Given below are two statements:
Statement I: Ozonolysis followed by treatment with \( \mathrm{Zn}, \mathrm{H_2O} \) of cis-\( 2 \)-butene gives ethanal.
Statement II: The product obtained by ozonolysis followed by treatment with \( \mathrm{Zn}, \mathrm{H_2O} \) of \( 3,6 \)-dimethyloct-\( 4 \)-ene has no chiral carbon atom.
In the light of the above statements, choose the correct answer from the options given below.