Question

If the manager of a bottled water distributor wants to​ estimate, with 99​% ​confidence, the mean amount of water in a​ 1-gallon bottle to within

± 0.005 gallons and also assumes that the standard deviation is 0.04 ​gallons, what sample size is​ needed?

n =______

​(Round up to the nearest​ integer.) 

Answer 1

We have given here,              
              
Population standard deviation =0.04
Margin of error =E=0.005
Level of significance =1-0.99=0.01
Z critical value is (by using Z table)=2.58
Sample size formula is               


=424.63