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 6.5 5.3 4.2 3.3 2.1 (units: mm Hg/10) y (a) Find Ex, Ey, Ex, Ey, Exy, and r. (Round only to three decimal places.) Conclusion Exal (b) Use a 1% level of significance to test the claim that p > 0. (Round your answers to three decimal places.) Eyel 42.6 33.9 26.2 16.2 13.9 (units: mm Hg/10) critical t Ex=l Conclusion Ey= Reject the null hypothesis, there is sufficient evidence that p > 0. Reject the null hypothesis, there is insufficient evidence that p > 0. Fail to reject the null hypothesis, there is insufficient evidence that p>0. Fail to reject the null hypothesis, there is sufficient evidence that p > 0. mm Hg/10 Exy=l (c) Find S, a, and b. (Round your answers to four decimal places.) Sal (d) Find the predicted pressure when breathing pure oxygen if the pressure from breathing available air is x = 4.5. (Round your answer to two decimal places.) ba (e) Find a 90% confidence interval for y when x = 4.5. (Round your answers to one decimal place.) mm Hg/10upper limit lower limit (f) Use a 1% level of significance to test the claim that ß > 0. (Round your answers to three decimal places.) critical t mm Hg/10 Reject the null hypothesis, there is sufficient evidence that >0. Reject the null hypothesis, there is insufficient evidence that 3 >0. Fail to reject the null hypothesis, there is insufficient evidence that B>0. Fail to reject the null hypothesis, there is sufficient evidence that 3 > 0.

Algebra & Trigonometry with Analytic Geometry
13th Edition
ISBN:9781133382119
Author:Swokowski
Publisher:Swokowski
Chapter7: Analytic Trigonometry
Section7.6: The Inverse Trigonometric Functions
Problem 91E
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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).
(units: mm Hg/10)
t
Conclusion
X
y 42.6
(a)
Find Ex, Ey, Ex, Ey, Exy, and r. (Round only r to three decimal places.)
6.5
Ey=
Ex=l
(b)
Use a 1% level of significance to test the claim that p > 0. (Round your answers to three decimal places.)
critical t
a=
Conclusion
5.3 4.2 3.3 2.1
33.9 26.2 16.2 13.9
Σχ=Ι
mm Hg/10
Ey²=l
Reject the null hypothesis, there is sufficient evidence that p>0. Reject the null hypothesis, there is
insufficient evidence that p > 0. Fail to reject the null hypothesis, there is insufficient evidence that
p > 0.
Fail to reject the null hypothesis, there is sufficient evidence that p > 0.
(c)
Find S, a, and b. (Round your answers to four decimal places.)
(units: mm Hg/10)
b=
Exy=l
Se=
(d)
Find the predicted pressure when breathing pure oxygen if the pressure from breathing available air
is x = 4.5. (Round your answer to two decimal places.)
(e)
Find a 90% confidence interval for y when x = 4.5. (Round your answers to one decimal place.)
mm Hg/10upper limit
lower limit
(f)
Use a 1% level of significance to test the claim that ß > 0. (Round your answers to three decimal places.)
critical t=
mm Hg/10
Reject the null hypothesis, there is sufficient evidence that 3 >0. Reject the null hypothesis, there is
insufficient evidence that 3 > 0. Fail to reject the null hypothesis, there is insufficient evidence that
B >0.
Fail to reject the null hypothesis, there is sufficient evidence that 3 > 0.
Transcribed Image Text: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). (units: mm Hg/10) t Conclusion X y 42.6 (a) Find Ex, Ey, Ex, Ey, Exy, and r. (Round only r to three decimal places.) 6.5 Ey= Ex=l (b) Use a 1% level of significance to test the claim that p > 0. (Round your answers to three decimal places.) critical t a= Conclusion 5.3 4.2 3.3 2.1 33.9 26.2 16.2 13.9 Σχ=Ι mm Hg/10 Ey²=l Reject the null hypothesis, there is sufficient evidence that p>0. Reject the null hypothesis, there is insufficient evidence that p > 0. Fail to reject the null hypothesis, there is insufficient evidence that p > 0. Fail to reject the null hypothesis, there is sufficient evidence that p > 0. (c) Find S, a, and b. (Round your answers to four decimal places.) (units: mm Hg/10) b= Exy=l Se= (d) Find the predicted pressure when breathing pure oxygen if the pressure from breathing available air is x = 4.5. (Round your answer to two decimal places.) (e) Find a 90% confidence interval for y when x = 4.5. (Round your answers to one decimal place.) mm Hg/10upper limit lower limit (f) Use a 1% level of significance to test the claim that ß > 0. (Round your answers to three decimal places.) critical t= mm Hg/10 Reject the null hypothesis, there is sufficient evidence that 3 >0. Reject the null hypothesis, there is insufficient evidence that 3 > 0. Fail to reject the null hypothesis, there is insufficient evidence that B >0. Fail to reject the null hypothesis, there is sufficient evidence that 3 > 0.
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