Scores for a common standardized college aptitude test are normally distributed with a mean of 500 and a standard deviation of 99. Randomly selected men are given a Test Prepartion 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 556.1. P( xx > 556.1) = Enter your answer as a number accurate to 4 decimal places. NOTE: Answers obtained using exact z-scores or z-scores rounded to 3 decimal places are accepted. If 7 of the men are randomly selected, find the probability that their mean score is at least 556.1. P( ¯xx¯ > 556.1) = Enter your answer as a number accurate to 4 decimal places. NOTE: Answers obtained using exact z-scores or z-scores rounded to 3 decimal places are accepted.
Scores for a common standardized college aptitude test are
If 1 of the men is randomly selected, find the
P( xx > 556.1) =
Enter your answer as a number accurate to 4 decimal places. NOTE: Answers obtained using exact z-scores or z-scores rounded to 3 decimal places are accepted.
If 7 of the men are randomly selected, find the probability that their mean score is at least 556.1.
P( ¯xx¯ > 556.1) =
Enter your answer as a number accurate to 4 decimal places. NOTE: Answers obtained using exact z-scores or z-scores rounded to 3 decimal places are accepted.
If the random sample of 7 men does result in a mean score of 556.1, is there strong evidence to support the claim that the course is actually effective?
- Yes. The probability indicates that it is unlikely that by chance, a randomly selected group of students would get a mean as high as 556.1.
- No. The probability indicates that it is possible by chance alone to randomly select a group of students with a mean as high as 556.1.
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