Scores for a common standardized college aptitude test are normally distributed with a mean of 508 and a standard deviation of 100. Randomly selected students are given a Test Preparation Course before taking this test. Assume, for sake of argument, that the preparation course has no effect. If 1 student is randomly selected, find the probability that their score is at least 596.4. P(X> 596.4) = Enter your answer as a number accurate to 4 decimal places. If 8 students are randomly selected, find the probability that their mean score is at least 596.4. P(X > 596.4) = 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 students perform better on the test. If the random sample of 8 students does result in a mean score of 596.4, 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 596.4. O No. The probability indicates that it is possible by chance alone to randomly select a group of students with a mean as high as 596.4.
Scores for a common standardized college aptitude test are normally distributed with a mean of 508 and a standard deviation of 100. Randomly selected students are given a Test Preparation Course before taking this test. Assume, for sake of argument, that the preparation course has no effect. If 1 student is randomly selected, find the probability that their score is at least 596.4. P(X> 596.4) = Enter your answer as a number accurate to 4 decimal places. If 8 students are randomly selected, find the probability that their mean score is at least 596.4. P(X > 596.4) = 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 students perform better on the test. If the random sample of 8 students does result in a mean score of 596.4, 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 596.4. O No. The probability indicates that it is possible by chance alone to randomly select a group of students with a mean as high as 596.4.
Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
Publisher:Erwin Kreyszig
Chapter2: Second-order Linear Odes
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Transcribed Image Text:Scores for a common standardized college aptitude test are normally distributed with a mean of 508 and a
standard deviation of 100. Randomly selected students are given a Test Preparation Course before taking
this test. Assume, for sake of argument, that the preparation course has no effect.
If 1 student is randomly selected, find the probability that their score is at least 596.4.
P(X> 596.4) =
Enter your answer as a number accurate to 4 decimal places.
If 8 students are randomly selected, find the probability that their mean score is at least 596.4.
P(X> > 596.4) =
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 students perform better on the test. If the random sample of 8 students does result in a mean
score of 596.4, 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 596.4.
O No. The probability indicates that it is possible by chance alone to randomly select a group of
students with a mean as high as 596.4.
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