Sarah chose to live on the honors floor of her dorm because she was told that the students on that floor would be quiet and studious. She was told that students on the honors floor study 10.5 hours...

Sarah chose to live on the honors floor of her dorm because she was told that the students on that floor would be quiet and studious. She was told that students on the honors floor study 10.5 hours per week. After living on the honors floor for a few months, Sarah is convinced that the students around her study less than 10.5 hours a week. To test her claim, Sarah polls 10 students on her floor regarding the number of hours per week that they spend studying. Use the results in the table below to test Sarah’s claim at the 0.05 level of significance. Assume that the population distribution is approximately normal.

hours of study: 12,4,14,9,8,6,10,12,11,9