Question 20 2 pts A statistics professor at a large 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 36 students who took a morning class and, independently, another random sample of 36 students who took an afternoon class. He nds 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 equal for morning and evening classes. Let pi and 112 represent the population mean nal exam scores of statistics' courses offered in the morning and the afternoon, respectively. Also assume that both populations are normal. Compute the appropriate test statistic to analyze the claim. Round to three decimal places