Aviation and high-altitude physiology is a specialty in the study of medicine. Let x = partial pressure of oxygen in the alveoli (air cells in the lungs) when breathing naturally available air. Let y = partial pressure when breathing pure oxygen. The (x, y) data pairs correspond to elevations from 10,000 feet to 30,000 feet in 5000 foot Intervals for a random sample of volunteers. Although the medical data were collected using airplanes, they apply equally well to Mt. Everest climbers (summit 29,028 feet). 5.0 4.2 3.3 2.1 (units: mm Hg/10) 43.2 31.7 26.2 16.2 13.9 (units: mm Hg/10) (a) Verify that Ex - 21.2, Zy = 131.2, Ex2 = 101.5, Zy2= 4013.22, Exy = 636.31, and r = 0,983. Ex Ey Ex (b) Use a 10% level of significance to test the claim that p > 0. (Use 2 decimal places.) critical Conclusion O Reject the null hypothesis, there Is sufficient evidence that p > 0. Reject the null hypothesis, there is insufficient evidence that p > 0. O Fail to reject the null hypothesis, there is Insufficient evidence that p > 0. Fall to reject the null hypothesis, there is sufficient evidence that p > 0. (c) Verify that S = 2.5216, a = -2.979, and b = 6.891. d) Find the predicted pressure when breathing pure oxygen if the pressure from breathing available air Is x = 2.9. (Use 2 decimal places.) (e) Find a 99% confidence interval for y when x = 2.9. (Use 1 decimal place.) lower limit upper limit (f) Use a 10% level of significance to test the claim that p > 0. (Use 2 decimal places.) critical t Conclusion O Reject the null hypothesis, there is sufficient evidence that @ > 0. O Reject the null hypothesis, there is insufficient evidence that p > 0. Fall to reject the null hypothesis, there Is insufficient evidence that f > 0. Fall to reject the null hypothesis, there is sufficient evidence that f > 0. (g) Find a 99% confidence interval for / and interpret its meaning. (Use 2 decimal places.) lower limit upper limit