For each of the following indicate whether the data is independent or paired. 1. A student measuring how gasoline prices change decides to record the cost of gas at 10 randomly selected stations in her hometown. One week later, she records the price again at the same 10 stations.
2. Suppose we did an experiment to gather data on the number of un-popped kernels of microwave popcorn. Half of the students in your class took home a bag, put it in the freezer overnight, and popped it the next day. The other half took the bag, left it on their kitchen counter overnight, and popped it the next day. Each group counted the number of un-popped kernels.
3. Suppose we did a new experiment to gather data on the number of un-popped kernels of microwave popcorn. Each student in your class brings home two bags. One is put in the freezer overnight, while the other is left on the kitchen counter overnight. Each bag is popped the next day and the number of un-popped kernels is recorded.
4. Suppose we did an experiment that gathered data on the time a person could stand balanced on one leg. Subjects in our experiment are timed standing on one leg with their eyes open, and also their eyes closed.
Are these data paired or independent?