Confidence Intervals Q1. Samples of aircrew on long haul schedules are tested to assess the amount of time they spend in stage IV sleep. It has been hypothesized that individuals suffering from tiredness due to long haul work may spend less time per night in the deeper stages of sleep. The number of minutes spent in Stage IV sleep is recorded for sixty-one patients. The sample produced a mean of 48 minutes (sd=14 minutes) of stage IV sleep over a 24-hour period of time. Compute a 95 percent confidence interval for this data. What does this information tell you about a particular individual's stage IV sleep? (40 points) Q2. Embry Riddle wants to know more about the knowledge of their Graduate students regarding international Aviation law. They are concerned that their students are uninformed in regards to international law from other countries. A standardized test is used to assess the students knowledge (national reported mean=65, sd=5). A sample of 30 students are tested (sample mean=58, standard error=3.2). Compute a 99 percent confidence interval based on this sample's data. How do these students compare to the national sample? (30 points) Q3. Samples of our students from an applied experimental design class were polled regarding the number of hours they spent studying for the last exam. All students anonymously submitted the number of hours on a 3x5 card. There were 24 individuals in the section of the course polled. The data was used to make inferences regarding students taking other sections of the same course. Below is the data: 4.5 22 7.0 14.5 9.0 9.0 3.5 8.0 11.0 7.5 18.0 20.0 7.5 9.0 10.5 15.0 19.0 2.5 5.0 9.0 8.5 14.0 20.0 8.0 Compute 95% confidence intervals. What does this tell us? (30 points)