12 adult women were asked for their size in a random sample and then accurately measured, here are the data : Do these data allow you to conclude, at the 2% threshold, that for adult women the self-reported average height is less than the measured average height ? Assume that the distribution of the difference ( ? ? ) of these two size types follows the normal distribution model and that ?? = 0.95 and ??? = 0.58. (Do not calculate ?? and ???)

Tailles des douze femmes adultes (en cm) Taille autodeclaree (cm) Taille mesuree (cm) 163 162,1 163 162,0 155 154,7 167 165,4 159 157,8 163 162, 1 162 160,3 165 165.4 161 160,3 161 160,2 161 159,6 163 161,7