| Two researchers plan to construct a 99% confidence interval for the mean  of a Normal population with (known) standard deviation . Researcher A will use a random sample of 50 individuals. Researcher B will use a random sample of 800 individuals. Then the margin of error for Researcher A\'s estimate is _____ times that of Researcher B\'s estimate. | 
  |  |    |  | 2 |   |  | 4 |   |  | 16 |   |  | None of the above. A larger sample size will decrease the margin of error. |  | 
  
       | Two researchers plan to construct a 99% confidence interval for  the mean  of a Normal population with (known) standard deviation  . Researcher A will use a random sample of 50 individuals.  Researcher B will use a random sample of 800 individuals. Then the  margin of error for Researcher A\'s estimate is _____ times that of  Researcher B\'s estimate. | 
    |  |       |  | 2 |    |  | 4 |    |  | 16 |    |  | None of the above. A larger sample size will decrease the  margin of error. |  | 
    
Margin of error is proportional to 1/ square root(n), thus MoE of (A) is: sqrt(800/50) = 4 times (B)