The data in the table examine the relationship between stock market changes (1) during the first few days in January and (2) over the course of the entire year. Included are the years from 1950 through 1986.
(a) Use Theorem 14.6.1 to test the randomness of the January changes (relative to the number of runs up and down). Let α = 0.05.
(b) Use Theorem 14.6.1 to test the randomness of the annual changes. Let α = 0.05.

.8 5 8 6 0 4 6 3 1 5 0 1 8 9 0 1 1 1 7 4 1 8 6 4 7 5 1 5 1387: 83436 gax 0369 1202001321003 3 00 1. 0223211 122 3 4 5 6 7 8 9 0 1 2 3 4 5 6 7 8 9 0 1 2 3 4 5 6 7 8 9 0 1 2