Question

Trade​ associations, such as a dairy​ association, frequently conduct surveys to identify characteristics of their membership. If this organization conducted a survey to estimate the annual per capita consumption of milk and wanted to be 99% confident that the estimate was no more than 0.82 gallon away from the actual​ average, what sample size is​ needed? Past data have indicated that the standard deviation of consumption is approximately 2 gallons.

The sample size required is

Answer 1

solution - Given that! margin of errorf = 0.82 Standard deviation =6=2 At 99% confidence level the ais, 2:1-999% 2 = -0.99 = 0.01 4 = o.oos 242 = 20.oos = 2.576. sampal sizena (242 x 6² n =(2.5.1642) n = 39.48 sampal size = n = 40