Please solve by hand or using R programming

4. A bacteriologist is interested in the effects of two different culture media (A) and two different times (B) on the growth of a particular virus. He or she performs 2 replicates of a design, making the runs in random order. XI and X2 are indicator variables for factor culture media and time respectively. The data is in the following Factor Treatment Replicates combination A B I II (1) 21 23 25 24 37 38 ab 29 30 i. Estimate of culture media main effect (change of average response in the level of culture averaged over levels of time) and time main effect (change of average response in the level of time averaged over levels of culture.) ii. Analyze culture media, time and interaction, and select the final model. iii. If the investigator think about a design, and complete the following Table. A B C Treatment combination (1)