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 30,0o0 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 6.9 4.7 4.2 3.3 2.1 (units: mm Hg/10) y 44.6 33.9 26.2 13.9 (units: mm Hg/10) 16.2 (a) Find Xx. Ev. , E, Ey, and r. (Round only to three decimal places.) Exy (b) Use a 1% level of significance to test the claim that p> 0. (Round your answers to three decimal places.) - criticale Conclusion O Reject the nul hypothesis, there is sufficient evidence that p>0 O Reject the null hypothesis, there is insufficient evidence that e>0. O Fail to reject the null hypothesis, there is insufficient evidence that > 0. O Fall to reject the null hypothesis, there is sufficient evidence that e> 0. (c) Find Sa, and b. (Round your answers to four decimal places.)

Algebra & Trigonometry with Analytic Geometry
13th Edition
ISBN:9781133382119
Author:Swokowski
Publisher:Swokowski
Chapter7: Analytic Trigonometry
Section7.6: The Inverse Trigonometric Functions
Problem 93E
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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).
6.9
4.7
4.2
3.3
2.1
(units: mm Hg/10)
y
44.6
33.9
26.2
16.2
13.9
(units: mm Hg/10)
(a) Find Ex, Ey, Ex², Ey², Exy, and r. (Round only r to three decimal places.)
Σχ =
Ey =
Ex? =
Ey? =
Σχy-
r =
(b) Use a 1% level of significance to test the claim that p> 0. (Round your answers to three decimal places.)
t =
critical t =
Conclusion
O Reject the null hypothesis, there is sufficient evidence that p > 0.
O Reject the null hypothesis, there is insufficient evidence that p > 0.
O Fail to reject the null hypothesis, there is insufficient evidence that p > 0.
O 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.)
e
b =
(d) Find the predicted pressure when breathing pure oxygen if the pressure from breathing available air is x = 2.5. (Round your answer to two decimal places.)
mm Hg/10
(e) Find a 90% confidence interval for y when x = 2.5. (Round your answers to one decimal place.)
lower limit
mm Hg/10
upper limit
mm Hg/10
(f) Use a 1% level of significance to test the claim that B > 0. (Round your answers to three decimal places.)
t =
critical t =
Conclusion
O Reject the null hypothesis, there is sufficient evidence that B > 0.
O Reject the null hypothesis, there is insufficient evidence that B > 0.
O Fail to reject the null hypothesis, there is insufficient evidence that B > 0.
O Fail to reject the null hypothesis, there is sufficient evidence that B > 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). 6.9 4.7 4.2 3.3 2.1 (units: mm Hg/10) y 44.6 33.9 26.2 16.2 13.9 (units: mm Hg/10) (a) Find Ex, Ey, Ex², Ey², Exy, and r. (Round only r to three decimal places.) Σχ = Ey = Ex? = Ey? = Σχy- r = (b) Use a 1% level of significance to test the claim that p> 0. (Round your answers to three decimal places.) t = critical t = Conclusion O Reject the null hypothesis, there is sufficient evidence that p > 0. O Reject the null hypothesis, there is insufficient evidence that p > 0. O Fail to reject the null hypothesis, there is insufficient evidence that p > 0. O 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.) e b = (d) Find the predicted pressure when breathing pure oxygen if the pressure from breathing available air is x = 2.5. (Round your answer to two decimal places.) mm Hg/10 (e) Find a 90% confidence interval for y when x = 2.5. (Round your answers to one decimal place.) lower limit mm Hg/10 upper limit mm Hg/10 (f) Use a 1% level of significance to test the claim that B > 0. (Round your answers to three decimal places.) t = critical t = Conclusion O Reject the null hypothesis, there is sufficient evidence that B > 0. O Reject the null hypothesis, there is insufficient evidence that B > 0. O Fail to reject the null hypothesis, there is insufficient evidence that B > 0. O Fail to reject the null hypothesis, there is sufficient evidence that B > 0.
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