The mean of a set of credit scores is 690 and 14. Which credit score is within a zscore of 3.3? 634 640 720 750
Question
634
640
720
750
2 Answer

1. User Answers HaruKoiUta
The answer is c) 720. 
2. User Answers ApusApus
Answer:
C. 720.
Stepbystep explanation:
We have been given that the mean of a set of credit scores is 690 and standard deviation is 14.
To find the credit score that is within a zscore of 3.3 we will use zscore formula.
[tex]z=\frac{x\mu}{\sigma}[/tex], where,
[tex]z=\text{zscore}[/tex],
[tex]x=\text{Raw score}[/tex],
[tex]\mu=\text{Mean}[/tex],
[tex]\sigma=\text{Standard deviation}[/tex].
Upon substituting our given values in above formula we will get,
[tex]3.3=\frac{x690}{14}[/tex]
Let us multiply both sides of our equation by 14.
[tex]3.3*14=\frac{x690}{14}*14[/tex]
[tex]46.2=x690[/tex]
Let us add 690 to both sides of our equation.
[tex]46.2+690=x690+690[/tex]
[tex]736.2=x[/tex]
Upon looking at our given values we can see that credit score 720 is within a zscore of 3.3, while 750 is above our given zscore, therefore, option C is the correct choice.