MATLAB: An Introduction with Applications
MATLAB: An Introduction with Applications
6th Edition
ISBN: 9781119256830
Author: Amos Gilat
Publisher: John Wiley & Sons Inc
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Scores for a common standardized college aptitude test are normally distributed with a mean of 489 and a standard deviation of 106. Randomly selected men are given a Test Preparation Course before taking this test. Assume, for sake of argument, that the preparation course has no effect.

If 1 of the men is randomly selected, find the probability that his score is at least 550.6.
P(X > 550.6) = 
Enter your answer as a number accurate to 4 decimal places.

If 5 of the men are randomly selected, find the probability that their mean score is at least 550.6.
P(M > 550.6) = 
Enter your answer as a number accurate to 4 decimal places.

Assume that any probability less than 5% is sufficient evidence to conclude that the preparation course does help men do better. If the random sample of 5 men does result in a mean score of 550.6, is there strong evidence to support the claim that the course is actually effective?

  • Yes. The probability indicates that it is (highly ?) unlikely that by chance, a randomly selected group of students would get a mean as high as 550.6.
  • No. The probability indicates that it is too possible by chance alone to randomly select a group of students with a mean as high as 550.6.
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