Given that
[tex]\begin{gathered} \mu_d=\mu_2-\mu_1=21.1 \\ s_d=14.9 \\ n=8 \end{gathered}[/tex]
a) The formula for the test statistics for this sample is,
[tex]t=\frac{\mu_d}{s_d\sqrt[]{n}}[/tex]
Therefore,
[tex]\begin{gathered} t=\frac{21.1}{14.9\times\sqrt[]{8}}=0.50067 \\ t=0.50067\approx0.501(3\text{ decimal places)} \\ \therefore t=0.501 \end{gathered}[/tex]
Hence, the test statistic for this sample is
[tex]t=0.501[/tex]
b)
