Question

college and university debt a student graduated from a 4 - year college with an outstanding loan of $10,353, where the average debt is $8525 with a standard deviation of $1877. another student graduated from a university with an outstanding loan of $12,186, where the average of the outstanding loans was $10,323 with a standard deviation of $2156. 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 data point, $\mu$ is the mean, and $\sigma$ is the standard deviation.

Step2: Calculate z - score for college student

For the college student, $x = 10353$, $\mu=8525$, and $\sigma = 1877$.
$z_{college}=\frac{10353 - 8525}{1877}=\frac{1828}{1877}\approx0.97$

Step3: Calculate z - score for university student

For the university student, $x = 12186$, $\mu = 10323$, and $\sigma=2156$.
$z_{university}=\frac{12186 - 10323}{2156}=\frac{1863}{2156}\approx0.86$

Answer:

College student: $0.97$
University student: $0.86$