Answer: The raw score for Daniel's exam grade is 101.69.
Step-by-step explanation:
For x be any random variable.
Formula for z-score :
[tex]z=\dfrac{x-\mu}{\sigma}[/tex] , where [tex]\mu[/tex] = population mean
[tex]\sigma[/tex] = population standard deviation.
Let x be the raw score for Daniel's exam grade.
As per given , we have
[tex]\mu=90[/tex] , [tex]\sigma=7[/tex] and z= 1.67 , put these values in the above formula , we get
[tex]1.67=\dfrac{x-90}{7}\\\\\Rightarrow\ x-90=7(1.67)=11.69\\\\\Righarrow\ x=11.69+90=101.69[/tex]
Hence, the raw score for Daniel's exam grade is 101.69.