16.0p b It is detected that outliers exist in the data. Therefore we prefer to use the Wilcoxon rank sum test to test if master students are studying longer hours than bachelor students. The rank statistics are given in Table 1.2. Table 12 Ranks programme N Mean Rank Sum of Ranks hours bachelor 41 32.07 1315.00 master 31 42.35 1313.00 Total 72 1. (2 pts) Why is the Wilcoxon rank sum test better than the two-sample t test in the presence of outliers? 2. (2 pts) State the null and alternative hypotheses of the Wilcoxon rank sum test. 3. (2 pts) Give the test statistic. 4. (4 pts) State the test distribution, including the values for the parameter(s). 5. (4 pts) Given the P-value of the test statistic. Do not apply the continuity correction. 6. (2 pts) Draw your conclusion, also in common words