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.
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.
Glencoe Algebra 1, Student Edition, 9780079039897, 0079039898, 2018
18th Edition
ISBN:9780079039897
Author:Carter
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Chapter10: Statistics
Section10.4: Distributions Of Data
Problem 19PFA
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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.](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2Fa8af0c69-8d90-40f2-a616-c640b9155ad6%2Fda5cdf68-127a-4dff-8f0e-1ad74512df4d%2Fok3d1a_processed.jpeg&w=3840&q=75)
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.](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2Fa8af0c69-8d90-40f2-a616-c640b9155ad6%2Fda5cdf68-127a-4dff-8f0e-1ad74512df4d%2F3k02ksg_processed.jpeg&w=3840&q=75)
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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