Performing Hypothesis Tests: Means: Videos & Practice Problems

Researchers are studying the effect of background music on concentration. One group of students studied with classical music, while another group studied in silence. Their concentration scores were recorded and summarized as follows:

Assume that the two samples are independent simple random samples selected from normally distributed populations, and do not assume that the population standard deviations are equal. Use degrees of freedom equal to the smaller of $n_1-1$ and $n_2-1$. At the $0.01$ significance level, test the claim that classical music leads to higher concentration scores than silence.