Answer Happy

9 11. It is claimed that the median increase in home own- ers’ taxes in a certain county is $300. A random sample of 20 home owners gives the following tax-increase data (arranged from smallest to largest): 137, 143, 176, 188, 195, 209, 211, 228, 233, 241, 260, 279, 285, 296, 312, 329, 342, 357, 412, 517. (a) Does the data present strong enough evidence to conclude that the claim is false? State the null and alternative hypotheses and test at level a = 0.05. (b) Does the data present strong enough evidence to con- clude that the median increase is less than 300? Test at level a = 0.05.