a statistics problem I need help with I have the first answer that needs z scores~ any help!
Scores for men on the verbal portion of the SAT test are normally distributed with a mean 509 and a standard deviation of 112. Randomly selected men are given the Columbia Review Course before taking the SAT test. Assume that the course has no effect.
A: If 1 of the men is randomly selected, find the probability that his score is at least 590.
B: If 16 of the men are reandomly selected, find the probability that their mean score is at least 590.
C: In finding the probability for part(B), why can't the central limit theorum be used even though the sample size does not exceed 30?
D: If the random sample of 16 men does result in the mean score of 590, is there strong evidence to support the claim that the course is cactually effective, why or why not?
Thank you so much to anyone who helps. I appreciate it.
Scores for men on the verbal portion of the SAT test are normally distributed with a mean 509 and a standard deviation of 112. Randomly selected men are given the Columbia Review Course before taking the SAT test. Assume that the course has no effect.
A: If 1 of the men is randomly selected, find the probability that his score is at least 590.
B: If 16 of the men are reandomly selected, find the probability that their mean score is at least 590.
C: In finding the probability for part(B), why can't the central limit theorum be used even though the sample size does not exceed 30?
D: If the random sample of 16 men does result in the mean score of 590, is there strong evidence to support the claim that the course is cactually effective, why or why not?
Thank you so much to anyone who helps. I appreciate it.


