An online SAT Test Prep company offers two packages to use their services: the Standard package, which they claim will improve a student's SAT score by an average of 40 points, and a Premium package, which they claim will improve a student's score by 75 points on average. Thirty students will test out the standard package, and 15 students will test out the more expensive premium package. Assuming a normal distribution with a variance of 1600 for the grade improvement of each package, determine the following:1. The probability that the average SAT improvement of the students using the premium package will be less than the average SAT improvement of students using the standard package.2. The probability that the average SAT improvement of the students using the premium package will be at least double the average SAT improvement of students using the standard package.3. Suppose the company is lying and that the premium package actually has the same improvement as the standard package. What would be the probability that the average SAT improvement of the students using the premium package is higher than the average SAT improvement of students using the standard package?

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Answered: An online SAT Test Prep company offers…

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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