<Para ID="Par1">Given a location-scale family generated by a distribution with smooth positive density, the aim is to provide distribution-free tests and confidence intervals for a skewness coefficient determined by three quantiles. It is the Bowley–Hinkley ratio <InlineEquation ID="IEq1"> <EquationSource Format="TEX">$$S_r/R_r$$</EquationSource> <EquationSource Format="MATHML"> <math xmlns:xlink="http://www.w3.org/1999/xlink"> <mrow> <msub> <mi>S</mi> <mi>r</mi> </msub> <mo stretchy="false">/</mo> <msub> <mi>R</mi> <mi>r</mi> </msub> </mrow> </math> </EquationSource> </InlineEquation>, where <InlineEquation ID="IEq2"> <EquationSource...</equationsource></inlineequation></equationsource></equationsource></inlineequation></para>