Answer Happy

Hi, can you please help and show all steps
a A chemistry professor at a university hypothesizes that students who take statistics in the morning typically do better than those who take it in the afternoon. He takes a random sample of 12 students who took a morning class and, independently, another random sample of 15 students who took an afternoon class. He finds that the morning group scored an average of 74 with a standard deviation of 8, while the evening group scored an average of 68 with a standard deviation of 10. The population standard deviation of scores is unknown but is assumed to be unequal for morning and evening classes. At the 1% significance level, does the evidence support the professor's claim? Statistical Value = = Degree of freedom df = (Round down only by ignoring the decimals) Critical value = So, we Ho. (Just type "reject" or "fail to reject")