The Graduate Record Exam (GRE) has a combined verbal and quantitative mean of 1000 and a standard deviation of 200. Scores range from 200 to 1600 and are approximately normally distributed. For each of the following problems:
I can not see your problems. Copy and paste does not work here. However I am sure this link will do the trick anyway:
http://davidmlane.com/hyperstat/z_table.html
To solve problems related to the Graduate Record Exam (GRE) scores, it is helpful to understand the concept of z-scores and how they relate to the mean and standard deviation of a distribution.
Z-score, also known as standard score, is a measure used to evaluate the relative position of a data point within a distribution. It indicates how many standard deviations a particular value is above or below the mean.
The formula to compute the z-score is:
Z = (X - μ) / σ
Where:
- Z is the z-score
- X is the particular value
- μ is the mean of the distribution
- σ is the standard deviation of the distribution
Once we have the z-score, we can use it to determine the relative position of a value in a distribution or to calculate probabilities associated with that value.
Now let's address your specific problems related to GRE scores.