A simple random sample X1,..., Xn is drawn from a population, and the quantities ln

Chapter 4, Problem 4

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QUESTION:

A simple random sample \(X_{1}, \ldots, X_{n}\) is drawn from a population, and the quantities ln \(X_{1}, \ldots, \ln X_{n}\) are plotted on a normal probability plot. The points approximately follow a straight line. True or false:

a. \(X_{1}, \ldots, X_{n}\) come from a population that is approximately lognormal.

b. \(X_{1}, \ldots, X_{n}\) come from a population that is approximately normal.

c. \(\ln X_{1}, \ldots, \ln X_{n}\) come from a population that is approximately lognormal.

d. \(\ln X_{1}, \ldots, \ln X_{n}\) come from a population that is approximately normal.

Equation Transcription:

     

   

   

     

   

Text Transcription:

X1,...,Xn    

X1,...,ln Xn    

X1,...,Xn    

X1,...,Xn      

ln X1,...,ln Xn    

ln X1,...,ln Xn

Questions & Answers

QUESTION:

A simple random sample \(X_{1}, \ldots, X_{n}\) is drawn from a population, and the quantities ln \(X_{1}, \ldots, \ln X_{n}\) are plotted on a normal probability plot. The points approximately follow a straight line. True or false:

a. \(X_{1}, \ldots, X_{n}\) come from a population that is approximately lognormal.

b. \(X_{1}, \ldots, X_{n}\) come from a population that is approximately normal.

c. \(\ln X_{1}, \ldots, \ln X_{n}\) come from a population that is approximately lognormal.

d. \(\ln X_{1}, \ldots, \ln X_{n}\) come from a population that is approximately normal.

Equation Transcription:

     

   

   

     

   

Text Transcription:

X1,...,Xn    

X1,...,ln Xn    

X1,...,Xn    

X1,...,Xn      

ln X1,...,ln Xn    

ln X1,...,ln Xn

ANSWER:

Problem 4

A simple random sample X1,..., Xn is drawn from a population, and the quantities ln X1,..., ln Xn are plotted on a normal probability plot. The points approximately follow a straight line. True or false:

a. X1,..., Xn come from a population that is approximately lognormal.

b. X1,..., Xn come from a population that is approximately normal.

c. ln X1,..., ln Xn come from a population that is approximately lognormal.

d. ln X1,..., ln Xn come from a population that is approximately normal.

                                                              Step by step solution

Step 1 of 3

Given Information:

     1. A simple random sample  is taken from a population.

     2.  form a straight line on a normal probability plot.

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