A pharmaceutical manufacturer wants to investigate the bioactivity of a new drug. A completely randomized single factor experiment was performed with three dosage levels and the following results were obtained.

Posology Observations

20g 24 28 37 30

30g 37 44 31 35

40g 42 47 52 38

we would like to perform a hypothesis test to verify if the dosage level affects the bioactivity. If we know that the data do not follow the normal distribution, choose the appropriate methods for this hypothesis test alpha = 0.05? (solve manually, do not use minitab)