Recall that the z score is defined as

In this problem, , and . Do you think that you can find now?

Similar to problem #1112. In a normal distribution, the standard deviation is 2.3 and a score of 62 corresponds to a standard score of -0.5. What is the mean of the distribution?

This is a little different, but has the same idea. This time, though, we will have to solve a system of equations.13. What are the mean and the standard deviation of a normal distribution when raw scores of 45 and 60 correspond to stand scores of -1 and 2 respectively?

One equation is

The other equation is

Thus, our system that we need to solve is

Can you take it from here?

Similar to problem #13.14. In a normal distribution scores of 70 and 50 correspond to standard scores of 01.5 and -1.5 respectively. Calculate the mean and standard deviation of the distribution.

Does this make sense?It would be great if somebody could give me the formulas to solve these questions or any tips on the subject. Bare in mind we are using very basic scientific calculators.

Thanks.

--Chris