You are a researcher studying the lifespan of a certain species of bacteria. A preliminary sample of 35 bacteria reveals a sample mean of ¯x=66x¯=66 hours with a standard deviation of s=5.4s=5.4...

You are a researcher studying the lifespan of a certain species of bacteria.  A preliminary sample of 35 bacteria reveals a sample mean of ¯x=66x¯=66 hours with a standard deviation of s=5.4s=5.4  hours.  You would like to estimate the mean lifespan for this species of bacteria to within a margin of error of 0.45 hours at a 95% level of confidence.

What sample size should you gather to achieve a 0.45 hour margin of error? Round your answerup to the nearest whole number.

n =   bacteria