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Suppose the ages of students in a graduate program follow a right skewed distribution with a mean of 25 years and a standard deviation of 3 years. If we randomly sampled 100 students, which of the following statements about the sampling distribution of the sample mean age is incorrect?

  1. The shape of the sampling distribution is approximately normal.
  2. The standard error of the sampling distribution is equal to 0.3 years.
  3. The mean of the sampling distribution is equal to 25 years.
  4. The standard deviation of the sampling distribution is equal to 3 years.

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