Salaries for teachers in a particular state have a mean of $ 51000 and a standard deviation of $ 6500. a. If we randomly select 46 teachers from that district, can you determine the sampling distribution of the sample mean? yes or noIf yes, what is the name of the distribution? The mean? The standard error? b. If we randomly select 20 teachers from that district, can you determine the sampling distribution of the sample mean? yes or noIf yes, what is the name of the distribution? The mean? The standard error? d. Assuming a sample size of 46, what is the probability that the sampling error is within $1000. (In other words, the sample mean is within $1000 of the true mean.) e. Assuming a sample size of 46, what is the 90th percentile for the AVERAGE teacher’s salary? f. Assuming that teacher’s salaries are normally distributed, what is the 90th percentile for an INDIVIDUAL teacher’s salary?

Comments: As per the Company norms we have to solve first three parts only. Solution: Given…

Answered: laries for teachers in a particular…

MATLAB: An Introduction with Applications

6th Edition

ISBN:9781119256830

Author:Amos Gilat

Publisher:Amos Gilat

Chapter1: Starting With Matlab

Section: Chapter Questions

Problem 1P

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Salaries for teachers in a particular state have a mean of $ 51000 and a standard deviation of $ 6500.

a. If we randomly select 46 teachers from that district, can you determine the sampling distribution of the sample mean?

yes or no
If yes, what is the name of the distribution?
The mean?
The standard error?

b. If we randomly select 20 teachers from that district, can you determine the sampling distribution of the sample mean?

yes or no
If yes, what is the name of the distribution?
The mean?
The standard error?

d. Assuming a sample size of 46, what is the probability that the sampling error is within $1000. (In other words, the sample mean is within $1000 of the true mean.)

e. Assuming a sample size of 46, what is the 90^th percentile for the AVERAGE teacher’s salary?

f. Assuming that teacher’s salaries are normally distributed, what is the 90^th percentile for an INDIVIDUAL teacher’s salary?

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