Question

For a z-score of 3.60, what is the proportion of getting a score higher than this z-score?

SELECT THE CORRECT ANSWER
0.0002

0.0020

0.0200

0.2222

Answer 1

To find the proportion of scores higher than a z-score of 3.60, we can refer to the standard normal distribution table or use a calculator designed for normal distributions.

The z-score of 3.60 indicates how many standard deviations a data point is from the mean. For a z-score of 3.60, the cumulative probability (the area to the left of the z-score) is very close to 1, since it's far into the tail of the distribution.

Using a standard normal distribution table or calculator:

- The cumulative probability for a z-score of 3.60 is approximately 0.99984.

To find the proportion of scores higher than this z-score, we subtract the cumulative probability from 1:

\[ P(Z > 3.60) = 1 - P(Z < 3.60) = 1 - 0.99984 = 0.00016 \]

When simplified, this is roughly 0.0002.

Thus, the correct answer is:

**0.0002**