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college and university debt a student graduated from a 4 - year college…

Question

college and university debt a student graduated from a 4 - year college with an outstanding loan of $9733, where the average debt is $8594 with a standard deviation of $1839. another student graduated from a university with an outstanding loan of $12,228, where the average of the outstanding loans was $10,313 with a standard deviation of $2186.
part 1 of 2
find the corresponding z - score for each student. round z scores to two decimal places.
college student: z = 0.62
university student: z = 0.88
part: 1 / 2
part 2 of 2
which student had a higher debt in relationship to his or her peers?
the select has a higher debt than the select

Explanation:

Step1: Understand z - score concept

The z - score measures how many standard deviations an element is from the mean. A higher z - score indicates a value that is further above the mean relative to its population.

Step2: Compare z - scores

The college student has a z - score of 0.62 and the university student has a z - score of 0.88. Since 0.88>0.62.

Answer:

The university student has a higher debt than the college student.