Is in the lungs) when breathing naturally available air. Let y = partial pressure when breathing pure oxygen. The (x, y) data rs correspond to elevations from 10,000 feet to 30,000 feet in 5000 foot intervals for a random sample of volunteers. Although medical data were collected using airplanes, they apply equally well to Mt. Everest climbers (summit 29,028 feet). x 6.7 4.9 4.2 3.3 2.1 y 42.2 31.7 26.2 16.2 13.9 (units: mm Hg/10) (units: mm Hg/10) (a) Verify that Ex = 21.2, Ey = 130.2, Ex? = 101.84, Ey² = 3927.82, Exy = 630.76, and r= 0.982. Er 21.2 Ey 130.2 Ex2 101.84 Ey 3927.82 Exy 630.76 0.982 (b) Use a 10% level of significance to test the claim that p> 0. (Use 2 decimal places.)

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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)
(units: mm Hg/10)
3.3
x 6.7
Ly 42.2
4.9
4.2
2.1
31.7
26.2
16.2
13.9
(a) Verify that Ex = 21.2, Ey = 130.2, Ex? = 101.84, Ey? = 3927.82, Exy = 630.76, and r= 0.982.
Ir =
Ex 21.2
Ey 130.2
Ex2 101.84
Ey2 3927.82
Exy 630.76
r 0.982
(b) Use a 10% level of significance to test the claim that p > 0. (Use 2 decimal places.)
t 9.01
critical t 1.64
Conclusion
O Reject the null hypothesis, there is sufficient evidence thatp >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) Verify that S 2.5193, a -1.883, and b = 6.586.
Se 2.519
a -1.883
b 6.586
(d) Find the predicted pressure when breathing pure oxygen if the pressure from breathing available air is x = 4.7. (Use 2
decimal places.)
(e) Find a 99% confidence interval for y when x = 4.7. (Use 1 decimal place.)
lower limit
upper limit
(f) Use a 10% level of significance to test the claim that ß > 0. (Use 2 decimal places.)
critical t
Conclusion
O Reject the null hypothesis, there is sufficient evidence that ß > 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 ß > 0.
O Fail to reject the null hypothesis, there is sufficient evidence that B > 0.
(9) Find a 99% confidence interval for ß and interpret its meaning. (Use 2 decimal places.)
lower limit
upper limit
Interpretation
O For a one-unit increase in oxygen pressure breathing only available air, the oxygen pressure breathing pure
oxygen increases by an amount that falls outside the confidence interval.
O For a one-unit increase in oxygen pressure breathing only available air, the oxygen pressure breathing pure
oxygen increases by an amount that falls within the confidence interval.
O For a one-unit increase in oxygen pressure breathing only available air, the oxygen pressure breathing pure
oxygen decreases by an amount that falls outside the confidence interval.
O For a one-unit increase in oxygen pressure breathing only available air, the oxygen pressure breathing pure
oxygen decreases by an amount that falls within the confidence interval.
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) (units: mm Hg/10) 3.3 x 6.7 Ly 42.2 4.9 4.2 2.1 31.7 26.2 16.2 13.9 (a) Verify that Ex = 21.2, Ey = 130.2, Ex? = 101.84, Ey? = 3927.82, Exy = 630.76, and r= 0.982. Ir = Ex 21.2 Ey 130.2 Ex2 101.84 Ey2 3927.82 Exy 630.76 r 0.982 (b) Use a 10% level of significance to test the claim that p > 0. (Use 2 decimal places.) t 9.01 critical t 1.64 Conclusion O Reject the null hypothesis, there is sufficient evidence thatp >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) Verify that S 2.5193, a -1.883, and b = 6.586. Se 2.519 a -1.883 b 6.586 (d) Find the predicted pressure when breathing pure oxygen if the pressure from breathing available air is x = 4.7. (Use 2 decimal places.) (e) Find a 99% confidence interval for y when x = 4.7. (Use 1 decimal place.) lower limit upper limit (f) Use a 10% level of significance to test the claim that ß > 0. (Use 2 decimal places.) critical t Conclusion O Reject the null hypothesis, there is sufficient evidence that ß > 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 ß > 0. O Fail to reject the null hypothesis, there is sufficient evidence that B > 0. (9) Find a 99% confidence interval for ß and interpret its meaning. (Use 2 decimal places.) lower limit upper limit Interpretation O For a one-unit increase in oxygen pressure breathing only available air, the oxygen pressure breathing pure oxygen increases by an amount that falls outside the confidence interval. O For a one-unit increase in oxygen pressure breathing only available air, the oxygen pressure breathing pure oxygen increases by an amount that falls within the confidence interval. O For a one-unit increase in oxygen pressure breathing only available air, the oxygen pressure breathing pure oxygen decreases by an amount that falls outside the confidence interval. O For a one-unit increase in oxygen pressure breathing only available air, the oxygen pressure breathing pure oxygen decreases by an amount that falls within the confidence interval.
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