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Rudy Researcher (from the first exam) is now interested in the drinking habits o

ID: 2947125 • Letter: R

Question

Rudy Researcher (from the first exam) is now interested in the drinking habits of students at the University of Alabama. It is known that the average yearly consumptions of soft drinks by colege students nationwide is 50 gallons ? . 50 with a standard deviation of 35 gains (a·35) Tomrinize costs, te Committee would like to reduce that 95% oonfidence interval to have a width of 0 5 galons what sample size would they need tocolloct r, order to roduce their error to 0.5(E.0.5)? Show your work so partial credit can be give where applicable.

Explanation / Answer

Solution :

Given that mean ? = 50 , standard deviation ? = 3.5 , E = 0.5

=> For 95% confidence interval , Z = 1.96

=> Sample size n = (Z*?/E)^2

= (1.96*3.5/0.5)^2

= 188