Answer
(a) See the picture.
(b) $r_s=0.086$
(c) $-0.886\lt r_s\lt 0.886$: null hypothesis is not rejected.
There is not enough evidence to conclude that X and Y are associated.
Work Step by Step
(a) See the picture.
(b) See the picture.
$∑d_i^2=0+4+4+4+4+16=32$
$r_s=1-\frac{6∑d_i^2}{n(n^2-1)}=1-\frac{6\times32}{6(6^2-1)}=0.086$
(c) $H_0: X~and~Y~are~not~associated$ versus $H_1: X~and~Y~are~associated$
Critical values = 0.886 and -0.886
(According to Table XIV, for n = 6 and α(2) = 0.05)
Since $-0.886\lt r_s\lt 0.886$, we do not reject the null hypothesis.
