MATLAB: An Introduction with Applications
MATLAB: An Introduction with Applications
6th Edition
ISBN: 9781119256830
Author: Amos Gilat
Publisher: John Wiley & Sons Inc
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Concept explainers

Estimation
A new framework of data analysis where the new statistical methods are used for interpreting the results and analyzing the data is known as estimation in statistics.
Question

Salaries for teachers in a particular state have a mean of $ 43000 and a standard deviation of $ 4700. 

a.  If we randomly select 72 teachers from that district, can you determine the sampling distribution of the sample mean?

  1.   Yes or NO 
  2. If yes, what is the name of the distribution? 
  3. The mean? 
  4. The standard error? 

b. If we randomly select 19 teachers from that district, can you determine the sampling distribution of the sample mean?

  1.  Yes or no
  2. If yes, what is the name of the distribution? 
  3. The mean? 
  4. 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?

 19 or 72 

d. Assuming a sample size of 72, 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 72, 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?

 

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