Question

The mean score for a standardized test is 1700 points. The results are normally distributed with a standard deviation of 75 points. What is the z-score test result of 1800 points?

Answer 1

`z~~1.333`

Explanation:

The formula to solve for z-scores is:

`z = (X - mu)/sigma`

With X being the value of interest, `mu` being the mean of the normal distribution, and `sigma` being the standard deviation of the normal distribution.

In this case, we have `mu = 1700` and `sigma = 75`. We can substitute these values and find z:

`z = (1800 - 1700)/75 = 100/75 = 4/3 ~~ 1.333`