Answer:
The raw score for his exam grade is 99.69.
Step-by-step explanation:
Given : The professor announced that the mean for the class final exam was 88 with a standard deviation of 7. Given Daniel's z score of 1.67.
To find : What is the raw score for his exam grade?
Solution :
The formula use to find the z-score is
[tex]z=\dfrac{x-\mu}{\sigma}[/tex]
Where, z=1.67 is the z-score
[tex]\mu=88[/tex] is the means
[tex]\sigma=7[/tex] is the standard deviation
x is the raw score for his exam grade
Substitute the values,
[tex]1.67=\dfrac{x-88}{7}[/tex]
[tex]1.67\times 7=x-88[/tex]
[tex]11.69=x-88[/tex]
[tex]x=88+11.69[/tex]
[tex]x=99.69[/tex]
Therefore, the raw score for his exam grade is 99.69.
