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 assess readiness for college. In a recent year, the mean test score was 22.3 and the standard deviation was 4.5. Identify the test scores that are significantly low or significantly high What test scores are significantly low? Select the correct answer below and fill in the answer box(es) to complete your choice. O A. Test scores that are greater than (Round to one decimal place as needed.) OB. Test scores that are between and (Round to one decimal place as needed Use ascending order) OC. Test scores that are less than (Round to one decimal place as needed)

Answer 1

$\mu$ = 22.3

$\sigma$ = 4.5

(a) test score significantly low i.e. z ≤ -2

$z = \frac{x- \mu}{\sigma}$

$-2 = \frac{x- 22.3}{4.5}$

x = 13.30

Option C Test scores that are less than 13.3

(b)

test score significantly high i.e. z ≥ -2

$z = \frac{x- \mu}{\sigma}$

$2 = \frac{x- 22.3}{4.5}$

x = 31.30

Test scores that are greater than 31.3