Question

As part of a research project on student debt at TWU, a researcher interviewed a sample of 35 students that were chosen at random concerning their monthly credit card balance. On average, these students had a balance of $2,573. The range of the data ran from a high of $22,315 to a low of $0. The median (Md) was $2,455 and the variance was $4,252. If a student selected at random had a credit card balance of $1,700; then he would have a Z Score of___________.

a. -13.4.
b. -9.73
c. 0.4
d. 9.73

Answer 1

Option a is right

Explanation:

Given that as part of a research project on student debt at TWU, a researcher interviewed a sample of 35 students that were chosen at random concerning their monthly credit card balance.

Sample average = 2573

Variance = 4252

Sample size = 35

STd deviation of X =
`√(4252) \\=65.21`

Score of student selected at random X=1700

Corresponding Z score =
`(1700-2573)/(65.201) \\=-13.38`

Rounding of we get Z score = -13.4

option a is right