Answered: The Scholastic Aptitude Test (SAT) is a…

MATLAB: An Introduction with Applications

6th Edition

ISBN:9781119256830

Author:Amos Gilat

Publisher:Amos Gilat

Chapter1: Starting With Matlab

Section: Chapter Questions

Problem 1P

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Question

The Scholastic Aptitude Test (SAT) is a standardized test for college admissions in the U.S. Scores on the SAT can range from 600 to 2400. Suppose that PrepIt! is a company that offers classes to help students prepare for the SAT exam. In their ad, PrepIt! claims to produce “statistically significant” increases in SAT scores. This claim comes from a study in which 427 PrepIt! students took the SAT before and after PrepIt! classes. These students are compared to 2,733 students who took the SAT twice, without any type of formal preparation between tries.

Let’s first try to determine if students who take PrepIt! classes significantly improve their SAT scores. Which of the following is the best approach to answering this question?

Use the sample mean 29 in a hypothesis test for a population mean.
Use the difference in sample means (500 – 529) in a hypothesis test for a difference in two population means.
Use the difference in sample means (29 and 21) in a hypothesis test for a difference in two population means.

SAT 1ª Try
SAT 2nd Try
Improvement
Mean
Mean
Standard
Mean
Standard
Standard
deviation
deviation
deviation
Preplt!
500
92
529
97
29
59
(n = 427)
Control
506
101
527
101
21
52
(n = 2733)
%3D

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