Salaries for teachers in a particular state have a mean of $ 45000 and a standard deviation of $ 6700. a. If we randomly select 16 teachers from that district, can you determine the sampling distribution of the sample mean? Yes No If yes, what is the name of the distribution? The mean? This is not a decimal or integer value.The standard error? b. If we randomly select 74 teachers from that district, can you determine the sampling distribution of the sample mean? Yes NoIf yes, what is the name of the distribution? The mean? The standard error? c. For which sample size would I need to know that population distribution of X, teacher salaries, is normal in order to answer?d. Assuming a sample size of 74, 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 74, 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?

MATLAB: An Introduction with Applications

6th Edition

ISBN:9781119256830

Author:Amos Gilat

Publisher:Amos Gilat

Chapter1: Starting With Matlab

Section: Chapter Questions

Problem 1P

See similar textbooks

Salaries for teachers in a particular state have a mean of $ 45000 and a standard deviation of $ 6700.

a. If we randomly select 16 teachers from that district, can you determine the sampling distribution of the sample mean?

Yes No
If yes, what is the name of the distribution?
The mean? This is not a decimal or integer value.
The standard error?

b. If we randomly select 74 teachers from that district, can you determine the sampling distribution of the sample mean?

Yes No
If yes, what is the name of the distribution?
The mean?
The standard error?

c. For which sample size would I need to know that population distribution of X, teacher salaries, is normal in order to answer?

d. Assuming a sample size of 74, 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 74, 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?

Expert Solution

Trending now

This is a popular solution!

Step by step

Solved in 2 steps

SEE SOLUTION Check out a sample Q&A here

Knowledge Booster

$Basics of Inferential Statistics$

Learn more about

Need a deep-dive on the concept behind this application? Look no further. Learn more about this topic, statistics and related others by exploring similar questions and additional content below.

Similar questions