Question: (10) Measurement specialists know that the longer the test, in general, the higher the reliability coefficient. On pages 310-311, you are introduced to Cronbach’s alpha. The calculated measure .24 results from a small number of items on a particular instrument be it a test or questionnaire. Calculate Cronbach’s alpha for a long three-hour exam for entrance to a certain college’s MBA program. Below are important data.

\[s_{y}^{2}\] = 10.70, \[\Sigma s_{I}^{2}\] = 2.83, and the number of test items, k, = 50.

(a) \[\alpha \] =

(b) Would you say that this test has good reliability? Compare \[\alpha \] to \[{{r}_{xy}}\] in Table 5.2 on page 127. Explain.