Scores for a common standardized college aptitude test are normally distributed with a mean of 480 and a standard deviation of 106. 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 512.8. Р/X> 512.8) %3D Enter your answer as a number accurate to 4 decimal places. If 15 students are randomly selected, find the probability that their mean score is at least 512.8. P(X > 512.8) = 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 15 students does result in a mean score of 512.8, is there strong evidence to support the claim that the course is actually effective? No. The probability indicates that it is possible by chance alone to randomly select a group of students with a mean as high as 512.8. 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 512.8.

Holt Mcdougal Larson Pre-algebra: Student Edition 2012
1st Edition
ISBN:9780547587776
Author:HOLT MCDOUGAL
Publisher:HOLT MCDOUGAL
Chapter11: Data Analysis And Probability
Section: Chapter Questions
Problem 8CR
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Scores for a common standardized college aptitude test are normally distributed with a mean of
480 and a standard deviation of 106. 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 512.8.
Р/X> 512.8) %3D
Enter your answer as a number accurate to 4 decimal places.
If 15 students are randomly selected, find the probability that their mean score is at least 512.8.
P(X > 512.8) =
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 15 students does
result in a mean score of 512.8, is there strong evidence to support the claim that the course is
actually effective?
No. The probability indicates that it is possible by chance alone to randomly select a group
of students with a mean as high as 512.8.
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 512.8.
Transcribed Image Text:Scores for a common standardized college aptitude test are normally distributed with a mean of 480 and a standard deviation of 106. 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 512.8. Р/X> 512.8) %3D Enter your answer as a number accurate to 4 decimal places. If 15 students are randomly selected, find the probability that their mean score is at least 512.8. P(X > 512.8) = 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 15 students does result in a mean score of 512.8, is there strong evidence to support the claim that the course is actually effective? No. The probability indicates that it is possible by chance alone to randomly select a group of students with a mean as high as 512.8. 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 512.8.
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