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) (units: mm Hg/10) 6.5 5.4 32.3 4.2 26.2 3.3 2.1 43.6 16.2 13.9 Ex = 21.5, Ey = 132.2, Ex = 104.35, Ey² = 4086.34, Exy = 650.51, and r= 0.978. (b) Use a 1% level of significance to test the claim that p > 0. (Use 2 decimal places.) 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 thatp > 0. O Fail to reject the null hypothesis, there is sufficient evidence that p > 0.
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) (units: mm Hg/10) 6.5 5.4 32.3 4.2 26.2 3.3 2.1 43.6 16.2 13.9 Ex = 21.5, Ey = 132.2, Ex = 104.35, Ey² = 4086.34, Exy = 650.51, and r= 0.978. (b) Use a 1% level of significance to test the claim that p > 0. (Use 2 decimal places.) 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 thatp > 0. O Fail to reject the null hypothesis, there is sufficient evidence that p > 0.
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
Transcribed Image Text:**Aviation and High-Altitude Physiology Analysis**
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 | 5.4 | 4.2 | 3.3 | 2.1 | (units: mm Hg/10) |
|----|-----|-----|-----|-----|-----|-------------------|
| y | 43.6| 32.3| 26.2| 16.2| 13.9| (units: mm Hg/10) |
\(\Sigma x = 21.5, \Sigma y = 132.2, \Sigma x^2 = 104.35, \Sigma y^2 = 4086.34, \Sigma xy = 650.51, \text{ and } r \approx 0.978.\)
**(b)** Use a 1% level of significance to test the claim that \( \rho > 0 \). (Use 2 decimal places.)
- \( t = \underline{\quad\quad} \)
- critical \( t = \underline{\quad\quad} \)
- Conclusion
- \( \circ \) Reject the null hypothesis, there is sufficient evidence that \( \rho > 0 \).
- \( \circ \) Reject the null hypothesis, there is insufficient evidence that \( \rho > 0 \).
- \( \circ \) Fail to reject the null hypothesis, there is insufficient evidence that \( \rho > 0 \).
- \( \circ \) Fail to reject the null hypothesis, there is sufficient evidence that \( \rho > 0 \).
\( S_e \approx 2.9006, a \approx -3.208, \text{ and } b \approx 6.895. \)
**(d)** Find the predicted pressure when breathing
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