Anorexia nervosa (AN) is a psychiatric condition leading to substantial weight loss among women fearful of becoming overweight. An article used whole-body magnetic resonance imagery to determine various tissue characteristics for both an AN sample of individuals who had undergone acute weight restoration and maintained their weight for a year and a comparable (at the outset of the study)control sample. Here is the summary data on intermuscular adipose tissue. Condition: AN, sample size=16, sample mean=0.52, sample SD=0.26, Condition control, sample size=8, sample mean=0.35, sample SD=0.15. Assume both samples selected from normal distribution.
a) Calculate an estimate for the true avg IAT under the described AN protocol; do so in a way that conveys info about the reliability and precision of the estimation.
b) Calculate an estimate for the difference between true avg AN IAT and true average control IAT; do so in a way that conveys info about the reliability and precision of the estimation. WHat does your estimate suggest about true average AN IAT relative to true avg control IAT?