The manipulated variables are given below.
1) Proximity of the peanut dish - Close or Far
2) Nature of peanuts – Shelled or Unshelled
These are called as manipulated variables since there values can be changed by the researcher at will and this possibly changes the outcome. Weight is not a manipulated variable but a measured variable in the given case.
Yes this is an IV×PV design since there are independent variable and also participative variables in the given scenario. The participative variable for the given case is the weight of the participant.
The given study is not a repeated measures design since the experiment does not any provision for repetition with the same subjects (Hillier, 2006).