The SAT Verbal Test in recent years followed approximately a normal distribution with a mean of 460 and a standard deviation of 110. The scores on the ACT English Test follow approximately a normal distribution with a mean of 17 and a standard deviation of 2.5. a. Fill out the following curves for each distribution. Be sure to label your set of numbers which is for which exam. You can give your answers as a list of values. Explain your values. a a b. What is the probability that a randomly selected student scored less than a 14.5 on the ACT English Test? Explain. c. What is the probability that a randomly selected student scored more than a 650 on the SAT Verbal Test? Explain.
The SAT Verbal Test in recent years followed approximately a normal distribution with a mean of 460 and a standard deviation of 110. The scores on the ACT English Test follow approximately a normal distribution with a mean of 17 and a standard deviation of 2.5. a. Fill out the following curves for each distribution. Be sure to label your set of numbers which is for which exam. You can give your answers as a list of values. Explain your values. a a b. What is the probability that a randomly selected student scored less than a 14.5 on the ACT English Test? Explain. c. What is the probability that a randomly selected student scored more than a 650 on the SAT Verbal Test? Explain.
A First Course in Probability (10th Edition)
10th Edition
ISBN:9780134753119
Author:Sheldon Ross
Publisher:Sheldon Ross
Chapter1: Combinatorial Analysis
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Transcribed Image Text:The SAT Verbal Test in recent years followed approximately a normal distribution
with a mean of 460 and a standard deviation of 110. The scores on the ACT English
Test follow approximately a normal distribution with a mean of 17 and a standard
deviation of 2.5.
a. Fill out the following curves for each distribution. Be sure to label your set of
numbers which is for which exam. You can give your answers as a list of values.
Explain your values.
b. What is the probability that a randomly selected student scored less than a 14.5
on the ACT English Test? Explain.
c. What is the probability that a randomly selected student scored more than a 650
on the SAT Verbal Test? Explain.
d. What is the probability that a randomly selected student scored between a 13 and
a 20 on the ACT English Test? Explain.
e. Joey took the SAT Verbal Test and made a score of 550. Sarah took the ACT
English Test and made a score of 18. Find the z-score for each student to determine
who made the better score. Explain.
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