Answer:
(a) The value of the test statistic is, <em>t</em> = 2.
(b) The <em>p</em>-value of the test is 0.081.
Step-by-step explanation:
The hypothesis for the paired difference test is:
H₀:
vs. Hₐ: 
<u>Given</u>:

(a)
The test statistic is:

The value of the test statistic is, <em>t</em> = 2.
(b)
It is provided that the
.
But the hypothesis test is two-tailed.
The <em>p</em>-value for the two-tailed test is:
or 
The <em>p</em>-value is:

Thus, the <em>p</em>-value of the test is 0.081.