Chapter 17.1, Problem 1AYK

(a)

To determine

To find: The sampling distribution of the mean score $\overline{x}$ of a sample of 250 students if the claim is true.

To Construct: The density curve of the distribution.

(b)

To determine

To Mark: The point on the axis if the sample data gives $\overline{x}=542$.

(c)

To determine

To Mark: The point on the axis if the sample data gives $\overline{x}=532$.

To explain: The reason for the result is good evidence that the mean score of all college seniors in the Philippines interested in pursuing graduate management education who plan to take the GMAT is less than 550, using the sketch with $\overline{x}=532$ and compared with $\overline{x}=542$.