A teacher wants to know whether there is a difference in average math test scores between boys and girls. She randomly samples 30 boys and 35 girls. The boys’ sample has mean score 78 with sample standard deviation 10, and the girls’ sample has mean score 82 with sample standard deviation 8. At the 5% significance level, is there evidence that the true mean scores differ between boys and girls?

Compute Standard Error And T Statistic.