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[Solution] Teacher Salaries. Data on salaries in the public school system are published annually in National Survey of Salaries and Wages in Public Schools.

Question: Teacher Salaries. Data on salaries in the public school system are published annually in National Survey of Salaries and Wages in Public Schools. The mean annual salary for classroom teachers is $43,658. Assume a standard deviation of $8000.

  1. Determine the sampling distribution of the sample mean for samples of size 64. Interpret your answer in terms of the distribution of all possible sample mean salaries for samples of 64 teachers.
  2. Repeat part (a) for samples of size 256 .
  3. Do you need to assume that public school teacher salaries are normally distributed to answer parts (a) and (b)? Explain your answer.

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