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Chapter 6: Q. 49 (page 389)

El Dorado Community College has a main campus in the suburbs and a downtown campus. The amount X spent on tuition by a randomly selected student at the main campus has mean 732.50 and standard deviation 103. The amount Y spent on tuition by a randomly selected student at the downtown campus has mean 825 and standard deviation 126.50. Suppose we randomly select one full-time student from each of the two campuses. Calculate and interpret the mean of the sumS=X+Y.

Short Answer

Expert verified

The Average mean of the main campus and downtown campus is15570.50

Step by step solution

01

Given information

The main campus mean 732.50, standard deviation 103

The downtown campus mean 825,standard deviation 126.50

渭X=732.50蟽X=103渭Y=825蟽Y=126.50

X = Amount spent on tuition by students on the main campus who were chosen at random.

Y= Amount spent on tuition by students on the downtown campus who were chosen at random.

02

Calculations

渭=渭X+渭Y=732.50+825=1557.50

There are two mean of two unique irregular factors 渭X=732.50 and 渭Y=825 so the mean of the two arbitrary variable will be the amount of their means. The aggregate sum spent on both the principal grounds and downtown grounds will be normal15570.50

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