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=70x=70hours with a standard deviation of s=5.6s=5.6 hours. You would like to estimate the mean lifespan for this species of bacteriato within a margin of error of 0.4 hours at a 98% level of confidence.

What sample size should you gather to achieve a 0.4 hour margin of error? Round your answerup to the nearest whole number.

n = bacteria