Based on what you have studied in this unit, reflect and answer the following questions: What are the main characteristics of the normal distribution? Why is it advantageous to use the Z scores? For a standard normal distribution, about 68% of values falls within one standard deviation of the mean; about 95% falls within two standard deviations; and about 99.7% falls within three standard deviations. Suppose the distribution of math scores in the SAT follow a normal distribution with a mean µ=700 and a standard deviation σ=150. Calculate the Z-score for an SAT Math score of 600. Interpret it in your own word. Find the interval [a, b] that captures 68% of the SAT Math score in this example. Find the interval [a, b] that captures 95% of the SAT Math score in this example. Find the interval [a, b] that captures 99.7% of the SAT Math score in this example.
Based on what you have studied in this unit, reflect and answer the following questions: What are the main characteristics of the normal distribution? Why is it advantageous to use the Z scores? For a standard normal distribution, about 68% of values falls within one standard deviation of the mean; about 95% falls within two standard deviations; and about 99.7% falls within three standard deviations. Suppose the distribution of math scores in the SAT follow a normal distribution with a mean µ=700 and a standard deviation σ=150. Calculate the Z-score for an SAT Math score of 600. Interpret it in your own word. Find the interval [a, b] that captures 68% of the SAT Math score in this example. Find the interval [a, b] that captures 95% of the SAT Math score in this example. Find the interval [a, b] that captures 99.7% of the SAT Math score in this example.
Glencoe Algebra 1, Student Edition, 9780079039897, 0079039898, 2018
18th Edition
ISBN:9780079039897
Author:Carter
Publisher:Carter
Chapter10: Statistics
Section: Chapter Questions
Problem 22SGR
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Based on what you have studied in this unit, reflect and answer the following questions:
- What are the main characteristics of the
normal distribution ? - Why is it advantageous to use the Z scores?
For a standard normal distribution, about 68% of values falls within one standard deviation of the
- Calculate the Z-score for an SAT Math score of 600. Interpret it in your own word.
- Find the interval [a, b] that captures 68% of the SAT Math score in this example.
- Find the interval [a, b] that captures 95% of the SAT Math score in this example.
- Find the interval [a, b] that captures 99.7% of the SAT Math score in this example.
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