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 college students nationwide is 50 gallons (µ = 50) with a standard deviation of 3.5 gallons (σ = 3.5).A new committee, the Soda Committee, is being formed. It wants to give each student a coupon for the average amount of soda that they will consume over the coming year. To help out the committee, please provide them with a 95% Confidence Interval for the mean of the 50 students (n = 50). Note: x (with a line on top)= 48.7 and (σ = 3.5).

Answer 1

95% confidence interval for is

- z * / sqrt(n) < < + z * / sqrt(n)

48.7 - 1.96 * 3.5 / sqrt(50) < < 48.7 + 1.96 * 3.5 / sqrt(50)

47.73 < < 49.67

95% CI is ( 47.73 , 49.67 )