a standard deviation of $?=4$ hours. You would like to estimate the mean lifespan for this species of bacteria to be within a margin of error of 0.45 hours at a $98\%$ level of confidence. What is minimum sample size should you gather to achieve a 0.45 hour margin of error? (If your answer is not a whole number, then increase answer up to next whole number.) $n=$ bacteria