Data on salaries in the public school system are published annually by a teacher

Question

Data on salaries in the public school system are published annually by a teachers' association. The mean annual salary of (public) classroom teachers is $52.6 thousand. Assume a standard deviation of $7.2 thousand. Complete parts (a) through (e) below. a. Determine the sampling distribution of the sample mean for samples of size 64. The mean of the sample mean is -S 52600 . (Type an integer or a decimal. Do not round.) The standard deviation of the sample mean is x = $ 900 . (Type an integer or a decimal. Do not round.) b. Determine the sampling distribution of the sample mean for samples of size 256. The mean of the sample mean is -S | . (Type an integer or a decimal. Do not round.)

Explanation / Answer

The sampling distrbitution is normally distributed with mean=u(mean of population) and std dev=s/sqrt(n) where s is the std dev of the population.

Thus a) Mean=52600 Standard dev=7200/sqrt(64)=900

b) Mean =52600 and Std dev=7200/sqrt(256)=7200/16=900/2=450

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