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

Respuesta :

Answer:

Option a is right

Step-by-step 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 = [tex]\sqrt{4252} \\=65.21[/tex]

Score of student selected at random X=1700

Corresponding Z score = [tex]\frac{1700-2573}{65.201} \\=-13.38[/tex]

Rounding of we get Z score = -13.4

option a is right

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