Question

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. a test is used to access readiness for college. in a recent year the mean score was 20.1 and the standard deviation was 4.9. identify the scores that are significantly low or significantly high. What scores are significantly low. select the correct answer below and fill in the answer boxes to complete your choice

Answer 1

We know that the Z score is given by

When z=-2, we get

Thus scores which are equal to 10.3 or less are significantly low.

Also z=2 gives

So those scores which are equal to 29.9 or higher are significantly high.