Welcome to Westonci.ca, the Q&A platform where your questions are met with detailed answers from experienced experts. Our platform provides a seamless experience for finding reliable answers from a network of experienced professionals. Experience the convenience of finding accurate answers to your questions from knowledgeable experts on our platform.
Sagot :
Answer:
Due to the higher Z-score, Kamala had the best GPA when compared to other students at her school.
Step-by-step explanation:
Z-score:
In a set with mean [tex]\mu[/tex] and standard deviation [tex]\sigma[/tex], the z-score of a measure X is given by:
[tex]Z = \frac{X - \mu}{\sigma}[/tex]
The Z-score measures how many standard deviations the measure is from the mean. After finding the Z-score, we look at the z-score table and find the p-value associated with this z-score. This p-value is the probability that the value of the measure is smaller than X, that is, the percentile of X. Subtracting 1 by the p-value, we get the probability that the value of the measure is greater than X.
In this question:
Whichever student's GPA had the higher z-score had the best GPA compared to other students.
Thuy 2.5 3.2 0.8
This means that [tex]X = 2.5, \mu = 3.2, \sigma = 0.8[/tex]
The z-score is:
[tex]Z = \frac{X - \mu}{\sigma}[/tex]
[tex]Z = \frac{2.5 - 3.2}{0.8}[/tex]
[tex]Z = -0.875[/tex]
Vichet 88 75 20
This means that [tex]X = 88, \mu = 75, \sigma = 20[/tex]
The z-score is:
[tex]Z = \frac{X - \mu}{\sigma}[/tex]
[tex]Z = \frac{88 - 75}{20}[/tex]
[tex]Z = 0.65[/tex]
Kamala 8.9 8 0.4
This means that [tex]X = 8.9, \mu = 8, \sigma = 0.4[/tex]
The z-score is:
[tex]Z = \frac{X - \mu}{\sigma}[/tex]
[tex]Z = \frac{8.9 - 8}{0.4}[/tex]
[tex]Z = 2.25[/tex]
Due to the higher Z-score, Kamala had the best GPA when compared to other students at her school.
Thank you for visiting. Our goal is to provide the most accurate answers for all your informational needs. Come back soon. Thank you for choosing our platform. We're dedicated to providing the best answers for all your questions. Visit us again. Stay curious and keep coming back to Westonci.ca for answers to all your burning questions.
