Answer:
The value is 180
Step-by-step explanation:
The formula for z score is given by
x - mean
z= -------------
standard deviation
We know z= 2.4
We know the standard deviation =20
and we know the mean = 132
We can find x
x - 132
2.4 = ----------------
20
Multiply each side by 20
2.4 *20 = x-132
48 = x-132
Add 132 to each side
48+132 = x -132+132
180 = x
Answer:
The value that has a z score of 2.4 is 180.
Step-by-step explanation:
Given : If a normal distribution has a mean of 132 and a standard deviation of 20.
To find : What is the value that has a z score of 2.4?
Solution :
The formula of z-score is given by
[tex]z=\frac{x-\mu}{\sigma}[/tex]
where, z=2.4 is z score value
[tex]\mu=132[/tex] is the mean of the normal distribution
[tex]\sigma=20[/tex] is the standard deviation
x is the value of z score.
Substituting all the values in the formula,
[tex]2.4=\frac{x-132}{20}[/tex]
[tex]2.4\times 20=x-132[/tex]
[tex]48=x-132[/tex]
[tex]x=180[/tex]
Therefore, The value that has a z score of 2.4 is 180.
