The distribution of scores on the SAT is approximately normal with a mean of μ = 500 and a standard deviation of σ = 100. For the population of students who have taken the SAT, a. What proportion have SAT scores less than 350? b. What proportion have SAT scores greater than 720? c. What is the minimum SAT score needed to be in the highest 25% of the population? d. If the state college only accepts students from the top 44% of the SAT distribution, what is the minimum SAT score needed to be accepted?
The distribution of scores on the SAT is approximately normal with a mean of μ = 500 and a standard deviation of σ = 100. For the population of students who have taken the SAT, a. What proportion have SAT scores less than 350? b. What proportion have SAT scores greater than 720? c. What is the minimum SAT score needed to be in the highest 25% of the population? d. If the state college only accepts students from the top 44% of the SAT distribution, what is the minimum SAT score needed to be accepted?
Glencoe Algebra 1, Student Edition, 9780079039897, 0079039898, 2018
18th Edition
ISBN:9780079039897
Author:Carter
Publisher:Carter
Chapter10: Statistics
Section10.4: Distributions Of Data
Problem 19PFA
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The distribution of scores on the SAT is approximately normal with a mean of μ = 500 and a standard deviation of σ = 100. For the population of students who have taken the SAT,
a. What proportion have SAT scores less than 350?
b. What proportion have SAT scores greater than 720?
c. What is the minimum SAT score needed to be in the highest 25% of the population?
d. If the state college only accepts students from the top 44% of the SAT distribution, what is the minimum SAT score needed to be accepted?
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