You are working as an assistant to the dean of institutional research at your university. The dean wants to survey members of the alumni association who obtained their baccalaureate degrees 5 years ago to learn what their starting salaries were in their first​ full-time job after receiving their degrees. A sample of 100 alumni is to be randomly selected from the list of 1,200 graduates in that class. If the​ dean's goal is to construct a 95​% confidence interval estimate for the population mean starting​ salary, why is it not possible that you will be able to use the expression X±Z0.025σn for this​ purpose? Explain.       Question content area bottom Part 1 Why is it not possible to use the​ equation?     A. The sample size n is not large enough to use this expression.   B. The sample mean X might not be a whole​ number, but the number of students must be.   C. The population standard deviation σ is not known.   D. The sample size n is too large to use this expression.

MATLAB: An Introduction with Applications
6th Edition
ISBN:9781119256830
Author:Amos Gilat
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You are working as an assistant to the dean of institutional research at your university. The dean wants to survey members of the alumni association who obtained their baccalaureate degrees 5 years ago to learn what their starting salaries were in their first​ full-time job after receiving their degrees. A sample of
100
alumni is to be randomly selected from the list of
1,200
graduates in that class. If the​ dean's goal is to construct a
95​%
confidence interval estimate for the population mean starting​ salary, why is it not possible that you will be able to use the expression
X±Z0.025σn
for this​ purpose? Explain.
 
 
 

Question content area bottom

Part 1
Why is it not possible to use the​ equation?
 
 
A.
The sample size n is not large enough to use this expression.
 
B.
The sample mean
X
might not be a whole​ number, but the number of students must be.
 
C.
The population standard deviation
σ
is not known.
 
D.
The sample size n is too large to use this expression.
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