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). x 6.7 4.9 4.2 3.3 2.1 (units: mm Hg/10) y 42.6 31.5 26.2 16.2 13.9 (units: mm Hg/10) a) Use a 1% level of significance to test the claim that ? > 0. (Use 2 decimal places.) t =____ critical t=____ b) Find the predicted pressure when breathing pure oxygen if the pressure from breathing available air is x = 3.9. (Use 2 decimal places.) c) Find a 90% confidence interval for y when x = 3.9. (Use 1 decimal place.) lower limit upper limit
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).
x 6.7 4.9 4.2 3.3 2.1 (units: mm Hg/10)
y 42.6 31.5 26.2 16.2 13.9 (units: mm Hg/10)
a) Use a 1% level of significance to test the claim that ? > 0. (Use 2 decimal places.)
t =____
critical t=____
b) Find the predicted pressure when breathing pure oxygen if the pressure from breathing available air is x = 3.9. (Use 2 decimal places.)
c) Find a 90% confidence interval for y when x = 3.9. (Use 1 decimal place.)
lower limit
upper limit
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