Answer
(a) $n=19$, $n_y=9$, $n_n=10$ and $r=5$
(b) $lower~critical~value=5$
$upper~critical~value=16$
(c) $r\leq lower~critical~value$: null hypothesis is rejected.
There is enough evidence to conclude that the sequence is not random.
Work Step by Step
(a) $n=19$, $n_y=9$, $n_n=10$ and $r=5$
(b) $lower~critical~value=5$
$upper~critical~value=16$
(According to table X, for $n_1=9$, $n_2=10$)
(c) Small sample case:
$H_0:~The~sequence~is~random$ versus $H_1:~The~sequence~is~not~random$
Test statistic: $r=5$
Since $r\leq lower~critical~value$, we reject the null hypothesis.
