Scores for a common standardized college aptitude test are normally distributed with a mean of 488 and a standard deviation of 98. Randomly selected men are given a Test Preparation Course before taking this test. Assume, for sake of argument, that the preparation course has no effect.
If 1 of the men is randomly selected, find the probability that his score is at least 536.9.
P(X > 536.9) =
Enter your answer as a number accurate to 4 decimal places.
If 13 of the men are randomly selected, find the probability that their mean score is at least 536.9.
P(M > 536.9) =
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 13 men does result in a mean score of 536.9, is there strong evidence to support the claim that the course is actually effective?
If 1 of the men is randomly selected, find the probability that his score is at least 536.9.
P(X > 536.9) =
Enter your answer as a number accurate to 4 decimal places.
If 13 of the men are randomly selected, find the probability that their mean score is at least 536.9.
P(M > 536.9) =
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 13 men does result in a mean score of 536.9, is there strong evidence to support the claim that the course is actually effective?