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

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

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