Questions: According to a recent reporting on a standardized test, the average math score for students in a particular state was 555. Assume the scores are Normally distributed with a standard deviation of 100. Answer parts (a) through (c) below including an appropriately labeled and shaded Normal curve for each part.
a. What percentage of the math test takers from this state scored 600 or more?
Transcript text: According to a recent reporting on a standardized test, the average math score for students in a particular state was 555. Assume the scores are Normally distributed with a standard deviation of 100. Answer parts (a) through (c) below including an appropriately labeled and shaded Normal curve for each part.
a. What percentage of the math test takers from this state scored 600 or more?
Solution
Solution Steps
Step 1: Identify the given information
Average math score (mean, μ) = 555
Standard deviation (σ) = 100
We need to find the percentage of students who scored 600 or more.
Step 2: Calculate the Z-score
The Z-score formula is:
\[ Z = \frac{X - \mu}{\sigma} \]
Where: