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...


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

6.95.34.23.32.1(units: mm Hg/10)


y

42.433.526.216.213.9(units: mm Hg/10)

(c) Verify that
Se

≈ 2.4092,
a
≈ -1.278, and
b
≈ 6.357.
















Se


a

b


(d) Find the predicted pressure when breathing pure oxygen if the pressure from breathing available air is
x
= 3.3. (Use 2 decimal places.)




(e) Find a 90% confidence interval for
y
when
x
= 3.3. (Use 1 decimal place.)











lower limit
upper limit


(f) Use a 5% level of significance to test the claim that β > 0. (Use 2 decimal places.)












t
critical
t



Jun 01, 2022
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