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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 108. A random sample...

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 108. A random sample of 36 men is selected.

  1. identify the mean and standard error of their sample mean score
  2. what is the probability that their sample mean score is greater than 540?
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