Use R to solve the problem

In clinical experiments involving different groups of independent samples, it is important that thegroupsbesimilarintheimportantwaysthataffecttheexperiment.Inanexperimentdesigned to test the effectiveness of paroxetine for treating bipolar depression, subjects were measured using the Hamilton depression scale with the results given below (based on data from a"Double-Blind,Placebo-ControlledComparisonofImipramineandParoxetineintheTreatment of Bipolar Depression," by Nemeroff et al., American Journal of Psychiatry, Vol. 158, No. 6). Use a 0.05 significance level to test the claim that the treatment and placebo groups comefrompopulationswiththesamemean.Assumeequalpopulationvariances.[UseTreatment - Placebo]

S Placebo 20 21.57 3.87 Treatment 15 20.38 3.91