Scores for a common standardized college aptitude test arenormally distributed with a mean of 500 and a standard deviationof 96. Randomly selected students are given a Test PreparationCourse before taking this test. Assume, for sake of argument, thatthe preparation course has no effect.If 1 student is randomly selected, find the probability that theirscore is at least 550.6.P(X> 550.6) =Enter your answer as a number accurate to 3 decimal places.If 13 students are randomly selected, find the probability thattheir mean score is at least 550.6.P(X > 550.6) =Enter your answer as a number accurate to 3 decimal places.Assume that any probability less than 5% is sufficient evidence toconclude that the preparation course does help students performbetter on the test. If the random sample of 13 students does resulin a mean score of 550.6, is there strong evidence to support theclaim that the course is actually effective?Yes. The probability indicates that it is (highly?) unlikelythat by chance, a randomly selected group of studentswould get a mean as high as 550.6.No. The probability indicates that it is possible by chancealone to randomly select a group of students with a mean ashigh as 550.6.

given data normal distriobutionμ = 500σ = 96n = 13

Answered: Scores for a common standardized…

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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