The accompanying table provides data on a measure of emotional health and a measure of the quality of the work environment for $13$ different occupations. These data are from an article titled $"$U$.$S$.$ Teachers Love Their Lives, but Struggle in the Workplace" on the Gallup web site.$$

Occupation Emotional

Health

Score Work

Environment

Score

Physician $83\mathrm{.}761\mathrm{.}5$

Teacher $82\mathrm{.}749\mathrm{.}9$

Farming, fishing, or forestry $82\mathrm{.}753\mathrm{.}3$

Professional $82\mathrm{.}354\mathrm{.}0$

Nurse $81\mathrm{.}850\mathrm{.}1$

Business owner $81\mathrm{.}767\mathrm{.}8$

Manager, executive, or official $81\mathrm{.}556\mathrm{.}5$

Construction or mining $80\mathrm{.}950\mathrm{.}3$

Installation or repair $80\mathrm{.}744\mathrm{.}8$

Clerical or office $80\mathrm{.}344\mathrm{.}4$

Sales $80\mathrm{.}245\mathrm{.}5$

Manufacturing or production $80\mathrm{.}141\mathrm{.}5$

Transportation $80\mathrm{.}039\mathrm{.}2$