1. For each of the following three statements:
(1) identify the most suitable statistical test based on theproblem described
(2) declare the hypotheses of the chosen test, based on thestatement (in words or in mathematical language)
(3) establish the statistical decision rule for the chosentest, including the critical value.
(9 points)
(a) Ophthalmologists want to compare the visual acuity ofpeople who have had corrective laser surgery (7 individuals) andthose who have not had surgery (10 individuals). Visual acuity ismeasured as the maximum distance (in m) at which characters can bediscerned. The acuity is distributed normally and its variance ishomogeneous between the groups.
(b) Ophthalmologists want to compare the visual acuity ofpeople who have had corrective laser surgery (7 individuals) andthose who have not had surgery (10 individuals). Visual acuity ismeasured on a semi-quantitative scale ranging from 0 (poor) to 10(perfect)
c) Ophthalmologists want to compare the visual acuity of theright eye and the left eye of a group of 10 people. Visual acuityis measured as the maximum distance (in m) at which characters canbe discerned. The acuity is distributed normally and its varianceis homogeneous between the two eyes
