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Scores for a common standardized college aptitude test are normally distributed with a mean of μ = 492 and a standard deviation of a = 111. Randomly selected men are given a Test Preparation Course before taking this test. Assume, for sake of argument, that the test has no effect. If 1 of the men is randomly selected, find the probability that his score is at least 561.4. P(X> 561.4) = If 16 of the men are randomly selected, find the probability that their mean score is at least 561.4. P(M> 561.4): = If the random sample of 16 men does result in a mean score of 561.4, is there strong evidence to support the claim that the course is actually effective? (We will use a threshold of 0.05 for unusual results.) O No. The probability indicates that is is possible by chance alone to randomly select a group of students with a mean as high as 561.4. Yes. The probability indicates that is is unlikely that by chance, a randomly selected group of students would get a mean as high as 561.4.

Scores for a common standardized college aptitude test are normally distributed with a mean of μ = 492 and a standard deviation of a = 111. Randomly selected men are given a Test Preparation Course before taking this test. Assume, for sake of argument, that the test has no effect. If 1 of the men is randomly selected, find the probability that his score is at least 561.4. P(X> 561.4) = If 16 of the men are randomly selected, find the probability that their mean score is at least 561.4. P(M> 561.4): = If the random sample of 16 men does result in a mean score of 561.4, is there strong evidence to support the claim that the course is actually effective? (We will use a threshold of 0.05 for unusual results.) O No. The probability indicates that is is possible by chance alone to randomly select a group of students with a mean as high as 561.4. Yes. The probability indicates that is is unlikely that by chance, a randomly selected group of students would get a mean as high as 561.4.

MATLAB: An Introduction with Applications
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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Scores for a common standardized college aptitude test are normally distributed with a mean of μ = 492 and a standard deviation of a = 111. Randomly selected men are given a Test Preparation Course before taking this test. Assume, for sake of argument, that the test has no effect. If 1 of the men is randomly selected, find the probability that his score is at least 561.4. P(X> 561.4) = If 16 of the men are randomly selected, find the probability that their mean score is at least 561.4. P(M> 561.4): If the random sample of 16 men does result in a mean score of 561.4, is there strong evidence to support the claim that the course is actually effective? (We will use a threshold of 0.05 for unusual results.) O No. The probability indicates that is is possible by chance alone to randomly select a group of students with a mean as high as 561.4. Yes. The probability indicates that is is unlikely that by chance, a randomly selected group of students would get a mean as high as 561.4. Submit Question I
Transcribed Image Text:Scores for a common standardized college aptitude test are normally distributed with a mean of μ = 492 and a standard deviation of a = 111. Randomly selected men are given a Test Preparation Course before taking this test. Assume, for sake of argument, that the test has no effect. If 1 of the men is randomly selected, find the probability that his score is at least 561.4. P(X> 561.4) = If 16 of the men are randomly selected, find the probability that their mean score is at least 561.4. P(M> 561.4): If the random sample of 16 men does result in a mean score of 561.4, is there strong evidence to support the claim that the course is actually effective? (We will use a threshold of 0.05 for unusual results.) O No. The probability indicates that is is possible by chance alone to randomly select a group of students with a mean as high as 561.4. Yes. The probability indicates that is is unlikely that by chance, a randomly selected group of students would get a mean as high as 561.4. Submit Question I
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