1. At the airport, do business travelers walk at a different pace than people traveling for vacation? Researchers measured the walking speed (in feet per minute) of business and vacation travelers in San Francisco International Airport, and found that the speeds were approximately normally distributed, with summary statistics as shown below. Mean Standard deviation Sample size Business 272 43 20 Vacation 261 47 20 a. To investigate this research question, which type of theory-based test would you want to check the assumptions for? Explain what assumption(s) you would check, and how you would check them. b. State the null and alternative hypotheses in symbols. Use the most appropriate symbols (,,p, or p) and write in words what one of the symbols represents. c. Assume that the assumption(s) you listed in part a are satisfied. Use your calculator to find the p- value. d. State your conclusion in the context of the problem. Use a .01 level of significance. 2. A kinesiologist wants to know whether children standing on one leg can keep their balance longer if they have their eyes open, compared to if their eyes are closed. a. In 1-3 sentences, describe how to design an experiment with independent groups to investigate this question. b. In 2-5 sentences, describe how to design an experiment with a paired design to investigate this question. c. What is the advantage of using a paired study design?