Focus Problem: Meteorology The Focus Problem at the beginning of this chapter asks you to use a sign test with a 5% level of significance to test the claim that the overall temperature distribution of Madison, Wisconsin, is different (either way) from that of Juneau, Alaska.

The monthly average data (in 8F) are as follows.

Month Jan. Feb. March April May June Madison 17.5 21.1 31.5 46.1 57.0 67.0 Juneau 22.2 27.3 31.9 38.4 46.4 52.8 Month July Aug. Sept. Oct. Nov. Dec.

Madison 71.3 69.8 60.7 51.0 35.7 22.8 Juneau 55.5 54.1 49.0 41.5 32.0 26.9 What is your conclusion?

please provide the following information.

(a) What is the level of significance? State the null and alternate hypotheses.

(b) Compute the sample test statistic. What is the sampling distribution?

(c) Find the P-value of the sample test statistic.

(d) Conclude the test.

(e) Interpret the conclusion in the context of the application.AppendixLO1