Scores on the SAT test have a mean of 1518 and a standard deviation of 325. Scores on the ACT test have a mean of 21.1 and a standard deviation of 4.8 explain

The complete question is:

Scores on the SAT test have a mean of 1518 and a standard deviation of 325. Scores on the ACT test have a mean of 21.1 and a standard deviation of 4.8. Which of the following choices is NOT true?

Options:

A) The ACT score of 17.0 is relatively better than the SAT score of 1490

B) An SAT score of 1490 has a z score of -0.09

C) The SAT score of 1490 is relatively better than ACT score of 17.0

D) An ACT score of 17.0 has a z score of -0.85

To compare scores on different scales or from different groups you need to use a normalized standardized statistic, like the z-score.

Where is the mean of the sample, and is the standard deviation.

1. Find the z-core for an ACT score of 17.0

That means that the ACT score of 17.0 is 0.85 standard deviations below the meqan.

2. Find the z-score for an SAT score of 1490

That means that the SAT score of 1490 is 0.09 standard deviations from the mean.

3. Conlusion:

Since the z-score of the SAT score of 1490 is greater than the z-score of the ACT of 17.0, the SAT score of 1490 is relatively better than the aCT score of 17.0.

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