Suppose you draw an observation (x = 158) from non-std normal distribution, X~N(150,18). We can convert x from this non-standard normal distribution to a standard normal distribution Z~N(0,1). If we do this, then our observation becomes z = ______.

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Suppose you draw an observation (x = 158) from non-std normal distribution, X~N(150,18). We can convert x from this non-standard normal distribution to a standard normal distribution Z~N(0,1). If we do this, then our observation becomes z = ______.
(Round your answer to two decimal places, ex: 0.12)  

Expert Solution
Step 1

Given information:

X follows a normal distribution with a mean equal to 150 and a variance equal to 18. 

i.e., X~N(150,18)

X is a non-standard normal distribution. 

-----------------------

Z follows a standard normal distribution with a mean equal to 0 and a variance equal to 1.

i.e., Z~N(0,1)

--------------------- 

 

 

 

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