Question

You take a national test in which the mean score is 300 and the standard deviation is 60. You earn a 380.

Would it be more appropriate to calculate a z-score or a t-score?

Answer 1

Answer: it will be more appropriate to calculate a z-score.

Explanation:

In this situation, we were not given the sample size. It means that we are dealing with population data. Since we know the population mean and population standard deviation, it will be more appropriate to calculate a z-score.

The z score would help to determine how many standard deviations is your score of 300 from the mean score(it could be below or above the mean score.

Answer 2

z-score

Explanation:

Since we are given the mean and standard deviation of a national test (whole population) it is fair to assume a large population size, and the use of the z-score would be more appropriate, since the z-score is used for the standardization of population data, while the t-score is recommended for samples or small populations.