Data on salaries in the public school system are published annually by a teachers' association. The mean annual salary of (public) classroom teachers is $53.6 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 μ = $. (Type an integer or a decimal. Do not round.) The standard deviation of the sample mean is o=$. (Type an integer or a decimal. Do not round.) b. Determine the sampling distribution of the sample mean for samples of size 256.

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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 $53.6 thousand. Assume a standard deviation of $7.2 thousand. Complete parts (a) through (e) below.
...
b. Determine the sampling distribution of the sample mean for samples of size 256.
The mean of the sample mean is μ = $. (Type an integer or a decimal. Do not round.)
The standard deviation of the sample mean is ox = $
(Type an integer or a decimal. Do not round.)
c. Do you need to assume that classroom teacher salaries are normally distributed to answer parts (a) and (b)? Explain your answer.
Transcribed Image Text:Data on salaries in the public school system are published annually by a teachers' association. The mean annual salary of (public) classroom teachers is $53.6 thousand. Assume a standard deviation of $7.2 thousand. Complete parts (a) through (e) below. ... b. Determine the sampling distribution of the sample mean for samples of size 256. The mean of the sample mean is μ = $. (Type an integer or a decimal. Do not round.) The standard deviation of the sample mean is ox = $ (Type an integer or a decimal. Do not round.) c. Do you need to assume that classroom teacher salaries are normally distributed to answer parts (a) and (b)? Explain your answer.
Data on salaries in the public school system are published annually by a teachers' association. The mean annual salary of (public) classroom
teachers is $53.6 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 μ = $. (Type an integer or a decimal. Do not round.)
The standard deviation of the sample mean is o =$. (Type an integer or a decimal. Do not round.)
b. Determine the sampling distribution of the sample mean for samples of size 256.
Transcribed Image Text:Data on salaries in the public school system are published annually by a teachers' association. The mean annual salary of (public) classroom teachers is $53.6 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 μ = $. (Type an integer or a decimal. Do not round.) The standard deviation of the sample mean is o =$. (Type an integer or a decimal. Do not round.) b. Determine the sampling distribution of the sample mean for samples of size 256.
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