E) find a 90% confidence interval for y when x = 4.1 round your answer to two decimal places. lower limits and upper limits. F) use a 5% level of significance to test the claim that b>0 round your answer to two decimal places. t= and critical t= G) find a 90% confidence interval for b and interpret its meaning. round your answer to two decimal places. lower limits and upper limits

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). 7.1 3,3 2.1 (units: mm Hg/10) 42.4 33.9 26.2 16.2 13.9 (units: mm Hg/10) (a) Verify that Ex = 21.9, Ey = 132.6, Ex2 = 110.39, Ey2 =4089.06, Exy -670.01, and / ~ 0.980. Exy (b) Use a 5% 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. O Reject the null hypothesis, there is insufficient evidence that p s 0. O Fail to reject the null hypothesis, there is insufficient evidence that p 3 0. O Fail to reject the null hypothesis, there is sufficient evidence that p > 0. (c) Verify that S. & 2.7258, a * 0.491, and b * 6.167. ro (d) Find the predicted pressure when breathing pure oxygen if the pressure from breathing available air is x = 4.1. (Use 2 decimal places.)