Question

11. It is claimed that the median increase in home owners' 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 $alpha = 0.05$. (b) Does the data present strong enough evidence to conclude that the median increase is less than 300? Test at level $alpha = 0.05$.

          11. It is claimed that the median increase in home owners' 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 $alpha = 0.05$.
(b) Does the data present strong enough evidence to conclude that the median increase is less than 300? Test at level $alpha = 0.05$.

11. It is claimed that the median increase in home owners' 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 levelalpha = 0.05.
(b) Does the data present strong enough evidence to conclude that the median increase is less than 300? Test at levelalpha = 0.05.

Added by Christopher J.

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