Question: For the municipal wastewater treatment plant primary effluent data, test the following hypothesis for a=0.05

\[\begin{aligned} & a-{{H}_{\circ }}:{{\mu }_{D,BOD}}=0......vs......{{H}_{A}}:{{\mu }_{D,BOD}}\ne 0\text{ D}=\text{Difference} \\ & b-{{H}_{\circ }}:{{\mu }_{D,SS}}=0......vs......{{H}_{A}}:{{\mu }_{D,SS}}\ne 0 \\ & c-{{H}_{\circ }}:{{\sigma }^{2}}_{BOD,commercial}={{\sigma }^{2}}_{BOD,State}......vs......{{H}_{A}}:{{\sigma }^{2}}_{BOD,commercial}\ne {{\sigma }^{2}}_{BOD,State} \\ & d-{{H}_{\circ }}:{{\sigma }^{2}}_{SS,commercial}={{\sigma }^{2}}_{SS,State}......vs..........{{H}_{A}}:{{\sigma }^{2}}_{SS,commercial}\ne {{\sigma }^{2}}_{SS,State} \\ \end{aligned}\]