You are given two paired samples with the following information:

Item Sample 1 Sample 2 1 3.4 2.8 2 2.5 3.0 3 7.0 5.5 4 5.9 6.7 5 4.0 3.5 6 5.0 5.0 7 6.2 7.5 8 5.3 4.2

a. Based on these paired samples, test at the a = 0.05 level whether the true median paired difference is 0.

b. Answer part a assuming the data given here were sampled from normal distributions with equal variances.