Statement I: Hard water does not give lather with soap
Statement II : In hard water, the sodium stearate of soap changes to the corresponding calcium magnesium salt which precipitates out

The hard water does not gives lather with soap solution, due to the presence of ↑ soluble Ca & Mg salts
Those are Mg(HCO₃)₂    MgCO₃
               Ca(HCO₃)₂     CaCO₃
The sodium stearate of soap reacts with these salts and converting into insoluble (PPT) calcium and magnesium stearate.
 

Statement I and Statement II are true.