On a scale of 0 to 10, a college student rated her enjoyment of statistics as a 7. The average rating among college students is 5 and the average spread around that mean is 1.5. The z-score for the raw student's score of 7 is 1.33. What percentage of students enjoy statistics more than her and what percentage of students enjoy statistics less than her? Show the steps needed to get this answer.
On a scale of 0 to 10, a college student rated her enjoyment of statistics as a 7. The average rating among college students is 5 and the average spread around that mean is 1.5. The z-score for the raw student's score of 7 is 1.33. What percentage of students enjoy statistics more than her and what percentage of students enjoy statistics less than her? Show the steps needed to get this answer.
Glencoe Algebra 1, Student Edition, 9780079039897, 0079039898, 2018
18th Edition
ISBN:9780079039897
Author:Carter
Publisher:Carter
Chapter4: Equations Of Linear Functions
Section4.5: Correlation And Causation
Problem 2AGP
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- On a scale of 0 to 10, a college student rated her enjoyment of statistics as a 7. The average rating among college students is 5 and the average spread around that mean is 1.5. The z-score for the raw student's score of 7 is 1.33. What percentage of students enjoy statistics more than her and what percentage of students enjoy statistics less than her? Show the steps needed to get this answer.
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Step 1
Let a collage student rated her enjoyment of statistics as a .
The average rating among college students is i.e. .
The average spread around that mean is i.e. .
The z-score for the raw student's score of is i.e. .
We know that the z-score or standard normal variate follows normal distribution.
i.e.
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