Use the information on the right to determine which students will have positive z-scores.
Answers
Given : Mean time = 70 minutes
Standard deviation = 10 minutes
To Find : which students will have positive z-scores.
A) Aaliyah, who completed the exam in 55 minutes
B) Benjamin, who completed the exam in 86 minutes
C) Cynthia, who completed the exam in 72 minutes
Solution:
Z score = ( Value - mean) / SD
Mean = 70
SD = 10
Aaliyah score = 55
Aaliyah z score = ( 55 - 70)/10 = - 1.5 negative z score
Benjamin score = 86
Benjamin Z score = ( 86 - 70)/10 = 1.6 positive z score
Cynthia score = 72
Cynthia Z score = ( 72 - 70)/10 = 0.2 positive z score
Hence Benjamin and Cynthia will have positive z-scores.
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