Question: When comparing means with unknown population standard deviations, computing the pooled variance is necessary before performing a pooled t-test. Compute the pooled variance \[{{s}_{p}}\] where the first sample has size \[{{n}_{1}}=16\] and sample standard deviation \[{{s}_{1}}=4\] and the second sample has size \[{{n}_{2}}=14\] and sample standard deviation \[{{s}_{2}}=3\].