Scores for a common standardized college aptitude test are
If 1 of the men is randomly selected, find the probability that his score is at least 550.6.
P(X > 550.6) =
Enter your answer as a number accurate to 4 decimal places.
If 5 of the men are randomly selected, find the probability that their mean score is at least 550.6.
P(M > 550.6) =
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 men do better. If the random sample of 5 men does result 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 too possible by chance alone to randomly select a group of students with a mean as high as 550.6.
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