Textbook ExpertVerified Tutor
19 Nov 2021
Given information
In a normal distribution, and This tells you that is ____ standard deviations to the ____ (right or 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.
In the given normal distribution, and
Therefore,
Hence,
This tells that is standard deviations to the (right or left) of the mean.
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