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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Introductory Statistics
OER Edition, 2013
Openstax
ISBN: 9781938168208
Solutions
Chapter
Section
- Problem 1
- Problem 2
- Problem 3
- Problem 4
- Problem 5
- Problem 6
- Problem 7
- Problem 8
- Problem 9
- Problem 10
- Problem 11
- Problem 12
- Problem 13
- Problem 14
- Problem 15
- Problem 16
- Problem 17
- Problem 18
- Problem 19
- Problem 20
- Problem 21
- Problem 22
- Problem 23
- Problem 24
- Problem 25
- Problem 26
- Problem 27
- Problem 28
- Problem 29
- Problem 30
- Problem 31
- Problem 32
- Problem 33
- Problem 34
- Problem 35
- Problem 36
- Problem 37
- Problem 38
- Problem 39
- Problem 40
- Problem 41
- Problem 42
- Problem 43
- Problem 44
- Problem 45
- Problem 46
- Problem 47
- Problem 48
- Problem 49
- Problem 50
- Problem 51
- Problem 52
- Problem 53
- Problem 54
- Problem 55
- Problem 56
- Problem 57a
- Problem 57b
- Problem 58a
- Problem 58b
- Problem 59a
- Problem 59b