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Problem

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Textbook Expert
Textbook ExpertVerified Tutor
19 Nov 2021

Given information

Suppose   What value of  is  standard deviations to the left of the mean?

Step-by-step explanation

Step 1.

If  is the normally distributed random variable and,  then the score is

  

The value tells, how many standard deviations the value of  is above (to the right) or below (to the left) the mean,   

When  is positive,  is above or right of the mean, and when  is negative,  is below or left of the mean.

As the given information reveals the following values are noted:

 

Therefore, using the score formula to find the value of ,

 

Therefore, the value of which is standard deviations below the mean.

 

 

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