If the mean score on the final exam is 70 with a standard deviation of 10 then the test score of a student that had a z-score of -1.5 is:
To find the test score of a student with a z-score of -1.5, we can use the z-score formula:
z = (x - μ) / σ
Where:
- z is the z-score
- x is the test score
- μ is the mean score
- σ is the standard deviation
In this case, we know that the z-score is -1.5, the mean score (μ) is 70, and the standard deviation (σ) is 10. We can rearrange the formula to solve for x:
-1.5 = (x - 70) / 10
Now we can solve for x by multiplying both sides of the equation by 10:
-1.5 * 10 = x - 70
-15 = x - 70
Next, we can isolate x by adding 70 to both sides of the equation:
-15 + 70 = x
55 = x
Therefore, the test score of a student with a z-score of -1.5 is 55.