Elementary Statistics: A Step-by-Step Approach with Formula Card 9th Edition

Published by McGraw-Hill Education
ISBN 10: 0078136334
ISBN 13: 978-0-07813-633-7

Chapter 3 - Data Description - 3-3 Measures of Position - Exercises 3-3 - Page 159: 14

Answer

The second student.

Work Step by Step

A student graduated from a 4-year college with an outstanding loan of $9650$ where the average debt is $8455$ with a standard deviation of $1865$. $z1=\frac{9650-8455}{1865}=0.64$ Another student graduated from a university with an outstanding loan of $12,360$ where the average of the outstanding loans was $10,326$ with a standard deviation of $2143$. $z2=\frac{12360-10326}{2143}=0.95$ Since $z2\gt z1$, the second z-score is further away from the mean in the positive direction, and this student had a higher debt in relationship to his or her peers.
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