Independent Random Samples Taken on Two University Campuses Revealed the Following

Independent random samples taken on two university campuses revealed the following information concerning the average amount of money spent on textbooks during the fall semester.
$\begin{array}{lcc}&\text { University A }&\text { University B }\\\text { Sample Size } & 50 & 40 \\\text { Average Purchase } & \$ 260 & \$ 250 \\\text { Standard Deviation } \sigma) & \$ 20 & \$ 23\end{array}$
We want to determine if, on the average, students at University A spent more on textbooks then the students at University B.
a. Compute the test statistic.
b. Compute the p-value.
c. What is your conclusion? Let ? = .05.

Correct Answer:

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a. Z = 2.17
b. p-value = 0.015...

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