Scores for a common standardized college aptitude test are normally distributed with a mean of 515 and a standard deviation of 104. Randomly selected men are given a Test Prepartion Course before taking this test. Assume, for sake of argument, that the test has no effect. 1) If 1 of the men is randomly selected, find the probability that his score is at least 548.4. Enter your answer as a number accurate to 4 decimal places. 2) If 35 of the men are randomly selected, find the probability that their mean score is at least 548.4. Enter your answer as a number accurate to 4 decimal places. 3) If the random sample of 35 men does result in a mean score of 548.4, is there strong evidence to support the claim that the course is actually effective? Yes. The probability indicates that it is highly unlikely (less than a 5% chance) that a randomly selected group of students would get a mean as high as 548.4. No. The probability indicates that it is possible (greater than a 5% chance) that a group of students would get a mean as high as 548.4.
Scores for a common standardized college aptitude test are normally distributed with a mean of 515 and a standard deviation of 104. Randomly selected men are given a Test Prepartion Course before taking this test. Assume, for sake of argument, that the test has no effect. 1) If 1 of the men is randomly selected, find the probability that his score is at least 548.4. Enter your answer as a number accurate to 4 decimal places. 2) If 35 of the men are randomly selected, find the probability that their mean score is at least 548.4. Enter your answer as a number accurate to 4 decimal places. 3) If the random sample of 35 men does result in a mean score of 548.4, is there strong evidence to support the claim that the course is actually effective? Yes. The probability indicates that it is highly unlikely (less than a 5% chance) that a randomly selected group of students would get a mean as high as 548.4. No. The probability indicates that it is possible (greater than a 5% chance) that a group of students would get a mean as high as 548.4.
A First Course in Probability (10th Edition)
10th Edition
ISBN:9780134753119
Author:Sheldon Ross
Publisher:Sheldon Ross
Chapter1: Combinatorial Analysis
Section: Chapter Questions
Problem 1.1P: a. How many different 7-place license plates are possible if the first 2 places are for letters and...
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Scores for a common standardized college aptitude test are
1) If 1 of the men is randomly selected, find the
Enter your answer as a number accurate to 4 decimal places.
2) If 35 of the men are randomly selected, find the probability that their mean score is at least 548.4.
Enter your answer as a number accurate to 4 decimal places.
3) If the random sample of 35 men does result in a mean score of 548.4, is there strong evidence to support the claim that the course is actually effective?
- Yes. The probability indicates that it is highly unlikely (less than a 5% chance) that a randomly selected group of students would get a mean as high as 548.4.
- No. The probability indicates that it is possible (greater than a 5% chance) that a group of students would get a mean as high as 548.4.
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