A college professor determines that students who study an average of 4.34 ± 2.21 (M ± SD) hours per day do generally better on exams. Assuming these data are normally distributed, what is the z-score for students who study 6 hours per day?
A. 0.48
B. 0.55
C. 0.63
D. 0.75
Solution :
mean = = 4.34
standard deviation = = 2.21
X = 6
Using z-score formula,
Z = X - /
Z = 6 - 4.34 / 2.21
= 1.66 / 2.21
= 0.75
The z-score = 0.75
Option D. is correct,
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