A small liberal arts college uses an commercially available test called theAcademic Achievement Test (AAT) to screen applicants. A new version of thetest that adds a writing subscale to the standard verbal and math subscales of the test. The writing subscale requires test takers to write three short essays that are rated by trained scorers. The reliability of the scores from the writing subscale of the AAT is 0.60.The reliability coefficients for scores from the verbal subscale is .88 and reliability coefficient for scores from the math subscale is .90. The correlations among the different portions of the AAT are shown in the table below. Compare the reliability of the composite scores composed of the verbal, math and writing subscales, with that of composite scores composed of the verbal and math subscale scores only.Show your work. Would you recommend that the University use SAT scores that include the writing sample, or should they use the scores from the traditional SAT scores? Explain your answer.

Verbal Math Writing Verbal Math 0.850 Writing 0.700 0.550