could you help giving me explanations on this problem ? Thank you

Please use R/Rstudio.

Please conduct any hypothesis test if necessary.

4.22. The effect of five different ingredients (A, B, C, D, E) on the reaction time of a chemical process is being studied. Each batch of new material is only large enough to permit five runs to be made. Furthermore, each run requires approximately 1- hours, so only five runs can be made in one day. The exper- imenter decides to run the experiment as a Latin square so that day and batch effects may be systematically controlled. She obtains the data that follow. Analyze the data from this exper- iment (use a = 0.05) and draw conclusions. Day Batch 1 2 3 4 5 A =8 B=7 D=1 C=7 E = 3 2 C = 11 E=2 A =7 D=3 B = 8 3 B =4 A =9 C = 10 E=1 D=5 4 D =6 C=8 E = 6 B = 6 A = 10 E =4 D=2 B = 3 A = 8 C = 8