Question

A test is used to assess readiness for college. In a recent​ year, the mean test score was 21.2 and the standard deviation was4.9 . Identify the test scores that are significantly low or significantly high.

Answer 1

Scores that are greater than 31 are significantly high.

Scores that are less than 11.4 are significantly low.

The test scores between 11.4 and 31 are not significantly low or significantly high.

How to Identify significance values?

We are given;

Standard deviation; s = 4.9

From the complete question, we are told to consider a value to be significantly low if its z score less than or equal to -2 or consider a value to be significantly high if its z score is greater than or equal to 2.

Thus;

2s = 2 * 4.9 = 9.8

Scores that are greater than 21.2 + 9.8 = 31 are significantly high.

Scores that are less than 21.2 - 9.8 = 11.4 are significantly low.

Thus, the test scores between 11.4 and 31 are not significantly low or significantly high.

Read more about significance values at; brainly.com/question/4621112

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