Identify the appropriate nonparametric test for each of the following examples and explain why a nonparametric test is appropriate. 1. A researcher measures fear as the time it takes to walk across a presumably scary portion of campus. The times (in seconds) that it took a sample of 12 participants were 8, 12, 15, 13, 12, 10, 6, 10, 9, 15, 50, and 52. The Mann Kendall test is used to analyze data collected over time for consistently increasing or decreasing trends in Y values. It is a nonparametric test, which means it works for all distributions. 2. Two groups of participants were given 5 minutes to complete a puzzle. The participants were told that the puzzle would be easy. In truth, in one group, the puzzle had a solution (Group Solution), and in the second group, the puzzle had no solution (Group No Solution). The researchers measured stress levels and found that frustration levels were low for all participants in Group Solution and for all but a few participants who showed strikingly high levels of stress in Group No Solution. The Mann-Whitney test can be applied here; comparing differences between two independent when dependent is either ordinal or continuous