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Data on salaries in the public school system are published annually by a teachers' association. The mean annual salary of (public) classroom teachers is $

Data on salaries in the public school system are published annually by a teachers' association. The mean annual salary of (public) classroom teachers is $ 53.2 thousand. Assume a standard deviation of

Assume a standard deviation of $8.8 thousand.

..

A. Determine the sampling distribution of the sample mean for samples of size 64

the sample mean is?

the standard deviation of the sample mean is?

B. What is the probability that the sampling error made in estimating the population mean salary of all classroom teachers by the mean salary of a sample of 64 classroom teachers will be at most $1000?

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