Question

How to find the standardized test statistic.

Answer 1

To calculate the standardized test statistic, also known as the z-score, you subtract the mean from the given score and divide the result by the standard deviation. The z-score represents how many standard deviations the given score is away from the mean.

Step-by-step explanation:

To find the standardized test statistic, also known as the z-score, you need to follow these steps:

1. First, subtract the mean from the given score.
2. Next, divide the result by the standard deviation.
3. The resulting value is the z-score.

For example, to find the z-score for an SAT score of 720:

1. Subtract the mean (520) from the score (720): 720 - 520 = 200.
2. Divide the result by the standard deviation (115): 200 / 115 = 1.74.
3. The z-score is 1.74.

The z-score represents how many standard deviations the given score is away from the mean. In this case, a z-score of 1.74 indicates that the SAT score of 720 is 1.74 standard deviations above the mean.