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Scores for a common standardized college aptitude test are normally distributed with a mean of 500 and a standard deviation of 96. 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 550.6. P(X> 550.6) = Enter your answer as a number accurate to 3 decimal places. If 13 students are randomly selected, find the probability that their me score is at least 550.6. P(X> 550.6) = Enter your answer as a number accurate to 3 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 13 students does resul 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 chance, a randomly selected group of students would get a mean as high as 550.6. No. The probability indicates that it is possible by chance alone to randomly select a group of students with a mean as high as 550.6.

Scores for a common standardized college aptitude test are normally distributed with a mean of 500 and a standard deviation of 96. 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 550.6. P(X> 550.6) = Enter your answer as a number accurate to 3 decimal places. If 13 students are randomly selected, find the probability that their me score is at least 550.6. P(X> 550.6) = Enter your answer as a number accurate to 3 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 13 students does resul 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 chance, a randomly selected group of students would get a mean as high as 550.6. No. The probability indicates that it is possible by chance alone to randomly select a group of students with a mean as high as 550.6.

Glencoe Algebra 1, Student Edition, 9780079039897, 0079039898, 2018
Glencoe Algebra 1, Student Edition, 9780079039897, 0079039898, 2018
18th Edition
ISBN:9780079039897
Author:Carter
Publisher:Carter
Chapter10: Statistics
Section10.5: Comparing Sets Of Data
Problem 13PPS
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Scores for a common standardized college aptitude test are normally distributed with a mean of 500 and a standard deviation of 96. 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 550.6. P(X> 550.6) = Enter your answer as a number accurate to 3 decimal places. If 13 students are randomly selected, find the probability that their mean score is at least 550.6. P(X > 550.6) = Enter your answer as a number accurate to 3 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 13 students does resul 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 possible by chance alone to randomly select a group of students with a mean as high as 550.6.
Transcribed Image Text:Scores for a common standardized college aptitude test are normally distributed with a mean of 500 and a standard deviation of 96. 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 550.6. P(X> 550.6) = Enter your answer as a number accurate to 3 decimal places. If 13 students are randomly selected, find the probability that their mean score is at least 550.6. P(X > 550.6) = Enter your answer as a number accurate to 3 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 13 students does resul 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 possible by chance alone to randomly select a group of students with a mean as high as 550.6.
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