# Consider a value to be significantly low if its z score less than or equal to minus−2 or consider a value to be significantly high if its z score is greater than or equal to 2. A test is used to assess readiness for college. In a recent​ year, the mean test score was 19.419.4and the standard deviation was 4.54.5. Identify the test scores that are significantly low or significantly high.

Question
Consider a value to be significantly low if its z score less than or equal to
minus2
or consider a value to be significantly high if its z score is greater than or equal to 2.

A test is used to assess readiness for college. In a recent year, the mean test score was
19.419.4
and the standard deviation was
4.54.5.
Identify the test scores that are significantly low or significantly high.
Step 1

In the question the values are printed two times as 19.419.4. For convenience, the values are taken as below:

The mean test score for the college is 19.4 and the standard deviation is 4.54.

Step 2

z-score:

X follows a distribution that has mean µ and the standard deviation σ. Then the z-score,

Step 3

For the low sign...

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