The following sample data have been collected from independent samples from two populations. The claim is that the first population median will be larger than the median of the second population.

Sample 1 Sample 2 4.4 2.6 3.7 4.2 2.7 2.4 3.5 5.2 1.0 2.0 4.0 4.4 3.5 2.8 4.9 4.3 2.8 3.1

a. State the appropriate null and alternative hypotheses.

b. Using the Mann–Whitney U-test, based on the sample data, what should you conclude about the null hypothesis? Test using a = 0.05.