Question: Body image satisfaction among men and women. McCabe, Ricciardelli, and James (2007) recruited 107 men and 151 women to complete a series of surveys pertaining to factors such as body image and body satisfaction. Using the Body Image Satisfaction scale, where higher scores indicate greater satisfaction, they found that men scored 19.10 ± 4.55 (M ± SD), whereas women scored 16.84 ± 5.66 (M ± SD) on this scale. Assuming these data are normally distributed,
(a) What is the z score for 19.10 in the sample of data for men?
(b) What is the z score for 16.84 in the sample of data for women?
(c) Why are these z scores the same value?