Example 4
- Author:
- Walch Education
The scores of a particular college admission test are normally distributed, with a mean score of 30 and a standard deviation of 2. Erin scored a 34 on her test. If possible, determine the percent of test takers whom Erin outperformed on the test.
- Sketch a normal curve and shade the area of the interval of interest.
- Determine how many standard deviations away from the mean Erin’s score is.
- Use symmetry and the 68–95–99.7 rule to determine the area of interest.
- Interpret the proportion in terms of the context of the problem.