Questions 14,15,16

14. Inorganic phosphorous is a naturally occurring element in all plants and animals, with concentrations increasing progressively up the food chain. Geochemical surveys take soil samples to determine phosphorous content (in ppm, parts per million). A high phosphorous content may or may not indicate an ancient burial site, food storage site, or even a garbage dump. The Hill of Tara is a very important archaeological site in Ireland. It is by legend the seat of Ireland's ancient high kingst. Independent random samples from two regions in Tara gave the following phosphorous two regions. measurements (ppm). Assume the population distributions of phosphorous are mound-shaped and symmetric for these Region 1: Region II: 530 850 775 770 345 810 800 800 890 840 820 540 850 820 640 970 730 710 Alt 540 810 770 740 375 820 810 810 870 820 815 560 820 840 Do we have evidence to conclude that region I is significantly different than region 2? a. Write both null and alternative. Indicate the tail. b. Find test statistics (show formula and final answer with two decimals) c. Find P-value (round to 4 decimal places) and compare it with a. Do you reject or fail to reject the null hypothesis? d. Write the conclusion in the contest of the problem e. Find a 95% confidence interval for HI - H2 f. Interpret your intervals. 15. Test the hypothesis that o1