Question

pnfidence intervals (Sample Size) Edward Simmons Messages Due Mon 11/18/2019 6:00 am You are a researcher studying the lifespan of a certain species of bacteria. A preliminary sample of 25 bacteria reveals a sample mean of - 70 hours with a standard deviation of s = 5.8 hours. You would like to estimate the mean lifespan for this species of bacteria to within a margin of error of 0.8 hours at a 95% level of confidence. What sample size should you gather to achieve a 0.8 hour margin of error? Round your answer up to the nearest whole number. n= bacteria Get help: Video License Points possible: 1 Unlimited attempts. Message instructor about this question Submit

Answer 1

Solution :

Given that,

Z_$\alpha$/2 = 1.96

sample size = n = [Z_$\alpha$/2* s / E] ²

n = [1.96 * 5.8 / 0.8]²

n = 202

Sample size = n = 202 bacteria