Question 17 Scores for a common standardized college aptitude test are normally distributed with a mean of 514 and a standard deviation of 115. 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 557.7. P(X > 557.7) = Enter your answer as a number accurate to 4 decimal places. If 20 of the men are randomly selected, find the probability that their mean score is at least 557.7. P(M > 557.7) = 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 20 men does result in a mean score of 557.7, 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 557.7. O 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 557.7. Submit Question

MATLAB: An Introduction with Applications
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ISBN:9781119256830
Author:Amos Gilat
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Question 17
Scores for a common standardized college aptitude test are normally distributed with a mean of 514 and a
standard deviation of 115. 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 557.7.
P(X > 557.7) =
Enter your answer as a number accurate to 4 decimal places.
If 20 of the men are randomly selected, find the probability that their mean score is at least 557.7.
P(M > 557.7) =
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 20 men does result in a mean score of 557.7, is there
strong evidence to support the claim that the course is actually effective?
O 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 557.7.
O 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 557.7.
Submit Question
Transcribed Image Text:Question 17 Scores for a common standardized college aptitude test are normally distributed with a mean of 514 and a standard deviation of 115. 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 557.7. P(X > 557.7) = Enter your answer as a number accurate to 4 decimal places. If 20 of the men are randomly selected, find the probability that their mean score is at least 557.7. P(M > 557.7) = 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 20 men does result in a mean score of 557.7, is there strong evidence to support the claim that the course is actually effective? O 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 557.7. O 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 557.7. Submit Question
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