Do people walk faster in the airport when they are departing (getting on a plane) or do they walk faster when they are arriving (getting off a plane)? A reputable researcher measured the walking speed of random travelers in two International Airports. His findings are summarized in the table. Complete parts (a)-(c) below. Eff Click the icon to view the findings. (a) Is this an observational study or a designed experiment? Why? O A. This is a designed experiment since the researcher did not influence the data. O B. This is an observational study since the researcher influenced the data. O C. This is an observational study since the researcher did not influence the data. O D. This is a designed experiment since the researcher influenced the data. - X Walking speed Direction of Travel Departure Arrival Mean speed 256 269 (feet per minute) Standard deviation 53 (feet per minute) Sample size 35 35 Print Done (b) Explain why it is reasonable to use Welch's t-test. (c) Do individuals walk at different speeds depending on whether they are departing or arriving at the a = 0.05 level of significance? Let u, represent the mean speed of people departing and uz represent the mean speed of people arriving. Choose the level of significance. In this case, the level of significance has been given as a = 0.05. This problem could be solved using the classical approach or the P-value approach, but here, the P-value approach will be used. A P-value is the probability of observing a sample statistic as extreme or more extreme than the one observed under the assumption that the null hypothesis is true. Report the P-value from the technology output, rounding to three decimal places. P-value = 0.137