(Solution) - Given here are the sample sizes and the sample standard -(2025 Original AI-Free Solution)

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Given here are the sample sizes and the sample standard deviations for independent random samples from two populations. For each case, state which of the three tests you would use in testing hypotheses about ?1, - ?2: (l) Z test, (2) t test with pooling, (3) approximate t test without pooling. Also, state any assumptions you would make about the population distributions.
(a) n = 35, s1 = 12.2
n2 = 50, s2 = 8.6
(b) n = 8, s1 = 0.86
n2 = 7, s2 = 1.12
(c) nl = 8, s1 = 1.54
n2 = 15, s2 = 5.36
(d) nl = 70, s1 = 6.2
n2 = 60, s2 = 2.1