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a) For given data\begin{array}{l}\bar{x}=6.96 \\S=0.4835\end{array}b) 99 \% upper one sided confidence baund\begin{aligned}& =\bar{x}+t_{n-1 ; \alpha_{12}} \times \frac{s}{\bar{y}} \\& =\overline{\bar{n}} \\& =6.96+t_{9 ; 0.005} \times \frac{0.4835}{\sqrt{10}} \\\text { Answer } & =7.4568\end{aligned}c)\begin{array}{l}H_{0}: \mu=7.5 \\H_{9}: \mu<7.5\end{array}Teststatistic\begin{aligned}t & =\frac{\bar{x}-4}{s / \sqrt{n}} \\& =\frac{6.96-7.5}{0.4835 / \sqrt{10}} \\& =\frac{-0.54}{0.1528} \\t & =-3.5318\end{aligned} ...