(Step-by-Step) (6-5) Scores for men on the verbal portion of the SAT-I test are normally distributed with a mean of 509 and a standard deviation of 112.
Question: (6-5) Scores for men on the verbal portion of the SAT-I test are normally distributed with a mean of 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.
- If 1 of the men is randomly selected, find the probability his score is at least 590.
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If 16 of the men are randomly selected, find the probability that their mean score is at
least 590. - In finding the probability for (b), why can the Central Limit Theorem be used even though the sample size does not exceed 30?
- If the random sample of 16 men does result in a mean score of 590, is there strong
evidence to support the claim that the course is actually effective? Why or why not?
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