Statistics homework help!!!!?

Question

Data on salaries in the public school system are published annually. The mean annual salary for classroom teachers is $43, 658. Assume a standard deviation of $8000.
A) 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.
B) Repeat part A) for samples of size 256.
C) Do you need to assume that public school teacher salaries are normally distributed to answer parts A) and B)? Explain your answer.

Answer 1

You should get lots of responses to your question.
I just wanted to comment on item C).

You need to assume A distribution of salaries in order to respond to A) and B). But that distribution does not have to be the normal distribution. However, the normal distribution is a reasonable assumption here, and the availability of tables (and calculatory functions) for the normal distribution make it a convenient assumption.