A 2011 study from the National Center for Education Statistics found high school students reported spending an average of 6.8 hours of homework per week. The teachers at Ravenwood High School believe this average is different for their students. The teachers take a random sample of 56 students and found the average number of homework hours was 7.5 hours with a standard deviation of 1.1 hours. Required:
Test the teachers claim at the 0.10 significance level. Show all seven steps.