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=74x¯=74 hours with a standard deviation of s=4.4s=4.4...

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=74x¯=74 hours with a standard deviation of s=4.4s=4.4  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 98% level of confidence.

What sample size should you gather to achieve a 0.6 hour margin of error? Round your answerup
to the nearest whole number.