If a normal distribution has a mean of 154 and a standard deviation of 15, what is the value that has a z-score of 2.2?
a. 166
b. 196
c. 187
d. 208

Respuesta :

Answer:

Option c. is correct

Step-by-step explanation:

The standard deviation is a measure of the amount of dispersion in a set of values.

Mean of a normal distribution (m) = 154

Standard deviation (s) = 15

z-score = 2.2

To find: value (x) that has a z-score of 2.2

z-score is given by [tex]z=\frac{x-m}{s}[/tex]

Put [tex]z=2.2,.m=154,s=15[/tex]

[tex]2.2=\frac{x-154}{15}\\15(2.2)=x-154\\33=x-154\\x=33+154\\=187[/tex]

Option c.is correct