1. Eleven regions in the Congolese rain forest are randomly sampled. In each region rainfall was monitored for one year, and the following total yearly rainfalls, in centimeters, were reported:

{276, 255, 255, 297, 213, 241, 269, 262, 145, 185, 209}

Assume that yearly rainfalls within the Congolese rain forest are distributed normally. Test the null hypothesis that the mean yearly rainfall of all locations in the Congolese rain forest is over 200 cm. At = .01

State the conclusion in terms of the problem and calculate the P-value for this test.

2.A report by the Gallup Poll found that a woman visits her doctor, onaverage, at most 5.8 times each year. A randomsampleof 20 women results in these yearly visit totals

3, 2, 1, 3, 7, 2, 9, 4, 6, 6, 8, 0, 5, 6, 4, 2, 1, 3, 4, 1

At the=0.05 level can it be concluded that thesample meanis higher than 5.8 visits per year?