Two fertilizers, equal spreads: pooled two-sample t-test

Two fertilizers are trialed on separate plots, and their yield spreads look similar, so equal variances are assumed. Fertilizer A: 10 plots, mean 52 bushels, sample standard deviation 5. Fertilizer B: 12 plots, mean 47 bushels, sample standard deviation 6.

Run a pooled two-sample t-test at the 5% level (two-sided): do the mean yields differ? Report the t-statistic.