Provide a detailed experimental design that considers all relevant topics covered in this scenario. [8 marks]

relevant topics 1. Randomization 2. Replication 3. Independence 4. Subsamples and pseudo-replication 5. Confounding factors 6. Precision and accuracy 7. Ethical considerations 8. Realism and repeatability.

scenario: Effect of age and sex on weight loss outcomes on a standardized diet. You have been tasked with assessing the general effectiveness of a diet designed specifically to promote weight loss in patients with Type 2 diabetes. You are particularly interested in learning if weight loss of participants following this diet varies based on the participant's age and sex. Each participant is expected to report their weight to you on a weekly basis for six months, and to record all food that they consume into an online database so that you can ensure they are correctly following the prescribed diet. Your dependent variable is weight loss per participant (but be careful how you deal with the multiple measurements of weight per participant).

Hint 1: There are two required independent variables, patient age and patient sex. For simplicity, treat both as categorical variables. Age = 40-50, 50-60, 60-70; Sex = Male or female.