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:7.0,5.5,4.2,3.3,2.1 (Units:mmHg/10)

Y:44.4,32.7,26.2,16.2,13.9(Units:mmHg/10)

A.Verify that x = 22.1, y = 133.4, x² = 112.19, y² = 4182.74, xy = 683.34, and r 0.985.

x
y
x2
y2
xy
r

B.Use a 10% level of significance to test the claim that > 0. (Use 2 decimal places.)

T=

Critical T=

C.Verify that S_e 2.4706, a -1.870, and b 6.459.

Se
a
b

D.Find the predicted pressure when breathing pure oxygen if the pressure from breathing available air is x = 4.9. (Use 2 decimal places.)

E.Find a 99% confidence interval for y when x = 4.9. (Use 1 decimal place.)

lower limit=

upper limit=

F.Use a 10% level of significance to test the claim that > 0. (Use 2 decimal places.)

t=

Critical t=

G.Find a 99% confidence interval for and interpret its meaning. (Use 2 decimal places.)

lower limit

upper limit