Concept explainers
Stats test The mean score on the Stats exam was 75 points with a standard deviation of 5 points, and Gregor’s z-score was –2. How many points did he score?
Find the number of points scored by Gregor.
Answer to Problem 1E
The number of points scored by Gregor is 65.
Explanation of Solution
Given info:
In a Stats exam, the mean score is 75 points and the standard deviation of score is 5 points. The z-score of Gregor is –2.
Justification:
The z-score of a variable X taking value x is,
Where
From the above equation, the number of points scored by Gregor can be obtained as follows:
Substitute
Thus, the number of points scored by Gregor is 65.
Want to see more full solutions like this?
Chapter 5 Solutions
Student's Solutions Manual For Intro Stats
Additional Math Textbook Solutions
Developmental Mathematics (9th Edition)
Statistics for Engineers and Scientists
Statistical Techniques in Business and Economics
Elementary Statistics Using the TI-83/84 Plus Calculator, Books a la Carte Edition (4th Edition)
Statistics for Psychology
Basic Business Statistics, Student Value Edition (13th Edition)
- Glencoe Algebra 1, Student Edition, 9780079039897...AlgebraISBN:9780079039897Author:CarterPublisher:McGraw HillBig Ideas Math A Bridge To Success Algebra 1: Stu...AlgebraISBN:9781680331141Author:HOUGHTON MIFFLIN HARCOURTPublisher:Houghton Mifflin Harcourt