Question

In recent years there has been considerable discussion about the appropriateness of the body shapes and proportions of the Ken and Barbie dolls. These dolls are very popular, and there is some concern that the dolls may be viewed as having the \"ideal body shape,\" potentially leading young children to risk anorexia in pursuit of that ideal. Researchers investigating the dolls' body shapes scaled Ken and Barbie up to a common height of 170.18 cm (5' 7\") and compared them to body measurements of active adults. Common measures of body shape are the chest (bust), waist, and hip circumferences.

Answer 1

Basing from the table, the answers are:

Ken: 
chest: z = ( x - μ ) / σ = -2.4898 
           P (x < 56.5) = P (z < -2.4898) = 0.0064 
100 cm: 
Waist: z = ( x - μ ) / σ = 1.949 
           P (x < 100) = P (z < 1.949) = 0.9744

Chest=(82.3-90.3)/5.5=-1.455

waist=(40.7-69.8)/4.7=-6.191

 hips=(72.7-97.9)/5.4=-4.667