We have provided summary statistics for independent simple random samples from two populations. Preliminary data analyses indicate that the variable under consideration is normally distributed on each population. Decide, in each case, whether use of the pooled t-test and pooled t-interval procedure is reasonable. Explain your answer.
x?1=39.04, s1=18.82,n1=51,x?2=49.92,s2=18.97,n2=53.