Question

college and university debt a student graduated from a 4-year college with an outstanding loan of $10,221, where the average debt is $8469 with a standard deviation of $1859. another student graduated from a university with an outstanding loan of $11,578, where the average of the outstanding loans was $10,385 with a standard deviation of $2122.
part: 0 / 2
part 1 of 2
find the corresponding z score for each student. round z scores to two decimal places.
college student: z =
university student: z =

Explanation:

Step1: Recall z-score formula

The z-score formula is $z = \frac{x - \mu}{\sigma}$, where $x$ is the value, $\mu$ is the mean, and $\sigma$ is the standard deviation.

Step2: Calculate college student's z-score

Given $x = 10221$, $\mu = 8469$, $\sigma = 1859$.
$z = \frac{10221 - 8469}{1859} = \frac{1752}{1859} \approx 0.94$

Step3: Calculate university student's z-score

Given $x = 11578$, $\mu = 10385$, $\sigma = 2122$.
$z = \frac{11578 - 10385}{2122} = \frac{1193}{2122} \approx 0.56$

Answer:

College student: 0.94
University student: 0.56